School of Management Unit Catalogue

ECOI0006: Introductory microeconomics
Semester 1
Credits: 6
Contact:
Topic: Economics
Level: Level 1
Assessment: EX50 OT50
Requisites: Ex ECOI0001
Aims & learning objectives:
The course is designed to provide an introduction to the methods of microeconomic analysis, including the use of simple economic models and their application. Students should gain an ability to derive conclusions from simple economic models and evaluate their realism and usefulness.
Content:
An introduction to economic methodology; the concept of market equilibrium; the use of demand and supply curves, and the concept of elasticity; elementary consumer theory, indifference curves and their relationship to market demands; elementary theory of production, production possibilities and their relationship to cost curves; the supply behaviour of competitive firms and its relationship to supply curves; the idea of general competitive equilibrium; the efficiency properties of competitive markets; examples of market failure.

ECOI0007: Introductory macroeconomics
Semester 2
Credits: 6
Contact:
Topic: Economics
Level: Level 1
Assessment: EX50 OT50
Requisites: Ex ECOI0002
Aims & learning objectives:
The course is designed to provide an introduction to the methods of macroeconomic analysis, including the use of simple macroeconomic models and their application in a UK policy context.
Content:
The circular flow of income and expenditure; national income accounting; aggregate demand and supply; the components and determinants of private and public aggregate expenditure in closed and open economies; output and the price level in the short- and long -run; monetary institutions and policy. The analysis of inflation and unemployment policies, the balance of payments and exchange rates, savings and economic growth.

ECOI0010: Intermediate microeconomics
Semester 1
Credits: 6
Contact:
Topic: Economics
Level: Level 2
Assessment: EX50 OT50
Requisites: Pre ECOI0006
Aims & learning objectives:
The aim is to provide students specialising in economics with the analytical foundations for the study of resource allocation within the household, firm, government, or other institutions in a modern economy. It is essential for anyone wishing to undertake further study of the economics of industry, labour, environment and other sectoral economic issues.
Content:
The course will cover the theory of consumer behaviour, the theory of the firm in a competitive situation, industrial organisation and imperfect competition, the theory of factor markets, the economics of information, welfare economics and general equilibrium theory.

ECOI0018: Mathematical economics
Semester 2
Credits: 6
Contact:
Topic: Economics
Level: Level 2
Assessment: EX80 CW20
Requisites: Pre ECOI0006, Pre ECOI0007
Aims & learning objectives:
The aim of this course is to equip students with an understanding of, and an ability to use, mathematical methods in economics
Content:
The course covers constrained optimisation for the household and the firm using the Lagrangian method, including duality; linear programming; matrix algebra as applied to input-output analysis and macro-models; the use of first and second order difference and differential equations in economic dynamics; simple non-linear dynamics. Students who have completed the first year of a Mathematics degree programme or have A-level Mathematics may also take this unit.

ECOI0024: Economics of development 1
Semester 1
Credits: 6
Contact:
Topic: Economics
Level: Level 3
Assessment: EX50 ES30 CW20
Requisites: Pre ECOI0001, Pre ECOI0002, Pre ECOI0006, Pre ECOI0007
Aims & learning objectives:
To relate economic theory to debates over the determinants of global poverty, and over the prospects for economic development and poverty reduction in low and middle income countries.
Content:
The status of development economics as a sub-discipline. Open and closed dual economy models of industrialization. Industrialization and trade strategies. Definition and measurement of poverty. Models of the farm-household, and theories of agrarian change. Demographic transition and the environment. As well as the stated pre-requisites students must also have taken at least 2 second year economics units.

ECOI0025: Economics of development 2
Semester 2
Credits: 6
Contact:
Topic: Economics
Level: Level 3
Assessment: EX50 ES50
Requisites: Pre ECOI0024, Pre ECOI0028
Aims & learning objectives:
To apply general theories of economic development to contemporary issues in selected low and middle income countries, and to understand the relationship between economics and other social science disciplines relevant to the analysis of these issues.
Content:
Development economics is first located within the wider framework of development studies. Contemporary policy issues in selected low and middle income countries are then considered, with a current focus on the origins, components and effects of stabilisation and structural adjustment in Sub-Saharan Africa and South Asia.

ECOI0026: Economics of transition
Semester 2
Credits: 6
Contact:
Topic: Economics
Level: Level 3
Assessment: EX100
Requisites: Pre ECOI0010, Pre ECOI0011
Aims & learning objectives:
To use economic analysis to understand the changes which are taking place in Central and Eastern Europe and the former Soviet Union, relating them to the creation of market economies.
Content:
Topics covered will include the speed and sequencing of adjustment; privatisation; financial markets; foreign trade; growth and inflation; legal changes; the labour market; public finance issues.

ECOI0027: International monetary economics
Semester 2
Credits: 6
Contact:
Topic: Economics
Level: Level 3
Assessment: EX100
Requisites: Pre ECOI0010, Pre ECOI0011
Aims & learning objectives:
The aim is to present a fairly rigorous account of the material that relates to monetary aspects of an open economy. The emphasis is on theory and analysis rather than policy. Students should gain a critical appreciation of the theoretical tools used in this important area of economics alongside an understanding of the different "economic" worlds they can be used to create.
Content:
The course tries to emphasise debate by generally constrasting a Keynesian real side approach with a more classically inspired monetary approach. Specific topics include: the nature and significance of the balance of payments; parity concepts; the "efficient markets" hypothesis; devaluation; open economy macroeconomics; flexible versus fixed exchange rates; the foreign trade sector, "Europe" and international policy co-ordination.

ECOI0028: Economic growth & natural resources
Semester 1
Credits: 6
Contact:
Topic: Economics
Level: Level 3
Assessment: EX100
Requisites: Pre ECOI0010, Pre ECOI0011
Aims & learning objectives:
The aim is to provide a fairly sophisticated account of theories of economic growth and of natural resource use, leading on to a discussion of the concept of sustainable development. Though the course draws on some techniques of dynamic optimisation, the emphasis is on economic intuition and empirical relevance rather than rigorous mathematical proof.
Content:
The neo-classical model of growth; endogenous growth; optimal saving; depletion of exhaustible resources; management of renewable resources; intergenerational equity; sustainable development.

ECOI0029: Environmental economics
Semester 2
Credits: 6
Contact:
Topic: Economics
Level: Level 3
Assessment: EX100
Requisites: Pre ECOI0010
Aims & learning objectives:
The course provides the economic perspective on environmental regulation and on the management of natural resources. The emphasis is on the use of economic tools to value environmental impacts and the use of natural resources; and to design cost effective methods of controlling pollution and misuse of the natural environment.
Content:
The course will discuss the welfare economic basis of environmental economics and why market systems do not provide adequate environmental protection. It will go on to study different methods of valuing the environment and on regulating it in a national context. Finally it will deal with the theme of environment and development, and the idea of sustainable development.

ECOI0030: Advanced microeconomics
Semester 2
Credits: 6
Contact:
Topic: Economics
Level: Level 3
Assessment: EX100
Requisites: Pre ECOI0010, Pre ECOI0018
Aims & learning objectives:
The aim of this course is to build on second year microeconomics and introduce topics that are the subject of recent academic research. This will provide students with: (i) an understanding of the scope of modern microeconomics and its applications, (ii) an ability to read and understand current literature in microeconomics, (iii) an ability to use advanced microeconomic concepts in analysing specific issues.
Content:
The course covers topics that deal with three inter-related issues: the passage of time, uncertainty about the future, the use of information. These include: the principles of decision making under uncertainty, with applications to insurance, stock-markets and firm behaviour; investment behaviour of firms under certainty and uncertainty; problems of asymmetric information; screening and signalling; strategic behaviour.

ECOI0031: Advanced macroeconomics
Semester 1
Credits: 6
Contact:
Topic: Economics
Level: Level 3
Assessment: EX100
Requisites: Pre ECOI0011
Aims & learning objectives:
The aim of this course is to build on second year macroeconomics and introduce topics that are the subject of recent academic research, this will provide students with: (I) anunderstanding of the scope of modern macroeconomics and its applications, (ii) an ability to read and understand current literature in macroeconomics, (iii) an ability to use advanced macroeconomic concepts in analysing specific issues.
Content:
The course covers in depth two inter-related issues: the causes of business cycles and of unemployment. Topics covered include modern real business cycle theory; endogenous business cycles, simple non-linear models, wage and price rigidity, insider and outsider behaviour, efficiency wages and unemployment hysteresis.

ECOI0034: International trade
Semester 1
Credits: 6
Contact:
Topic: Economics
Level: Level 3
Assessment: EX100
Requisites: Pre ECOI0010
Aims & learning objectives:
The aim of the course is to provide an understanding of the way in which economic theory can be applied to issues such as why countries engage in international trade and why they adopt trade restraints. The emphasis of the course is on theory and analysis rather than description. Students will become more skilled in understanding and applying economic analysis and more aware of economic debates concerning current issues in international trade.
Content:
After an introduction to basic concepts, the topics discussed will include: comparative advantage; the gains from trade; adjustment costs; the Heckscher-Ohlin-Samuelson model; the Specific Factors Model; theories of intra-industry trade; the costs of protection, smuggling, trade taxes as a revenue source; the optimum tariff; export subsidies; international cartels, quotas and voluntary export restraint,; international integration; multinational enterprises and the welfare effects of the international movement of factors of production.

ECOI0035: Public expenditure & public choice
Semester 1
Credits: 6
Contact:
Topic: Economics
Level: Level 3
Assessment: EX100
Requisites: Pre ECOI0010
Aims & learning objectives:
The aim of the course is to examine alternative ways by which the allocation of resources within the public sector can be evaluated. Criteria for evaluation of public expenditure are discussed and techniques, such as cost benefit analysis, are appraised. An important learning objective is to develop an understanding of how different perspectives can be applied. In particular, the standard public finance approach is contrasted with the more recent public choice approach. The course is theoretical and analytical rather than descriptive.
Content:
The course begins with a review of welfare economics (- as public expenditure analysis is applied welfare economics). Market failure and the rationale for government intervention is assessed. The impact of alleged failings in the political process is also assessed. The behaviour of voters, political parties, bureaucrats and pressure groups is analysed using microeconomic theory. The growth of the public sector is considered in terms of both market and government failure. Techniques for public sector appraisal are discussed.

ECOI0036: Economics of taxation
Semester 2
Credits: 6
Contact:
Topic: Economics
Level: Level 3
Assessment: EX100
Requisites: Pre ECOI0010, Pre ECOI0011
Aims & learning objectives:
The aim is to provide criteria which can be used to assess different taxes. The student will learn how to appraise tax reform against a set of criteria which include efficiency, equity, etc. The learning objective is to develop skills associated with the application of economic theory. The course is theoretical and analytical rather than descriptive.
Content:
The course begins with an analysis of the welfare costs of taxation. Tax incidence is discussed. The effect of tax on work effort, saving and risk taking is explored (and, in particular, the claims of supply-side economists are assessed). Tax expenditures (e.g. tax relief for charitable giving) are appraised. Tax evasion and policy to deter tax evasion is discussed International taxation is considered. The choice between taxation and government borrowing is examined.

ECOI0037: Macroeconomic modelling
Semester 2
Credits: 6
Contact:
Topic: Economics
Level: Level 3
Assessment: EX100
Requisites:
Aims & learning objectives:
The aim is to provide a thorough grounding in the practice, techniques and limitations of macroeconomic modelling.
Content:
Building a macroeconomic model, optimisation subject to the constraints of a model, comparison of UK macroeconomic models and industry forecasting models.

ECOI0038: Advanced econometrics 1
Semester 1
Credits: 6
Contact:
Topic: Economics
Level: Level 3
Assessment: EX100
Requisites: Pre ECOI0021, Pre ECOI0020
Aims & learning objectives:
The aim is to extend the knowledge of econometrics to a very high and rigorous level. The language is a combination of matrix algebra and maximum likelihood. The emphasis is on both theory and applications in equal measure. The course concentrates on both time series analysis and cross section analysis.
Content:
The course builds on the econometrics course and includes 3sls, fiml, probit, logit and other limited dependent variable techniques and sure.

ECOI0039: Advanced econometrics 2
Semester 2
Credits: 6
Contact:
Topic: Economics
Level: Level 3
Assessment: EX100
Requisites: Pre ECOI0038
Aims & learning objectives:
The aim is to extend the knowledge of econometrics to a very high and rigorous level. The language is a combination of matrix algebra and maximum likelihood. The emphasis is on both theory and applications in equal measure. The course concentrates on both time series analysis.
Content:
The course builds on the Advanced Econometrics I course and includes splines, vars, Granger causality, Box and Cox methods and spectral analysis.

ECOI0044: Prices & markets
Semester 1
Credits: 5
Contact:
Topic: Economics
Level: Level 1
Assessment: EX100
Requisites:
Aims & learning objectives:
This course aims to provide an understanding of the theory of price determination in different market structures, and the influence of the macro economy on the business environment. The unit aims to develop students understanding of the forces determining supply and demand for the individual firm in both product and factor markets. The effects of taxes and the role of government in markets will be discussed.
Content:
The subject matter of economics. The macro economic environment: circular flow of income including role of government and foreign trade. Specialisation and exchange. Markets, prices and allocation. Non-market allocation; role of government. Household behaviour. Business behaviour; production and costs; market structure - perfect competition, monopoly, monopolistic competition. Demand for factors ; wage determination; investment.

ECOI0045: Placement
Academic Year
Credits: 60
Contact:
Topic:
Level: Level 2
Assessment:
Requisites:
Aims & learning objectives:
The placement period enables the student to gain valuable practical experience.
Content:
Please see the Director or Studies or course tutor for details about individual placements.

EDUC0001: Exploring effective learning
Semester 1
Credits: 6
Contact:
Topic:
Level: Level 1
Assessment: CW100
Requisites:
Aims & learning objectives:
This unit is intended for those students who wish to explore their own learning and to develop strategies for improving it. The unit reviews learning in lectures, tutorials, seminars etc and assessment as encountered by students in higher education. Starting from the students own approaches to learning it considers more effective ways based on experience and research.
Content:
The nature of learning; what is learnt (skills, knowledge, values etc.); learning styles; learning in groups; autonomy in learning; communication as part of the learning process; study skills; presentation skills; time management; assessment and being assessed. This is the recommended unit for those wishing to do one education unit in the year, outside their degree programme.

EDUC0001: Exploring effective learning
Semester 2
Credits: 6
Contact:
Topic:
Level: Level 1
Assessment: CW100
Requisites:
Aims & learning objectives:
The aim is to review the student's own learning in order to identify approaches to learning which are effective and to develop a better understanding of the learning process in the context of study in Higher Education. The objectives are that students should understand better their own learning and be able to identify effective learning strategies; they should be able to debate and discuss critically their own learning
Content:
The nature of learning; what is learnt (skills, knowledge, values etc.); learning styles; learning in groups; autonomy in learning; communication as part of the learning process; study skills; presentation skills; time management; assessment and being assessed.

EDUC0002: Learning: Theory & context
Semester 2
Credits: 6
Contact:
Topic:
Level: Level 1
Assessment: CW100
Requisites:
Aims & learning objectives:
This unit will consider more theoretical aspects of learning. It will consider theories of learning and their application in particular situations including schools, colleges, universities and lifelong learning. It will also explore the implications of new technologies for learning and the impact of visual literacy on learning.
Content:
Learning theories; information processing; experiential learning; metacognition; reflection; language and learning; memory. Contexts for learning: schools, further education, higher education, distance and open learning, the workplace, lifelong learning. It is advisable to have done EDUC0001 before this unit, but it is not a requirement. However, Natural Science students must have taken EDUC0001 in order to undertake this unit.

ELEC0047: Design & realisation of integrated circuits
Semester 2
Credits: 6
Contact:
Topic:
Level: Undergraduate Masters
Assessment: EX100
Requisites:
Aims & learning objectives:
This course covers all aspects of the realisation of integrated circuits, including both digital, analogue and mixed-signal implementations. Consideration is given to the original specification for the circuit which dictates the optimum technology to be used also taking account of the financial implications. The various technologies available are described and the various applications, advantages and disadvantages of each are indicated. The design of the circuit building blocks for both digital and analogue circuits are covered. Computer aided design tools are described and illustrated and the important aspects of testing and design for testability are also covered. After completing this module the student should be able to take the specification for an IC and, based on all the circuit, technology and financial constraints, be able to determine the optimum design approach. The student should have a good knowledge of the circuit design approaches and to be able to make use of the computer aided design tools available and to understand their purposes and limitations. The student should also have an appreciation of the purposes of IC testing and the techniques for including testability into the overall circuit design.
Content:
Design of ICs: the design cycle, trade-offs, floorplanning, power considerations, economics. IC technologies: Bipolar, nMOS, CMOS, BiCMOS, analogue, high frequency. Transistor level design: digital gates, analogue components, sub-circuit design. IC realisation: ASICs, PLDs, gate arrays, standard cell, full custom. CAD: schematic capture, hardware description languages, device and circuit modelling, simulation, layout, circuit extraction. Testing: types of testing, fault modelling, design for testability, built in self test, scan-paths.

ESML0141: Business French option 1A
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: CW100
Requisites:
Students must have have a minimum of a GCSE Grade C and/or have taken Single Language Option units during year 1 or the equivalent in order to undertake this unit. Students must also take ESML0142 in year 3 if they take this unit. Aims & learning objectives:
A course to revive, develop and consolidate foreign language skills in order to enable students to operate effectively in the sphere of business and management
Content:
Semester 1: Intensive language work with emphasis on aural comprehension and oral communication. Teaching methods integrate a variety of forms of language learning through the exploitation of foreign language television broadcasts, audio-visual materials and a business language course text. This part of the course concentrates mainly on the practical language necessary for doing business, but also includes work on more theoretical themes such as the various types of company job application and interview practice. Overall fluency and grammatical accuracy are practised throughout the course.

ESML0142: Business French option 1B
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX60 CW40
Requisites: Pre ESML0141
Aims & learning objectives:
A course to revive, develop and consolidate foreign language skills in order to enable students to operate effectively in the sphere of business and management
Content:
Semester 2: Further development of linguistic proficiency using the same methods as in Semester 1. The second part of the course is concerned with more real world material such as economics magazines and TV news items, on which the study of many aspects of the foreign business environment will be based. Continued emphasis on overall fluency and grammatical accuracy.

ESML0143: Business French option 2
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 CW40
Requisites: Pre ESML0142
Aims & learning objectives:
A course to upgrade, review and refine language skills already acquired during Years 2 and 3 in order that students may operate confidently and effectively in the sphere of foreign business and management.
Content:
Target language is used throughout the course, emphasising fluency and grammatical accuracy. Topics reviewed include communications, marketing, sales and finance, as well as other relevant and/or topical aspects of the foreign business environment.

ESML0204: Chinese stage 1A (beginners) (6 credits)
Semester 1
Credits: 6
Contact:
Topic: Chinese
Level: Level 1
Assessment: CW100
Requisites: Co ESML0205
Aims & learning objectives:
An introduction to basic Chinese ("putonghua") as a preparation to communicating in a Chinese context.
Content:
Basic Chinese grammatical forms. Recognition and production of essential Chinese characters; the Chinese phonetic system and the Pinyin system. Initial emphasis will be placed on speaking and listening. Reading and writing tasks of an appropriate nature will be gradually incorporated. Special attention will be paid to the recognition and differentiation of tones.

ESML0205: Chinese stage 1B (6 credits)
Semester 2
Credits: 6
Contact:
Topic: Chinese
Level: Level 1
Assessment: CW100
Requisites: Co ESML0204
Aims & learning objectives:
A continuation of Chinese Stage 1A
Content:
A continuation of Chinese Stage 1A

ESML0208: Chinese stage 3A (advanced beginners) (6 credits)
Semester 1
Credits: 6
Contact:
Topic: Chinese
Level: Level 1
Assessment: EX45 CW40 OR15
Requisites: Co ESML0209
Aims & learning objectives:
This course builds on the Chinese covered in Chinese Stage 2 A and B in order to enhance the student's abilities in the four skill areas.
Content:
This unit contains a variety of listening, reading, speaking and writing tasks covering appropriate grammatical structures and vocabulary relating to China, Singapore and Taiwan. There will be discussion in the target language of topics derived from teaching materials, leading to small-scale research projects based on the same range of topics and incorporating the use of press reports and articles as well as audio and visual material. Students are encouraged to devote time and energy to developing linguistic proficiency outside the timetabled classes, for instance by additional reading and/or participating in informally arranged conversation groups and in events at which Chinese is spoken.

ESML0209: Chinese stage 3B (6 credits)
Semester 2
Credits: 6
Contact:
Topic: Chinese
Level: Level 1
Assessment: EX45 CW40 OR15
Requisites: Co ESML0208
Aims & learning objectives:
A continuation of Chinese Stage 3A
Content:
A continuation of Chinese Stage 3A

ESML0210: French stage 7A (advanced) (6 credits)
Semester 1
Credits: 6
Contact:
Topic: French
Level: Level 2
Assessment: CW100
Requisites: Co ESML0211
Aims & learning objectives:
A course to consolidate, refine and enhance previous advanced knowledge of French
Content:
This unit contains a variety of listening, reading, speaking and writing tasks covering appropriate grammatical structures and vocabulary. Teaching materials cover a wide range of cultural, political and social topics relating to France and may include short works of literature. There will be discussion in the target language of topics derived from teaching materials, leading to small-scale research projects based on the same range of topics and incorporating the use of press reports and articles as well as audio and visual material. Students are encouraged to devote time and energy to developing linguistic proficiency outside the timetabled classes, for instance by additional reading and/or participating in informally arranged conversation groups and in events at which French is spoken. Audio and video laboratories are available to augment classroom work.

ESML0211: French stage 7B (6 credits)
Semester 2
Credits: 6
Contact:
Topic: French
Level: Level 2
Assessment: CW100
Requisites: Co ESML0210
Aims & learning objectives:
A continuation of French Stage 7A
Content:
A continuation of French Stage 7A

ESML0214: French stage 9A (further advanced) (6 credits)
Semester 1
Credits: 6
Contact:
Topic: French
Level: Level 2
Assessment: EX45 CW40 OR15
Requisites: Co ESML0215
Aims & learning objectives:
A continuation of the work outlined in French 8A and 8B
Content:
This unit contains a variety of listening, reading, speaking and writing tasks covering appropriate grammatical structures and vocabulary. Teaching materials used cover a wide variety of sources and cover aspects of cultural political and social themes relating to France. Works of literature or extracts may be included, as well as additional subject-specific material, as justified by class size. This may encompass scientific and technological topics as well as materials relevant to business and industry. There will be discussion in the target language of topics relating to and generated by the teaching materials, with the potential for small-scale research projects and presentations. Audio and video materials form an integral part of this study, along with newspaper, magazine and journal articles. Students are actively encouraged to consolidate their linguistic proficiency outside the timetabled classes, by additional reading, links with native speakers and participating in events at which French is spoken. Audio and video laboratories are available to augment classroom work.

ESML0215: French stage 9B (6 credits)
Semester 2
Credits: 6
Contact:
Topic: French
Level: Level 2
Assessment: EX45 CW40 OR15
Requisites: Co ESML0214
Aims & learning objectives:
A continuation of French Stage 9A
Content:
A continuation of French Stage 9A

ESML0216: French stage 4A (intermediate) (6 credits)
Semester 1
Credits: 6
Contact:
Topic: French
Level: Level 1
Assessment: CW100
Requisites: Co ESML0217
Aims & learning objectives:
A course to consolidate existing knowledge of French, to develop listening, reading, writing and speaking, and to reinforce grammar, in order to enable students to operate in a French-speaking environment.
Content:
This unit contains a variety of listening, reading, speaking and writing tasks covering appropriate grammatical structures, vocabulary and pronunciation relating to a selection of topics. Remedial work is carried out where necessary. Teaching materials will include reading passages from a variety of sources as well as topical and relevant audio and video material. Students are required to give short presentations, conduct brief interviews and write dialogues, reports and letters in French. Audio and video laboratories are available to augment classroom work.

ESML0217: French stage 4B (6 credits)
Semester 2
Credits: 6
Contact:
Topic: French
Level: Level 1
Assessment: CW100
Requisites: Co ESML0216
Aims & learning objectives:
A continuation of French Stage 4A
Content:
A continuation of French Stage 4A

ESML0220: French stage 6A (advanced intermediate) (6 credits)
Semester 1
Credits: 6
Contact:
Topic: French
Level: Level 1
Assessment: EX45 CW40 OR15
Requisites: Co ESML0221
Aims & learning objectives:
This course concentrates on the more advanced aspects of French with continued emphasis on practical application of language skills in a relevant context, in order to refine further the student's abilities.
Content:
This unit contains a variety of listening, reading, speaking and writing tasks covering appropriate grammatical structures and vocabulary. There is continued further development of the pattern of work outlined in French Stage 5A and 5B

ESML0221: French stage 6B (6 credits)
Semester 2
Credits: 6
Contact:
Topic: French
Level: Level 1
Assessment: EX45 CW40 OR15
Requisites: Co ESML0220
Aims & learning objectives:
A continuation of course French Stage 6A
Content:
A continuation of course French Stage 6A

ESML0222: German stage 1A (beginners) (6 credits)
Semester 1
Credits: 6
Contact:
Topic: German
Level: Level 1
Assessment: CW100
Requisites: Co ESML0223
Aims & learning objectives:
An introduction to everyday German, in order to enable the student to cope at a basic level in a German speaking environment, concentrating on oral/aural communication and reading.
Content:
Initial emphasis will be placed on speaking, listening and reading. As vocabulary is acquired more attention will be given to grammar. Writing tasks of a relevant and appropriate nature will be incorporated. Audio and video laboratories are available to augment classroom work

ESML0223: German stage 1B (6 credits)
Semester 2
Credits: 6
Contact:
Topic: German
Level: Level 1
Assessment: CW100
Requisites: Co ESML0222
Aims & learning objectives:
A continuation of German Stage 1A
Content:
A continuation of German Stage 1A

ESML0226: German stage 3A (advanced beginners) (6 credits)
Semester 1
Credits: 6
Contact:
Topic: German
Level: Level 1
Assessment: EX45 CW40 OR15
Requisites: Co ESML0227
Aims & learning objectives:
This course builds on the German covered in German Stage 2A and 2B in order to enhance the student's abilities in the four skill areas.
Content:
This unit contains a variety of listening, reading, speaking and writing tasks covering appropriate grammatical structures and vocabulary relating to a selection of topics. Teaching materials cover a wide range of cultural, political and social topics relating to German speaking countries and may include short works of literature. There will be discussion in the target language of topics derived from teaching materials, leading to small-scale research projects based on the same range of topics and incorporating the use of press reports and articles as well as audio and visual material. Students are encouraged to devote time and energy to developing linguistic proficiency outside the timetabled classes, for instance by additional reading and/or participating in informally arranged conversation groups and in events at which German is spoken. Audio and video laboratories are available to augment classroom work.

ESML0227: German stage 3B (6 credits)
Semester 2
Credits: 6
Contact:
Topic: German
Level: Level 1
Assessment: EX45 CW40 OR15
Requisites: Co ESML0226
Aims & learning objectives:
A continuation of German Stage 3A
Content:
A continuation of German Stage 3A

ESML0228: German stage 7A (advanced) (6 credits)
Semester 1
Credits: 6
Contact:
Topic: German
Level: Level 2
Assessment: CW100
Requisites: Co ESML0229
Aims & learning objectives:
A course to consolidate, refine and enhance previous advanced knowledge of German
Content:
This unit contains a variety of listening, reading, speaking and writing tasks covering appropriate grammatical structures and vocabulary. Teaching materials cover a wide range of cultural, political and social topics relating to German speaking countries and may include short works of literature. There will be discussion in the target language of topics derived from teaching materials, leading to small-scale research projects based on the same range of topics and incorporating the use of press reports and articles as well as audio and visual material. Students are encouraged to devote time and energy to developing linguistic proficiency outside the timetabled classes, for instance by additional reading and/or participating in informally arranged conversation groups and in events at which German is spoken. Audio and video laboratories are available to augment classroom work.

ESML0229: German stage 7B (6 credits)
Semester 2
Credits: 6
Contact:
Topic: German
Level: Level 2
Assessment: CW100
Requisites: Co ESML0228
Aims & learning objectives:
A continuation of German Stage 7A
Content:
A continuation of German Stage 7A

ESML0234: German stage 4A (intermediate) (6 credits)
Semester 1
Credits: 6
Contact:
Topic: German
Level: Level 1
Assessment: CW100
Requisites: Co ESML0235
Aims & learning objectives:
A course to consolidate existing knowledge of German, to develop listening, reading, writing and speaking, and to reinforce grammar, in order to enable students to operate in a German-speaking environment.
Content:
This unit contains a variety of listening, reading, speaking and writing tasks covering appropriate grammatical structures, vocabulary and pronunciation relating to a selection of topics. Remedial work is carried out where necessary. Teaching materials will include reading passages from a variety of sources as well as topical and relevant audio and video material. Students are required to give short presentations, conduct brief interviews and write dialogues, reports and letters in German. Audio and video laboratories are available to augment classroom work.

ESML0235: German stage 4B (6 credits)
Semester 2
Credits: 6
Contact:
Topic: German
Level: Level 1
Assessment: CW100
Requisites: Co ESML0234
Aims & learning objectives:
A continuation of German 4A
Content:
A continuation of German 4A

ESML0238: German stage 6A (advanced intermediate) (6 credits)
Semester 1
Credits: 6
Contact:
Topic: German
Level: Level 1
Assessment: EX45 CW40 OR15
Requisites: Co ESML0239
Aims & learning objectives:
This course concentrates on the more advanced aspects of German with continued emphasis on practical application of language skills in a relevant context, in order to refine further the student's abilities.
Content:
This unit contains a variety of listening, reading, speaking and writing tasks covering appropriate grammatical structures and vocabulary. There is continued further development of the pattern of work outlined in German Stage 5A and 5B

ESML0239: German stage 6B (6 credits)
Semester 2
Credits: 6
Contact:
Topic: German
Level: Level 1
Assessment: EX45 CW40 OR15
Requisites: Co ESML0238
Aims & learning objectives:
A continuation of German Stage 6A
Content:
A continuation of German Stage 6A

ESML0240: Italian stage 1A (beginners) (6 credits)
Semester 1
Credits: 6
Contact:
Topic: Italian
Level: Level 1
Assessment: CW100
Requisites: Co ESML0241
Aims & learning objectives:
An introduction to everyday Italian, in order to enable the student to cope at a basic level in an Italian speaking environment, concentrating on oral/aural communication and reading.
Content:
Initial emphasis will be placed on speaking, listening and reading. As vocabulary is acquired more attention will be given to grammar. Writing tasks of a relevant and appropriate nature will be incorporated. Audio and video laboratories are available to augment classroom work

ESML0241: Italian stage 1B (6 credits)
Semester 2
Credits: 6
Contact:
Topic: Italian
Level: Level 1
Assessment: CW100
Requisites: Co ESML0240
Aims & learning objectives:
A continuation of Italian Stage 1A
Content:
A continuation of Italian Stage 1A

ESML0244: Italian stage 3A (advanced beginners) (6 credits)
Semester 1
Credits: 6
Contact:
Topic: Italian
Level: Level 1
Assessment: EX45 CW40 OR15
Requisites: Co ESML0245
Aims & learning objectives:
This course builds on the Italian covered in Italian Stage 2A and 2B in order to enhance the students abilities in the four skill areas.
Content:
This unit contains a variety of listening, reading, speaking and writing tasks covering appropriate grammatical structures and vocabulary relating to a selection of topics. Teaching materials cover a wide range of cultural, political and social topics relating to Italy and may include short works of literature. There will be discussion in the target language of topics derived from teaching materials, leading to small-scale research projects based on the same range of topics and incorporating the use of press reports and articles as well as audio and visual material. Students are encouraged to devote time and energy to developing linguistic proficiency outside the timetabled classes, for instance by additional reading and/or participating in informally arranged conversation groups and in events at which Italian is spoken. Audio and video laboratories are available to augment classwork

ESML0245: Italian stage 3B (6 credits)
Semester 2
Credits: 6
Contact:
Topic: Italian
Level: Level 1
Assessment: EX45 CW40 OR15
Requisites: Co ESML0244
Amis & Learning Objectives: A continuation of Italian Stage 3A.
Content:
A continuation of Italian Stage 3A.

ESML0246: Japanese 1A (beginners) (6 credits)
Semester 1
Credits: 6
Contact:
Topic: Japanese
Level: Level 1
Assessment: CW100
Requisites: Co ESML0247
Aims & learning objectives:
An introduction to everyday Japanese, in order to enable the student to cope at a basic level in a Japanese speaking environment, concentrating on oral/aural communication and the reading and writing of the 2 phonetic Japanese scripts and selected kanji (Chinese characters)
Content:
Initial emphasis will be placed on speaking, listening and reading. As vocabulary is acquired more attention will be given to grammar. Writing tasks of a relevant and appropriate nature will be incorporated. Course material will be drawn from a variety of sources and will include audio-visual resources. Audio and video laboratories are available to augment classroom work

ESML0247: Japanese 1B (6 credits)
Semester 2
Credits: 6
Contact:
Topic: Japanese
Level: Level 1
Assessment: CW100
Requisites: Co ESML0246
Aims & learning objectives:
A continuation of Japanese Stage 1A
Content:
A continuation of Japanese Stage 1A

ESML0252: Spanish stage 1A (beginners) (6 credits)
Semester 1
Credits: 6
Contact:
Topic: Spanish
Level: Level 1
Assessment: CW100
Requisites: Co ESML0253
Aims & learning objectives:
An introduction to everyday Spanish, in order to enable the student to cope at a basic level in a Spanish speaking environment, concentrating on oral/aural communication and reading.
Content:
Initial emphasis will be placed on speaking, listening and reading. As vocabulary is acquired more attention will be given to grammar. Writing tasks of a relevant and appropriate nature will be incorporated. Audio and video laboratories are available to augment classroom work

ESML0253: Spanish stage 1B (6 credits)
Semester 2
Credits: 6
Contact:
Topic: Spanish
Level: Level 1
Assessment: CW100
Requisites: Co ESML0252
Aims & learning objectives:
A continuation of Spanish Stage 1A
Content:
A continuation of Spanish Stage 1A

ESML0258: Spanish stage 4A (intermediate) (6 credits)
Semester 1
Credits: 6
Contact:
Topic: Spanish
Level: Level 1
Assessment: CW100
Requisites: Co ESML0259
Aims & learning objectives:
A course to consolidate existing knowledge of Spanish, to develop listening, reading, writing and speaking, and to reinforce grammar, in order to enable students to operate in a Spanish-speaking environment.
Content:
This unit contains a variety of listening, reading, speaking and writing tasks covering appropriate grammatical structures, vocabulary and pronunciation relating to a selection of topics. Remedial work is carried out where necessary. Teaching materials will include reading passages from a variety of sources as well as topical and relevant audio and video material. Students are required to give short presentations, conduct brief interviews and write dialogues, reports and letters in Spanish. Audio and video laboratories are available to augment classroom work.

ESML0259: Spanish stage 4B (6 credits)
Semester 2
Credits: 6
Contact:
Topic: Spanish
Level: Level 1
Assessment: CW100
Requisites: Co ESML0258
Aims & learning objectives:
A continuation of Spanish Stage 4A
Content:
A continuation of Spanish Stage 4A

ESML0262: Spanish stage 6A (advanced intermediate) (6 credits)
Semester 1
Credits: 6
Contact:
Topic: Spanish
Level: Level 1
Assessment: EX45 CW40 OR15
Requisites: Co ESML0263
Aims & learning objectives:
This course concentrates on the more advanced aspects of Spanish with continued emphasis on practical application of language skills in a relevant context, in order to refine further the student's abilities.
Content:
This unit contains a variety of listening, reading, speaking and writing tasks covering appropriate grammatical structures and vocabulary. There is continued further development of the pattern of work outlined in Spanish Stage 5A and 5B

ESML0263: Spanish stage 6B (6 credits)
Semester 2
Credits: 6
Contact:
Topic: Spanish
Level: Level 1
Assessment: EX45 CW40 OR15
Requisites: Co ESML0262
Aims & learning objectives:
A continuation of Spanish Stage 6A
Content:
A continuation of Spanish Stage 6A

ESML0387: Business German option 1B
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX60 CW40
Requisites: Pre ESML0386
Aims & learning objectives:
A course to revive, develop and consolidate foreign language skills in order to enable students to operate effectively in the sphere of business and management.
Content:
Semester 2: Further development of linguistic proficiency using the same methods as in Semester 1. The second part of the course is concerned with more real world material such as economics magazines and TV news items, on which the study of many aspects of the foreign business environment will be based. Continued emphasis on overall fluency and grammatical accuracy.

MANG0001: Behaviour in organisations 1
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 1
Assessment: EX60 ES40
Requisites:
Aims & learning objectives:
To provide the conceptual and theoretical tools for enhancing the students' understanding of behaviour in organizations. Students will acquire the skills of analysing their own experiences in organizations and learning from these experiences. The course will promote an inquiring and critical attitude towards the human side of organizations and management.
Content:
Learning theories and organizational learning. Organizing and chaos. Formal and informal organizational structures. Bureaucracy. Technology and automation, information technology. Organizational culture and symbolism, socialization, meaning-creation. Leadership and management in organizations, leadership styles. Management functions. Group processes and group behaviour. Organizational environments and wider cultural influences on organizations.

MANG0002: Firm & the environment 1
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 1
Assessment: EX50 CW50
Requisites:
Aims & learning objectives:
To provide a framework within which students can appreciate the inter-relationships and interdependencies of core management disciplines. To explore the relationships between corporate decision making and the economic, political and legal environment. To introduce students to the fundamental legal concepts which affect businesses and the ways in which they function.. To investigate aspects of the European political and economic environment within which companies operate.
Content:
International competitiveness and industrial structure. Competitiveness, firm size and structure. the transport infrastructure and logistics management. Firm strategy and public and environmental policy. The European Single market and European firms. eastern Europe and the European firm. market penetration strategies and Europe. The legal aspects of the course will introduce concepts of different areas of law and the different types of action which may be brought. In the area of property and contracts, the formation of contracts, their validity, contents and enforceability will be examined. Performance of a contract and ways of resolving disputes are considered.

MANG0003: Introduction to research & investigation
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 1
Assessment: EX100
Requisites:
Aims & learning objectives:
To introduce the student to the methods and practice of research (broadly defined).
Content:
Collection and presentation of data; descriptive statistics; designing judgmental strategies; multiattribute assessment; analysis of qualitative data; analysing and presenting data in a spreadsheet.

MANG0004: Personal computing
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 1
Assessment: CW50 OT50
Requisites:
Aims & learning objectives:
In the past few years, personal computers have diffused rapidly and have had significant impact upon both teaching and learning in higher education. This module aims to acquaint students with the opportunities offered by personal computing as a support tool for their learning and development in relation to their academic studies and work placements.
Content:
The course is essentially practical in orientation and is based around a series of practical classes and workshops. The case studies and exercises used will develop competencies in: preparing reports, retrieving and analysing data, making presentations and communicating electronically.

MANG0005: Behaviour in organisations 2
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 1
Assessment: EX60 ES40
Requisites: Pre MANG0001
Aims & learning objectives:
To provide further conceptual and theoretical tools for enhancing the students' understanding of behaviour in organizations. Students will develop further the skills of analysing their own experiences in organizations and learning from these experiences.
Content:
Conflict and organizational politics. Emotion and emotional work. Sexuality and sexual harassment at the workplace. Stress at work. Problem construction and solving. An introduction to business ethics. Women at the workplace. Work and leisure; careers and life stages. Identity. Theories of mental personality. Psychoanalytic and other approaches to personality and personality development.

MANG0006: Business economics
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 1
Assessment: EX100
Requisites: Pre ECOI0044
Aims & learning objectives:
The course aims to develop students' understanding of the operation of markets, especially product markets, in theory and practice, and knowledge of the economic determinants of firms' competitive behaviour and performance within them. After taking this course, students will be able to understand the main features of competitive structure, firm behaviour and industrial performance and the inter-relationship between them, and apply this knowledge to investigate competitive conditions and behaviour in actual markets.
Content:
The market structure-conduct-performance model; market demand, the characteristics of goods and market segmentation; supply and changing cost conditions; industrial concentration, barriers to entry and exit and other aspects of structure; price behaviour under conditions of competition and cooperation; the determinants of performance and import of government competition policy.

MANG0007: Firm & the environment 2
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 1
Assessment: EX50 CW50
Requisites: Pre MANG0002
Aims & learning objectives:
To provide an opportunity to apply a framework within which students can appreciate the inter-relationships and interdependencies of core management disciplines. To explore the relationships between corporate decision making and the economic, political and legal environment. To extend students' knowledge of the fundamental legal concepts which affect businesses and the ways in which they function.. To continue the investigation of aspects of the European political and economic environment within which companies operate.
Content:
Eastern Europe and the European firm. Market penetration strategies and Europe. The study of the legal aspects of the course will continue with the examination of the area of tort law, with the main area of importance in this course is the tort of negligence and allied torts, but other relevant torts in the commercial field will be explained.

MANG0008: Introduction to the financial management of the organisation
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 1
Assessment: EX50 CW50
Requisites:
Aims & learning objectives:
Students will understand how accounting and financial management serves the purpose of developing and operating a business. They will acquire a broad knowledge of the different dimensions of financial management and accounting which they may study in depth in later years of the course and an introductory working knowledge of basic tools of financial analysis and practice.
Content:
(a) Financial planning and control; The financial dimension of businesses and other organisations; Investing in assets to yield a return - including the use of spreadsheets to calculate investment value and conduct sensitivity tests; Financing asset acquisition and an introduction to the cost of capital; Estimating costs for planned activities - fixed and variable costs; direct and indirect costs; basic elements of product cost; Preparation of cash budgets - including spreadsheet modelling and sensitivity tests; Annual budgeting, profit planning, liquidity control and longer term financial projections; Preparation of budgets and projected Profit and Loss Accounts and Balance Sheets; Controlling operations and cost control. (b) Reporting results in financial terms; Reporting performance and financial results to higher levels in the organisation - cost centre reports, profit centre reports, investment centre reports; Reporting the results to shareholders and other outside parties - preparation of final accounts, structure and interpretation of final accounts, underlying concepts (going concern, prudence, materiality, etc.); Measures of performance in the financial press - share prices, earnings per share, p/e ratios, assessing the quality of earnings announcements, etc.; Outline of the role of company law, the accounting profession and Accounting Standards in controlling the content of published information; Outline of complications created by going international/ global for investment analysis, financing the business, financial control and financial reporting.

MANG0009: Company finance
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX50 CW50
Requisites: Pre MANG0008
Aims & learning objectives:
Students will develop a knowledge of the different forms of finance that a company may use, how to compare their costs, and consider issues such a desirable capital structure, dividend policy, working capital management and approaches to acquisitions and mergers.
Content:
General principles of valuation for businesses and securities Source of finance and their costs Managing working capital and liquidity The corporate group cost of capital (WACC and the dividend growth, CAPM, and Arbitrage pricing models) The required rates of return for non-quoted companies, corporate divisions and individual projects The theory of capital structure and its relation to the cost of capital Dividend policy Short, intermediate and long term financing Mergers, acquisitions and corporate growth

MANG0010: Company law
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX60 ES40
Requisites:
Students should have already taken MANG0007 or MANG0078 Aims & learning objectives:
To equip students with a fundamental knowledge of the ways in which business enterprises function both internally and the impact on outsiders. Students will be able to consider the relevant factors in forming and operating different types of business. They will be able to read and understand company documents and identify their implications for directors, officers, shareholders and creditors..
Content:
The concept of agency in the context of commercial enterprises. Formation and functioning of businesses (partnerships and companies); liability of the business, directors or partners, and officers, internally and towards outsiders as well as the rights of owners of a business in different circumstances. Different regimes and rules governing operation; winding-up and insolvency, and the principles involved in controls on mergers and take-overs. The non-statutory controls imposed by the Stock Exchange and other bodies in a number of areas including in the area of insider dealing.

MANG0011: Cultures, work & society
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX80 ES20
Requisites:
Students should already have taken MANG005 or MANG0080 Aims & learning objectives:
To examine the social nature and contexts of behaviour in organisations. Drawing on personal experience and historical and comparative material, students will develop a knowledge and understanding of key areas of debate in human behaviour (eg nature-nurture; global-local; consensus-compliance; structure-agency)
Content:
Different overlapping and changing levels of culture are examined. Topics from: socialisation; work values; occupational choice; gender; occupation; corporate culture; national culture; globalisation; late-modernity.

MANG0012: Economics of strategy 1
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX60 ES40
Requisites: Pre MANG0006, Pre MANG0086
Aims & learning objectives:
This course continues the economic analysis of the firm and its environment begun in Business Economics . It focuses on the goals of the firm and the achievement of these through the creation of competitive advantage. In particular, it develops realistic and operationally significant theories of the firm and examines the determinants and effects of different aspects of price and non-price competition on firm performance. This course should enable the student to analyse interrelationships between these aspects of firms' tactical and strategic decisions, the characteristics of the competitive environment and firm performance with reference to empirical evidence, including particular cases.
Content:
Firm motivation, an analysis of corporate objectives and the market for corporate control. The process of decision making, goal formation, consensus and coalition. Dealing with organizational bureaucracy: the economist's perspective. Pricing decisions and entry deterrence. Non-price competition, the segmentation of markets and competitive positioning. Advertising, product differentiation, product proliferation, industry standards and non-price entry deterrence.

MANG0013: Employee relations 1
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX60 ES40
Requisites:
Students should already have taken MANG0005 or MANG0080 Aims & learning objectives:
The course has three aims: to give a broad overview of the major features of industrial relations in the UK; to explore the practical aspects of managing relations with employees in unionised and non-unionised organisations and to place industrial relations in its wider legal, economic, and political environments. Particular attention is paid employee relations in the workplace.
Content:
Employment Relationship: some concepts; perspectives on employee relations; changes in the management of the employment relationship; introduction to methods of resolving conflict; formal and informal bargaining in the workplace; employee participation and involvement; managers, supervisors and team leaders; employee representatives.

MANG0014: IT & its business context
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX60 CW25 OT15
Requisites: Pre MANG0004, Pre MANG0077
Students should already have taken MANG0004 or MANG0077 Aims & learning objectives:
In the last few years, the role of computers in business has changed radically: 1. Computers must now be seen in the context of Information Technology (IT) which, as well as computers, includes software, telecommunications, robotics and smart products. 2. IT is a strategic resource with the potential to affect competitive advantage. IT can transform industries and products; it can be a key element in determining the success of an organisation. 3. As a strategic resource, IT is no longer solely the concern of specialist computer departments. Managing IT well is a core competence and an important part of the task of general managers. 4. Organisations have created new roles for managers to be interfaces between IT and the business. They combine a general technical competence with knowledge of the business. This course addresses these issues and aims to provide students with the IT-related knowledge needed for careers as general or functional managers in an information-based age.
Content:
Following from the aims and learning objectives, the course is divided into two components: Part I considers why IT is strategic and how it can affect the competitive environment, taking stock of the opportunities and problems it provides. It consists of lectures, discussion and case studies. The objective is to investigate the business impact of IS. For example: in what ways are IS strategic? what business benefits can IS bring? how does IS transform management processes and organisational relationships? how can organisations evaluate IS? how should IS, which transform organisations and extend across functions, levels and locations, be implemented? Part II examines a variety of technologies available to the manager and examines how they have been used in organisations. A number of problem-oriented case studies will be given to project groups to examine and discuss. The results may then be presented in class, and are open for debate.

MANG0015: Market analysis
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX60 PR40
Requisites:
Students taking this unit should also have taken MANG0007 or MANG0081 Aims & learning objectives:
To show how quantitative and qualitative data collection and analyses help marketers to understand the nature and scope of their target markets. Students will be able plan and conduct their own market research programmes after this course.
Content:
This course is concerned with all aspects of obtaining sound data for the purposes of market analysis. The course starts by examining what support the marketing decision maker needs in market analysis. This is followed by how effective research can be planned and from this point a framework for forthcoming techniques is set. Secondary data location and analysis is covered as is qualitative research, but the main emphasis in techniques is towards quantitative means to measure and analyse markets.

MANG0016: Marketing 1
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX100
Requisites: Pre MANG0006, Ex MANG0073, Ex MANG0081
Students MUST take MANG0034 - Marketing 2 in year 3 semester 1 if they choose to study this unit. Aims & learning objectives:
This module aims to: Provide an introduction to the concepts, analyses and activities that comprise marketing management. To develop an understanding of the role and practice of marketing as a management function and organisational philosophy. To provide practice in assessing and solving marketing problems - reflecting the belief that the most effective learning comes from making marketing decisions. To lay the foundations for students wishing to take more specialised courses in marketing.
Content:
People often define marketing as advertising - a highly visible activity by which organisations try to "persuade" customers to purchase their products and services. Marketing is more than simply promotion. It involves identifying customer needs and wants and satisfying these needs with the right product, at the right price, available through the right distribution channels and promoted in ways that motivate and maximise purchases. These activities, together with an understanding of the firms external environment compose the principle activities of marketing management, and hence the subject of this module.

MANG0017: Operations management
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX50 CW50
Requisites:
Aims & learning objectives:
This course focuses on the processes involved in efficiently and effectively transforming inputs (i.e. labour, capital, materials, etc.) into useful outputs (i.e. goods and services) and how superior operations performance can be a contributor to corporate success. The course places approximately equal emphasis on service and manufacturing operations. Using material from a variety of industries and situations, the operational and strategic issues in managing the transformation process are explored. Topics covered include: an understanding of transformation processes and the inherent tradeoffs involved in process choice; capacity and aggregate planning; job design and workforce management; inventory management; quality management and control; supply chain management; world-class manufacturing; the inter-relationships between operations and other functional business areas as a means of achieving competitive advantage. At the conclusion of the course, the student will have a general appreciation of the operational function and the critical decisions in the area that can contribute to corporate success.
Content:
Process analysis; capacity planning; inventory management; production planning and control; quality management; supply management.

MANG0018: Processing, reporting & auditing financial information
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX50 ES50
Requisites: Pre MANG0008
Aims & learning objectives:
Students will gain a thorough grounding in processing financial data and preparing final accounts and a general understanding of what is involved in the audit of those accounts. This is an essential course for those contemplating a possible career in some dimension of accountancy.
Content:
The nature of financial data, purposes of financial information systems - manual and computerised systems Single and double entry recording systems and basic ledgers kept by businesses The accruals principle applied to the treatment of various types of costs, revenues, assets and liabilities The depreciation concept Trial balancing Preparation of Manufacturing Accounts, Profit and Loss Accounts, Balance Sheets, Funds and Cash Flow Statements Direct experience of using an established financial accounting package including inputting data, types of outputs available and the production of accounting statements Basic distinctions between the accounts of sole traders, partnerships and companies Preparation of final accounts from incomplete records Introduction to published accounts The purpose and basis of the audit process; the audit trail and types of audit evidence Developing audit evidence; consideration of the concepts of materiality and audit risk Evaluation of internal controls

MANG0019: Product costing & cost analysis
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX50 CW50
Requisites: Pre MANG0008
Aims & learning objectives:
Students will gain a thorough understanding and practical experience in constructing cost accounting statements and interpreting them. This is a fundamental course for anyone wishing to understand how costs are constructed for decision purposes
Content:
Review of the nature of product costs and process costs Costing terminology and identifying cost behaviour Historical based cost accounting systems for Job and Process costing (FIFO, LIFO and weighted average) Job and process costing - establishing standard cost systems Absorption and variable costing systems (including differential income effects) Overhead allocation including activity based allocations Costing for joint products, by-products, wastage, rework and scrap Cost-volume-profit analysis and relevant costs for decision purposes Relevant costs where resources are constrained: single and multiple constraints and mathematical programming solutions by graph and computer package Stock control models and the influence of JIT in supply and manufacturing Costing for JIT systems Costing for service industries Costing for major projects and project financial control

MANG0021: Action project
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: CW80 OR20
Requisites: Pre MANG0003, Co MANG0022
Aims & learning objectives:
The overall aim of the Action Project is to create the opportunity for students to tackle a practical problem in a business or organisation and to begin to apply some of the concepts, techniques and skills acquired during the taught programme.
Content:
Briefing on the Action Project aims; group formation; identification of suitable project; conduct of project; writing up findings and reporting back to peer group and group co-ordinator.

MANG0021: Action project
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: CW80 OR20
Requisites: Pre MANG0003, Co MANG0022
Aims & learning objectives:
The overall aim of the Action Project is to create the opportunity for students to tackle a practical problem in a business or organisation and to begin to apply some of the concepts, techniques and skills acquired during the taught programme.
Content:
Briefing on the Action Project aims; group formation; identification of suitable project; conduct of project; writing up findings and reporting back to peer group and group co-ordinator.

MANG0022: Portfolio project
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: CW80 OR20
Requisites: Pre MANG0003, Co MANG0021
Aims & learning objectives:
The overall aim of the Portfolio Project is to create the opportunity for students to research a management of business issue which is of interest to them. In particular it provides an extended opportunity to apply the concepts, techniques and skills dealt with during the unit Introduction to Research and Investigation.
Content:
Briefing on the Portfolio Project aims; group formation; identification of suitable project; conduct of project; writing up findings and reporting back to peer group and group co-ordinator.

MANG0022: Portfolio project
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: CW80 OR20
Requisites: Pre MANG0003, Co MANG0021
Aims & learning objectives:
The overall aim of the Portfolio Project is to create the opportunity for students to research a management of business issue which is of interest to them. In particular it provides an extended opportunity to apply the concepts, techniques and skills dealt with during the unit Introduction to Research and Investigation.
Content:
Briefing on the Portfolio Project aims; group formation; identification of suitable project; conduct of project; writing up findings and reporting back to peer group and group co-ordinator.

MANG0023: Business forecasting
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX60 CW40
Requisites: Pre MATH0095
Aims & learning objectives:
Almost all organisations use forecasts as necessary ingredients for decision making. The main objective of this course is to introduce students to the various forecasting techniques most commonly used in a business context and methods by which these techniques can be evaluated.
Content:
The primary focus is on univariate (time series) forecasting methods but the course will also deal with causal modelling and diffusion models for technological forecasting.

MANG0024: Commercial contracts
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX60 ES40
Requisites: Pre MANG0002, Pre MANG0007
Aims & learning objectives:
This course sets out to equip students to understand the realities of commercial contracts, and to be aware of the consequences of their terms. Students will be able to see, from genuine commercial standard contracts used, what the parties have undertaken to do, where there are any weaknesses in the agreement, how performance will be monitored, and what the implications will be on other ancillary contractual relationships. Other areas involve competition law, arbitration and intellectual property rules and practice.
Content:
Standard commercial contracts are examined to identify common standard terms and their relevance within each contracting party's business and outside it. The network of connecting contracts: associated contracts; independent contractors; banking, insurance, carriage; agency. Outside factors: competition law; intellectual property; arbitration and mediation.

MANG0025: Company accounts & reports
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX50 ES50
Requisites: Pre MANG0018
Aims & learning objectives:
This course will build upon financial accounting elements of previous courses to provide a knowledge of the special requirements for financial accounting for companies. The course will have a heavy emphasis on legal aspects of company reporting.
Content:
Forms of business organisation and types of companies Liabilities and responsibilities of directors, company secretaries, auditors and rules about insolvent trading The influence of law and standards on accounts. The concept of a true and fair view. The financial and legal distinction between loan and share capital The issue and redemption of shares and debentures Share capital and reserves: Capital and revenue reserves including the share premium account, capital redemption reserve, retained profits and payment of dividends. The form and content of published Profit and Loss Accounts , Balance Sheets and Cash Flow Statements Introduction to Group Accounts Treatment of taxation in published accounts: corporation tax, taxation of dividends, overseas tax and VAT accounts. Statute law, case law and their impact upon auditing

MANG0026: Economic analysis of financial decisions
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX50 ES50
Requisites: Pre MANG0008
Aims & learning objectives:
The course aims to demonstrate the close links between economic analysis on the one hand and management accounting and financial management on the other. It explores the use of optimisation approaches and considers , in depth, problems faced in investment decision-making. The course will include some computer based analysis of cost functions and investment modelling
Content:
The relationship of accounting cost concepts to those in economics (e.g. by-product analysis and marginal costs) Short-run and long-run cost functions and their relevance to choice of accounting models Cost behaviour analysis and the analysis of cost functions through regression analysis using appropriate software to generate scatter diagrams and graphical presentations Learning curves - theory and practice Optimisation, Opportunity costs and constraints Costs, prices, profits and different rates of return Productivity concepts and measurement The concept of economic value Financial appraisal of investments, including analysis of different appraisal techniques, risk analysis, expected values, decision-trees and simulations Different types of investment decisions Making investment decisions where benefits are difficult to quantify ( e.g intangibles, strategic investments, investments to retain options, investments associated with mergers and acquisitions) Errors often made in investment appraisal

MANG0027: Economics of strategy 2
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX60 ES40
Requisites: Pre MANG0012
Aims & learning objectives:
This course builds on Economics of Strategy 1 to develop a fuller understanding of the economic aspects of strategic decisions. Particular attention is given to the analysis of strategic choices concerning the boundaries of the firm - in terms of processes carried out, product scope and the geographical area of operations. The introduction of new products and processes through technical advance is examined as is the network of relationships with other firms.
Content:
Vertical integration and other types of relationships with buyers and suppliers. Diversification and conglomerate firms. Internal growth, acquisitions and mergers. Divestment and corporate refocusing. New product and process introduction. Joint ventures and strategic alliances. The internationalisation of business.

MANG0028: Emerging patterns of thought belief & action
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: ES50 CW50
Requisites:
Student should have already taken MANG0005, MANG0083 or MANG0070 Aims & learning objectives:
To invite students to understand, engage with and evaluate sources which suggest that the dominant paradigm or world view of Western civilisation is undergoing a major transformation, with associated changes in social values and practices.
Content:
A series of focused explorations looking at: notions of paradigms and change; the Gaia hypothesis; ecological thinking; economics and new economics; systems thinking; gender and diversity; spirituality; the self; and other associated issues.

MANG0029: Employee relations 2
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX60 ES40
Requisites: Pre MANG0005
Aims & learning objectives:
The course examines developments in the management of the Employment Relationship in the UK and makes comparisons with changes in other countries. Particular attention is given to changes in the institutions of Employee Relations.
Content:
Key changes in the Management of the Employment Relationship; Employers and Managers; Trade Unions; Industrial Conflict; Role of the State in Employee Relations; Legal intervention.

MANG0030: Financial control & performance evaluation
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX50 ES50
Requisites: Pre MANG0008
Aims & learning objectives:
Students will acquire a understanding of how organisations use financial information to evaluate managers, operatives and business segments
Content:
Different types of budgets and their purposes - feedback and feed-forward controls, flexible budgets, engineered, committed and discretionary costs Short-term and long-term budget construction - with computer simulations Analysis of variances from budgets, variance analysis in standard costing systems Essential concepts in responsibility accounting (controllable and non-controllable costs, etc. ) and performance evaluation of managers and operational units Behavioural issues in budgeting and control by variance analysis Centralised and decentralised organisations and financial control implications Strengths and weaknesses of aggregated financial measures of performance such as ROI and Residual Income and their impact on investment decision- making Shareholder Value Analysis for SBU / divisional performance goal setting and appraisal. Behavioural implications of divisional control and the internal control function in large divisionalised organisations Transfer pricing Operative and manager bonus / incentive schemes Development of balanced scorecards

MANG0031: Human resource management
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX60 ES40
Requisites: Pre MANG0005
Aims & learning objectives:
The course aims to give a broad overview of major features of human resource management. It examines issues from the contrasting perspectives of management, employees and public policy.
Content:
Perspectives on managing human resources. Human resource planning, recruitment and selection. Performance, pay and rewards. Control, discipline and dismissal.

MANG0032: IT & management
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX60 PR25 OT15
Requisites: Pre MANG0014
Aims & learning objectives:
In the last few years, the role of computers in business has changed radically: 1. Computers must now be seen in the context of Information Technology (IT) which, as well as computers, includes software, telecommunications, robotics and smart products. 2. IT is a strategic resource with the potential to affect competitive advantage. IT can transform industries and products; it can be a key element in determining the success or failure of an organization. 3. IT is no longer solely the concern of specialist computer departments. Managing IT well is a core competence and an important part of the task of general and functional managers. 4. Organisations have created new roles for managers to be interfaces between IT and the business. They combine a general technical competence with knowledge of the business. This course addresses these issues and aims to equip students with the IT-related management skills needed for careers as general or functional managers in an information-based age.
Content:
The course will develop skills and provide techniques relating to the role of general and functional managers in the management of IT. A business-oriented project will be used to develop management skills such as: managing IT-induced transformation, developing and aligning IT strategy, writing a business case, managing a project, managing benefits, developing an implementation plan and monitoring and auditing IT. The course will be based on cases, lectures, videos, guest speakers and a site visit.

MANG0033: Management ideas & dilemmas
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX80 ES20
Requisites: Pre MANG0001, Pre MANG0005
Aims & learning objectives:
To examine the emergence, popularity, application and dilemmas of central management ideas in shaping employee behaviour. Using control as a central theme of management, students will develop an understanding of the nature, context and behavioural consequences of management practices and be able to assess new ideas as they emerge.
Content:
Subjects from: dimensions & dilemmas of control; cooperation & conflict; technology; organisational structure & 'fit'; culture; human nature and motivation; contexts of adopting new ideas; management consultants.

MANG0034: Marketing 2
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX50 CW50
Requisites: Pre MANG0016
Aims & learning objectives:
1. To provide an understanding of the practice of marketing management 2. To gain an insight into the job of a marketing manager, and how marketing policy is implemented 3. To introduce students to a variety of issues facing marketing today
Content:
Marketing involves identifying and satisfying customer needs and wants. It is concerned with providing appropriate products, services, and sometimes ideas, at the right place and price, and promoted in ways which are motivating to current and future customers.. Marketing takes place in the context of the market, and of competition. The course is concerned with these activities, and includes: product policy and new product development advertising, selling, public relations and other forms of promotion marketing channels, with particular reference to wholesaling and retailing

MANG0035: Aspects of Japanese business
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX80 CW20
Requisites:
Students should already have taken MANG0005, MANG0083 or MANG0070 Aims & learning objectives:
The aim of this course is to critically examine and to provide an understanding of the nature of Japanese business organization. After completing the unit the student should be able to: identify the political, economic and social forces underpinning the emergence of Japanese business forms; understand the relationships between business, the state and trade unions in contemporary Japan; describe the human resource management practices characteristic of Japanese business; explain the internationalization of Japanese business; assess the transferability of Japanese business practice to alien environments.
Content:
The political economy of Japan; Japan's institutional environment; Japanese production systems; Organization and power in Japanese organizations; Cross-national transfer of Japanese production and management practices; Industrial relations in Japan and Japanese subsidiaries in the West.

MANG0035: Aspects of Japanese business
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX80 CW20
Requisites:
Aims & learning objectives:
The aim of this course is to critically examine and to provide an understanding of the nature of Japanese business organization. After completing the unit the student should be able to: identify the political, economic and social forces underpinning the emergence of Japanese business forms; understand the relationships between business, the state and trade unions in contemporary Japan; describe the human resource management practices characteristic of Japanese business; explain the internationalization of Japanese business; assess the transferability of Japanese business practice to alien environments.
Content:
The political economy of Japan; Japan's institutional environment; Japanese production systems; Organization and power in Japanese organizations; Cross-national transfer of Japanese production and management practices; Industrial relations in Japan and Japanese subsidiaries in the West.

MANG0036: Consumer research
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 ES40
Requisites: Pre MANG0016, Pre MANG0081, Pre MANG0073
Students must have taken a unit in Marketing: MANG0016, MANG0073 or MANG0081. Aims & learning objectives:
To develop a critical evaluation of the range of consumer research techniques. The student should be able appreciate the value of consumer research in marketing decision making, to be able to judge other person's research efforts, and be able to plan their own research programmes.
Content:
There is a strong emphasis on the rationales for conducting consumer research, for qualitative and quantitative methods and for particular techniques. There are no statistics on this course though an appreciation of statistical methods would be necessary to fully appreciate many of the themes developed. There are set readings for each lecture session. Students are expected to have prepared for each lecture by reading the set article, preparing notes and developing issues to debate in class. Each student will be expected to make a presentation and lead a debate in class at least once throughout the course.

MANG0037: Cost management
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX50 CW50
Requisites:
Students should already have taken MANG0008 or MANG0070 Aims & learning objectives:
To acquaint students with topical issues in cost management and cost reduction and provide practical insights. The course will be heavily based upon analyses of case studies which address these issues and develop students' abilities to critique the practical design of cost management and management accounting systems. This course links cost management directly to central strategic issues in managing the organisation.
Content:
Issues will be selected each year depending upon current issues of concern, but the following selection illustrates the nature of the material addressed: A review of activity based costing - where it has and has not strategic significance; The role accounting can play in quality control and removing waste; Implications of changing technology (e.g. flexible manufacturing) and changing organisational forms (e.g. inter-organisational supply chain relationships and other organisational networking) for cost accounting and management; Target costing and kaizen costing and its relationship to strategic analysis; The theory of constraints and continual improvement - implications for accounting; The nature of strategic management accounting; Whether there is a given best cost management system or whether there are appropriate contexts for the different recent developments; Implementation problems in introducing new cost management systems.

MANG0039: Employment law
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 OT40
Requisites:
Students should already have taken MANG0007 or MANG0078 Aims & learning objectives:
This unit is designed to give students a comprehensive and realistic insight into the legal framework of the employer/employee relationship and its impact on the parties directly involved in the wider social context.
Content:
Legal framework; principles of contract law; implied terms and duties in the contract of employment; safety at work; discrimination; duties of ex-employees; termination of contract of employment; redundancy; unfair dismissal.

MANG0040: European integration studies 1
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX50 ES50
Requisites:
IMML students must take MANG0059 in the next semester if they take this unit. They should already have taken MANG0006 or MANG0070. Aims & learning objectives:
To provide a basic grounding in the theory, politics and economics of European integration. Students will complete the course with a sound knowledge of European Union institutions and key economic policies.
Content:
Subjects covered will be: integration theory; EU political institutions, their legitimacy and their accountability; the EU decision-making process; EC finances and funds; the single market and Europe's lost competitiveness; competition policy; the EU, world trade and developing countries; regional policy; economic and monetary union; the enlargement of the EU, the EEA and Central and Eastern Europe. Lectures will be supplemented by case study discussions, tutorial sessions and a revision workshop.

MANG0041: Financial reporting & accounting standards
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX50 ES50
Requisites:
Students must have taken MANG0025, MANG0084 or equivalent in order to take this unit. Aims & learning objectives:
To introduce and discuss topical issues in corporate financial reporting and to ensure that students understand a number of key accounting standards, the reasons they were adopted in favour of possible alternative treatments and their implications for reporting and auditing practice.
Content:
The nature of standards and the standard setting process. Substance over form - FRS 4 and 5. The measurement of profit and capital maintenance: historical cost, current cost accounting and their relationship to economic profit. FRS3. Accounting for corporate groups - mergers and acquisitions, balance sheets and profit and loss accounts FRS2, 6 and 7. Goodwill and intangible assets SSAP22 plus current debate. Special problems: a selection from research and development (SSAP13), deferred tax (SSAP15), investment properties (SSAP19), leases and hire purchase (SSAP21), pensions (SSAP24), foreign currency (SSAP20). Note: The Accounting Standards mentioned are those currently applied at the time this syllabus was prepared. The course will keep up-to-date and address any subsequent standards issued on these topics.

MANG0042: Managing conflict
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 ES40
Requisites:
Students should have already taken MANG0005, MANG0083 or MANG0070. Aims & learning objectives:
The course examines the sources, characteristics and possible methods of managing conflict. Although the main focus will be on conflict within the employment relationship other arenas will also be examined. Particular attention will be given to negotiating and bargaining processes and conflict resolution processes involving third parties.
Content:
How and why does conflict emerge? Its forms, features and dynamics. Negotiating and Bargaining: concepts and models Preparing for Negotiations: practical issues Negotiating in practice: skills and techniques Models of practice: analysis and re-evaluation Negotiating in action: a practical case Third Party Intervention: background and issues Role of ACAS: institutions and practices Third Party intervention in practice: skills and techniques Third Parties: problems and issues

MANG0044: Organisational change & design
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX70 ES30
Requisites:
Students should have taken MANG0005, MANG0083 or MANG0070 Aims & learning objectives:
To provide students with a critical appreciation of the ideas of management gurus and how these set and guide the practice of change. This popular view is contrasted with more academic approaches and developed through a consideration of the (re)design of organisational forms suitable for an age that increasingly requires organizations to be global and innovative.
Content:
Topics will be drawn from the following: Fashions and fads - the history of ideas in change management; The role of business gurus in defining the practice of change; Orders and types of change - 1st, 2nd and reframing; The politics of organizational change; Organizational design and contingency theory; Organizational forms for the future - innovative and global.

MANG0045: Pay & rewards
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 CW40
Requisites:
Aims & learning objectives:
The course will enable the student to provide informed advice on the major aspects of pay, rewards and performance management, based on a sound understanding of the relevant theories and research evidence.
Content:
The role of reward strategy in an organisation. Economic, sociological and psychological theories which have influenced pay policies and practices. Concepts of reward structure, reward system and reward levels. Different perceptions of fairness which influence employees' satisfaction with their rewards. Government pay policies. Top people's pay. Objectives and limitations of job evaluation. Performance-related pay in principle and in practice. Knowledge-based, skill-based and competence-based rewards. Pay discrimination and equal pay. Employee benefits.

MANG0046: Product policy
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 CW40
Requisites: Pre MANG0034, Pre MANG0081, Pre MANG0070
Students must have taken one of the above units in order to study this unit. Aims & learning objectives:
Decisions about the product offering are central to a firm's marketing activities and ultimately its long term survival and economic prosperity. This course is concerned with theories, concepts and statistical techniques which can be used to analyse product policies. It starts by exploring subjects which relate to the various stages in the new product development (NPD) process and those which represent important issues that have emerged from research on NPD. The unit also recognising that NPD is an important managerial activity which interfaces with organisational, and brand and portfolio management activities. Case studies will explore and develop issues, including the application of various analytical models and techniques. In addition, coursework of a market research nature will involve the collection and analysis of quantitative data for the purposes of new product development decision-making. Themes include: the new product development process, exploring the what constitutes a successful new product development process, idea generating and screening decisions, concept testing and conjoint modelling and pre-test and test market models; issues in brand management including brand extensions as a launch strategy, the challenges posed by the rise of retailers' own-label products to manufacturers, portfolio management and the product deletion decision. Students should be able to: 1. Understand the importance and risks associated with the new product development process. 2. Critically evaluate the strengths and weaknesses associated with various empirical techniques used in the development of new products. 3. Develop a critical understanding of the theory, concepts and techniques of product policy.

MANG0047: Specialist IT management
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 OR40
Requisites:
Students should have taken MANG0014 or MANG0084. Aims & learning objectives:
In the last few years, the role of computers in business has changed radically: 1. Computers must now be seen in the context of Information Technology (IT) which, as well as computers, includes software, telecommunications, robotics and smart products. 2. IT is a strategic resource with the potential to affect competitive advantage. IT can transform industries and products; it can be a key element in determining the success or failure of an organization. 3. IT is no longer solely the concern of specialist computer departments. Managing IT well is a core competence and an important part of the task of general and functional managers. 4. Organisations have created new roles for managers to be interfaces between IT and the business. They combine a general technical competence with knowledge of the business. This course addresses these issues, particularly the last and aims to equip students with the IT-related management skills and knowledge needed for careers as general managers with a specialist information role.
Content:
The course will develop advanced and contemporary skills and knowledge relating to the management of IT. Topics will include: organisational learning and IS, controlling IS (security, maintenance), managing international IS, critical skills for IS professionals, quality issues, outsourcing, social and ethical issues. The course will be based on lectures, cases, student led seminars, visiting speakers.

MANG0048: Strategic analysis
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 ES40
Requisites: Pre MANG0016, Pre MANG0081, Pre MANG0073, Pre MANG0008, Pre MANG0069
Students must have taken MANG0034, MANG0070 or MANG0081 in order to study this unit. Aims & learning objectives:
An understanding of how strategists proactively shape the mission, objectives and strategies of their organisations within prevailing environmental and organisational constraints. Exposure to the theoretical insights and methodological approaches available to interpret and develop the competitive strategic position of the enterprise under complexity and uncertainty. Students are expected to contribute actively to class discussions and through careful preparation to become proficient at analysing specific situations using appropriate conceptual models allied to pragmatic, well-reasoned judgements with respect to the content of strategies and feasibility of implementation.
Content:
Topics include: the nature of corporate objectives and mission statements; analysing operating performance; the competitive market/industry environment; sources of rivalry; the value chain; assessing opportunities and threats; the development and application of core competencies; strategies in growth, maturity and in decline; managing ambiguity and complexity in the multi-firm (global) corporate environment. Case studies are used to explore and interpret issues.

MANG0049: Strategic marketing
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 ES40
Requisites: Pre MANG0016, Pre MANG0081, Pre MANG0073
Students must have taken one of the above units in order to study this unit. Aims & learning objectives:
An applied and thematic approach to forming and implementing effective marketing strategies for the business enterprise. The unit aims to help students interpret competitive market positions and explore how they can be sustained via product and market-oriented initiatives under conditions of environmental uncertainty and competitive threat. Students are expected to contribute actively to class discussions and through careful preparation become proficient at analysing specific situations using appropriate conceptual models allied to pragmatic, well-reasoned judgements.
Content:
Topics include: the meaning of marketing strategy and generic strategies (and the form of the latter); interfaces with shorter term marketing activities and longer term corporate strategies; external trend analysis; strategies through the life cycle; product/service innovation strategies; the strategic significance of brands and reputation; portfolio development; international strategies; issues in planning & implementing strategies. Case examples are used to explore and interpret issues.

MANG0050: Supply management
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 CW40
Requisites:
Students should have taken MANG0006 or MANG0070. Aims & learning objectives:
To develop in the student a broad understanding of the principles, concepts and approaches employed in the management of supply between industrial, commercial, and governmental organisations. To differentiate between operational and strategic approaches to management of supply To provide the student with a practical framework, built from research and experience, for understanding and analysing the development of supply management.
Content:
Introduction to supply management and the concepts of purchasing, procurement, supply, value flow and inter-firm relationships. Sourcing strategies and their implications for corporate strategies. Information systems in supply management. The concept of inter-organisational relationships. Supply chain management. Negotiation as a technique and management challenge. Lean principles and the concept of value flow. Outsourcing and the management of associated relationships. Government procurement: regulated markets. Logistics.

MANG0050: Supply management
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 CW40
Requisites:
Aims & learning objectives:
To develop in the student a broad understanding of the principles, concepts and approaches employed in the management of supply between industrial, commercial, and governmental organisations. To differentiate between operational and strategic approaches to management of supply To provide the student with a practical framework, built from research and experience, for understanding and analysing the development of supply management.
Content:
Introduction to supply management and the concepts of purchasing, procurement, supply, value flow and inter-firm relationships. Sourcing strategies and their implications for corporate strategies. Information systems in supply management. The concept of inter-organisational relationships. Supply chain management. Negotiation as a technique and management challenge. Lean principles and the concept of value flow. Outsourcing and the management of associated relationships Government procurement: regulated markets. Logistics.

MANG0051: Technology management
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 ES40
Requisites:
Students should have taken MANG0006 or MANG0070. Aims & learning objectives:
This unit is concerned with the management of technology and technological innovation from the firm's perspective. The aim is to introduce students to some of the managerial issues raised by the creation, adoption and diffusion of technology over time. The objectives are firstly, to provide an appreciation of the need to manage technology beyond any R & D department and secondly, to develop an understanding of alternative approaches to the acquisition, organisation and exploitation of technology and the factors influencing the relative success of these in different environments.
Content:
The course examines patterns of technological change, how technology affects competition, the impact of technology on individual firms' competitive advantage and the development of strategies and managerial methods to meet the challenges of the increasingly technology-driven environment. Topics include patterns of R & D, technical trajectories, sources of product and process innovation and the innovation environment. Developing a strategic approach to technology. Technology as a company asset and technical auditing. Technology forecasting and foresight. The relationship between technological change, industry structure and competitive advantage. Factors influencing success in technological innovation.. Different technology strategies and decisions concerning R&D, innovation and the commercialisation of new products/ processes. The protection of industrial and intellectual property. The diffusion of technology by contract, acquisition, imitation and manpower flows.

MANG0052: Group project 1
Semester 1
Credits: 10
Contact:
Topic:
Level: Level 3
Assessment: OR100
Requisites: Pre MANG0003, Co MANG0068
Aims & learning objectives:
The overall aim of the Group Project is to create an opportunity to apply the concepts, techniques and skills acquired during the taught programme in solving a practical business problem. Specific objectives are to: develop the skills of planning and executing an original investigation into a business problem in a team; allow an evaluation of the practical worth of management theories and the ability to further develop existing theories; integrate the various components of the degree programme and its specialisms; give the opportunity to practice and develop personal skills, especially those of analysis and synthesis; develop experience in handling group co-ordination and conflict; create the opportunity for business sponsors to challenge student ideas.
Content:
Briefing on academic and practical project aims; group formation; assignment of the projects; problem; definition; initial proposal; attendance at two Project Workshops; collection of empirical data; presentation of preliminary findings.

MANG0053: Advanced supply management
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 CW40
Requisites: Pre MANG0050
Aims & learning objectives:
To develop in the student an advanced understanding of the principles, concepts and approaches employed in the management of supply between industrial, commercial, and governmental organisations. To develop strategic and innovative approaches to management of supply To provide the student with a practical framework, built from research and experience, for understanding and analysing the development of strategic supply management.
Content:
Recap on previous study in Supply Management. Further exploration of sourcing strategies and their implications for corporate strategies. Strategies based upon information systems in supply management. The concept of inter-organisational relationships: trust, power and dependencies. Inter-organisational networking. Further depth on lean principles and the concept of value flow. Outsourcing and the management of relational competence. Government procurement: regulated markets. Logistics.

MANG0054: Business strategies & human resource management
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 CW40
Requisites:
Students should have taken MANG0005, MANG0070 or MANG0080. Aims & learning objectives:
The course will enable to the student to study Human Resource Management at an advanced level especially by critically examining contemporary theory and practice on the link between HRM and business strategies. The student will appreciate the effect of different types of HRM strategies on firm performance and locate these within the context of the role of the state and trade union organisation, membership and strategy. The student will be able to evaluate the strategies and policies of a wide variety of organisations in the public and private sectors and be equipped to debate these issues with senior HR and Personnel executives. The key topics covered include HRM: Rhetoric and Reality; Strategy, structure and devolution/decentralisation; the pursuit of flexibility in its various forms; the resource view of strategy; the distinction between high commitment management and the matching models of HRM; cost leadership models and the fragmentation of the firm; management style in the context of trade union behaviour and the role of the state in the UK and Europe. Examples will be taken from numerous countries.

MANG0055: Corporate governance & regulation
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX50 ES50
Requisites:
Students should have taken MANG0006 or MANG0070. Aims & learning objectives:
The course will acquaint students with a range of issues which come under the broad heading of governance and regulation of corporate practices. This will include the nature of the company and responsibilities of its principal officers, concerns about the state of corporate governance and the special regulatory issues associated with public control over utilities. The latter part of the course will recognise the growing phenomenon of globalisation and the need for regulation by international accounting standards
Content:
Issues selected each year from: The nature of the corporation and the position of shareholders, chairmen, CEOs, executive directors and non-executive directors; The nature of corporate governance and development of a conceptual framework for governance - including the relationship between governance and management; Examples of crises in governance; Governance as exercised in different countries; Whistle-blowing as a means of governance; The place of top executive compensation schemes in corporate governance considerations; Regulation of MNCs and cross-border transfer pricing; The regulation of public utilities; International standard setting in accounting and relationship to national standards; Financial reporting in the European Union; Comparative accounting practices in selected countries. Financial statement analysis using accounts of different countries

MANG0056: Corporate strategy in the European Union
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: CW75 OT25
Requisites: Pre MANG0027
Aims & learning objectives:
To explore corporate strategies in the context of the Single European Market. To develop an understanding of the European business environment.
Content:
The European business environment. European Union competition and industrial policy. The Single Market Act. Non-tariff barriers in the 'Single Market'. The competitive threat from the US, Japan and the Pacific Rim. Competitive pressures in global, mature and declining industries. Corporate strategies in the European Market. Industrialisation and integration; merger and acquisitions, joint ventures, alliance strategies. Market entry in the European Union; national and continental strategies. Foreign Direct Investment in the European Union. Corporate integration; rationalisation and centralisation, managing across borders.

MANG0057: Depth psychology of the consumer
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 ES40
Requisites:
Students should have taken MANG0005, MANG0070 or MANG0080. Aims & learning objectives:
To develop the students' understanding of contemporary consumerism and of the behaviour of different groups of consumers organizational by using the concepts and theories from depth psychology.
Content:
A summary of core concepts and theories of depth psychology. Material culture and interpretation. Classical social theories of consumption, status, fashion and display. The concept of consumer choice. Gifts and communicative qualities of material objects. Adolescence and life-style consumption. The Diderot effect. Hedonism and aesthetic orientation to consumption. The influences of social class. Postmodern theories of consumption and mass media. Advertising, images and simulacra.

MANG0058: Ecological thinking & action in management
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: CW50 ES50
Requisites:
Aims & learning objectives:
The aim of this unit is to explore global trends in social, political, environmental and ethical thinking and explore their implications for the role of business and the practice of management.
Content:
A series of focused explorations looking at: the changing context of business; globalisation, sustainable development; management of natural resources; system dynamics; ecological thinking and practices in management; developments in economic and social indicators; and other associated issues.

MANG0059: European integration studies 2
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: ES100
Requisites: Pre MANG0040
IMML students must take this unit if they have taken MANG0040 in the previous semester. Aims & learning objectives:
To provide an advanced knowledge of the impact of European policies on individuals, managements and work organisations in the European Union. Students will complete the course unit with a detailed knowledge of social, environmental and sectoral impacts of integration and how business interests can influence the EU decision-making process.
Content:
Subjects covered will be: Social and employment policy issues and the firm; EU environment policy and its impact upon business and communities; the harmonisation of company law; sectoral impacts of the single market and business strategies; lobbying the EU; transport policy and trans-European networks; implementation of EC law; the future direction of the EU. Lectures will be supplemented by case study discussions, a decision-making game, and tutorial sessions.

MANG0060: Europe & international business management
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 ES30 OT10
Requisites: Ex UNIV0007, Ex UNIV0008
Aims & learning objectives:
The course aims to introduce and assess the forms, motivations and processes of establishing and developing a multinational both in manufacturing and service industries. The students should be able: to understand and assess the options available to companies undergoing the internationalisation process; to analyse the different issues that arise and problems that need to be addressed when establishing and operating subsidiaries and affiliates across national boundaries; the impact of technology on the configuration and co-ordination of operations; the impact on host countries and the companies themselves; to identify and explain actual examples using theories introduced in the course.
Content:
The theories of international business, including internalisation, the eclectic theory and other theories of the multinational enterprise. The motivations for multinational operation - economic globalisation, competitive rivalry, resource or market seeking. The different forms of multinational operation, including contractual forms, joint ventures, etc. but with a particular focus on foreign direct investment. An assessment of the advantages and disadvantages of each. The strategic options for establishing a global network of subsidiaries. The course will require students to present industry/company-based case studies of foreign direct investment - from both inside and outside the European Union to illustrate and explain the theories of international business.

MANG0062: International business law
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 ES40
Requisites: Pre MANG0010, Pre MANG0024, Pre MANG0078
Students must have taken one of the above units in order to study this unit. Aims & learning objectives:
To put international trade contracts in their proper framework - in terms of the contracts and their enforcement and enforceability, and in the wider context of how businesses function in the international commercial field. Students will consider the different regimes which are relevant to making agreements in an international context, the problems which can arise and how to deal with them. Common contract terms and business relationships are examined so that students understand the principles which can facilitate or hinder international contracts.
Content:
Legal 'families' and their characteristics. Codified commercial law. Treaties and conventions. ICC and other private regimes. Principles of international trade and common principles of law on commercial agents; business forms; business liability. Commercial contracts; insurance; international banking; carriage; patents, arbitration, dispute resolution and enforcement. European Union law - competition, free movement.

MANG0063: International marketing
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX100
Requisites:
Students should have taken MANG0034 or MANG0070. Aims & learning objectives:
1. To develop an understanding of the concepts of international marketing, and of the international environment in which companies operate. 2. To develop an understanding of international marketing management and the process of strategy development
Content:
International marketing is usually defined as marketing goods or services across international boundaries, but it usually also includes elements of comparative marketing, and of co-ordination of marketing activities in several markets simultaneously, i.e. multi-domestic marketing. The course includes aspects of the international marketing environment, market selection, market entry methods and channels, international product policy decisions, promotion decisions, and a special focus on exporting.

MANG0064: Managing change
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 CW40
Requisites:
Students should have taken MANG0005, MANG0070 or MANG0080. Aims & learning objectives:
To introduce students to the theory and practice of change management in organizations ranging from diagnosis to intervention, and from thinking frameworks to frameworks for action.
Content:
Topics will be drawn from the following: Perspectives on the organizational situation; issue and problem diagnosis; Analysing the change situation - interpretation, explanation and feedback; the action learning framework; The basic tools and techniques of the change manager; The nature of the change process - models, theories and philosophies of change; Managing change - approaches and methods; Cultural change - concepts and practices; Leading change - strategies and styles.

MANG0065: Managing strategic issues
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 ES40
Requisites: Pre MANG0048
Aims & learning objectives:
An interdisciplinary and thematic approach to understanding how and why strategists seek to shape and resolve ambiguous and uncertain issues of strategic significance for the business enterprise. Students are expected to contribute actively to class discussions and through careful preparation to become proficient at analysing specific situations using appropriate theory allied to pragmatic, well-reasoned judgements.
Content:
Each running of the unit will comprise a finite number of major themes selected both for topicality and intellectual coherence. As currently envisaged, these would be selected from: issue/agenda emergence and management; approaches to strategic planning; stakeholders and corporate governance; ethics, social responsibility & environment; mergers, acquisitions and divestments; creative entrepreneurship; rejuvenation through technological innovation.

MANG0066: Strategic management
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 ES40
Requisites: Pre MANG0048
Aims & learning objectives:
To provide an understanding of how strategy is developed within organisations, of the processes involved, and of the structure and control systems exercised by organisations in its implementation. To examine how the concepts of strategy formulation and organisation development interplay. Students are expected to contribute to class discussion through the preparation of case studies in order to develop their understanding of complex situations.
Content:
Processes of company diagnosis and recognition; formulation of objectives and value systems; processes of agenda building, scenario development and strategic decision making; processes of organisational change in strategic direction.

MANG0067: Treasury management
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX50 ES50
Requisites:
Students should have taken MANG0008 or MANG0070. Aims & learning objectives:
To show how a large company manages sources of capital, relations with financial markets and shareholders and balances needs for finance with internationally spread organisations.
Content:
Issues selected from: Reviewing sources of finance and their costs Special sources of finance: convertibles and warrants and capital structure re-visited, leasing, export finance Balancing financing needs and sources Relations with external parties Bankruptcy prediction and avoidance Mergers and acquisitions International and domestic aspects of cash management Foreign exchange markets and foreign exchange rate risks Exposure management: hedging, swaps, options, interest rate risk, etc. Complications in investment appraisal in undertaking direct investment abroad International financing

MANG0068: Group project 2
Semester 2
Credits: 10
Contact:
Topic:
Level: Level 3
Assessment: RT70 OR30
Requisites: Co MANG0052
Aims & learning objectives:
The overall aim of the Group Project is to create an opportunity to apply the concepts, techniques and skills acquired during the taught programme in solving a practical business problem. Specific objectives are to: develop the skills of planning and executing an original investigation into a business problem in a team; allow an evaluation of the practical worth of management theories and the ability to further develop existing theories; integrate the various components of the degree programme and its specialisms; give the opportunity to practice and develop personal skills, especially those of analysis and synthesis; develop experience in handling group co-ordination and conflict; create the opportunity for business sponsors to challenge student ideas.
Content:
Evaluation of progress; further data collection; further examination of literature and relevant theory; presentation of interim findings at Project Workshop; further analysis of collected data; production of final written report and oral presentation of findings.

MANG0069: Introduction to accounting & finance
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 1
Assessment: EX50 CW50
Requisites:
Aims & learning objectives:
To provide students undertaking any type of degree study with an introductory knowledge of accounting and finance
Content:
The role of the accountant, corporate treasurer and financial controller Sources and uses of capital funds Understanding the construction and nature of the balance sheet and profit and loss account Principles underlying the requirements for the publication of company accounts Interpretation of accounts - published and internal, including financial ratio analysis Planning for profits, cash flow. Liquidity, capital expenditure and capital finance Developing the business plan and annual budgeting Estimating the cost of products, services and activities and their relationship to price. Analysis of costs and cost behaviour

MANG0072: Managing human resources
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 1
Assessment: EX100
Requisites:
Aims & learning objectives:
The course aims to give a broad overview of major features of human resource management. It examines issues from the contrasting perspectives of management, employees and public policy.
Content:
Perspectives on managing human resources. Human resource planning, recruitment and selection. Performance, pay and rewards. Control, discipline and dismissal.

MANG0073: Marketing
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 1
Assessment: EX100
Requisites: Ex MANG0016
Aims & learning objectives:
1. To provide an introduction to the concepts of Marketing. 2. To understand the principles and practice of marketing management. 3. To introduce students to a variety of environmental and other issues facing marketing today.
Content:
Marketing involves identifying and satisfying customer needs and wants. It is concerned with providing appropriate products, services, and sometimes ideas, at the right place and price, and promoted in ways which are motivating to current and future customers. Marketing activities take place in the context of the market, and of competition. The course is concerned with the above activities, and includes: consumer and buyer behaviour market segmentation, targetting and positioning market research product policy and new product development advertising and promotion marketing channels and pricing

MANG0074: Business information systems
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 1
Assessment: EX60 CW25 OT15
Requisites:
Aims & learning objectives:
Information Technology (IT) is rapidly achieving ubiquity in the workplace. All areas of the business community are achieving expansion in IT and investing huge sums of money in this area. Within this changing environment, several key trends have defined a new role for computers: a) New forms and applications of IT are constantly emerging. One of the most important developments in recent years has been the fact that IT has become a strategic resource with the potential to affect competitive advantage: it transforms industries and products and it can be a key element in determining the success or failure of an organisation. b) Computers have become decentralised within the workplace: PCs sit on managers desks, not in the IT Department. The strategic nature of technology also means that managing IT has become a core competence for modern organisations and is therefore an important part of the task of general and functional managers. Organisations have created new roles for managers who can act as interfaces between IT and the business, combining a general technical knowledge with a knowledge of business. This course addresses the above issues, and, in particular, aims to equip students with IT management skills for the workplace. By this, we refer to those attributes that they will need to make appropriate use of IT as general or functional managers in an information-based age.
Content:
Following on from the learning aims and objectives, the course is divided into two main parts: Part I considers why IT is strategic and how it can affect the competitive environment, taking stock of the opportunities and problems it provides. It consists of lectures, discussion, case studies. The objective is to investigate the business impact of IS. For example: in what ways are IS strategic? what business benefits can IS bring? how does IS transform management processes and organisational relationships? how can organisations evaluate IS? how should IS, which transform organisations and extend across functions, levels and locations, be implemented? Part II examines a variety of technologies available to the manager and examines how they have been used in organisations. A number of problem-oriented case studies will be given to project groups to examine and discuss. The results may then be presented in class, and are open for debate. In summary, the aim of the course is to provide the knowledge from which students should be able to make appropriate use of computing and information technology in forthcoming careers. This necessitates some technical understanding of computing, but not at an advanced level. This is a management course: not a technical computing course.

MANG0076: Business policy
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 1
Assessment: EX60 CW40
Requisites:
Aims & learning objectives:
To provide an appreciation of how organisations develop from their entrepreneurial beginnings through maturity and decline . To examine the interrelationship between concepts of policy and strategy formulation with the behavioural aspects of business To enable students to explore the theoretical notions behind corporate strategy Students are expected to develop skills of analysis and the ability to interpret complex business situations.
Content:
Business objectives , values and mission; industry and market analysis ; competitive strategy and advantage ; corporate life cycle; organisational structures and controls .

MANG0086: Industrial placement 1
Semester 1
Credits: 30
Contact:
Topic:
Level: Level 2
Assessment: CW100
Requisites: Pre MANG0005, Co MANG0087
Aims & learning objectives:
Introduction to the operations and management of organisations; performance of practical tasks within a managerial setting; develop relevant skills and knowledge; reflect on the personal learning objectives set and a critical evaluation of their achievement
Content:
Pre-placement preparation; minimum 22 weeks industrial placement adhering to the Code of Practice provided by the Placements Office; Placement Project I, Post-placement debriefing.

MANG0087: Industrial placement 2
Semester 2
Credits: 30
Contact:
Topic:
Level: Level 2
Assessment: CW100
Requisites: Co MANG0086
Aims & learning objectives:
Performance of specialist tasks within a managerial setting; develop and extend relevant skills and knowledge; relate management theory to experience gained and evaluate its value in a practical context; analyse a practical management problem
Content:
Pre-placement preparation; minimum 22 weeks industrial placement adhering to the Code of Practice provided by the Placements Office; Placement Project II, Post-placement debriefing.

MANG0092: Operations strategy
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX50 CW50
Requisites: Pre MANG0017
Aims & learning objectives:
This course follows on from the foundation in Operations Management (MANG0017). It will focus on Operations Strategy for both service and manufacturing organisations. The course will give the student an in-depth understanding of how operations can be used as a competitive weapon for the firm. The course will concentrate on manufacturing strategy, supply strategy, total quality management, lean production, world-class manufacturing, service quality models and the linkage of operations as part of the value adding process of the organisation. This option will build on the foundation course illustrating how the basic concepts can be formulated into an operations strategy focus. The course will be taught using a variety of approaches, including case studies, guest speakers and company visits (time permitting). At the conclusion of the course, the student will have an understanding of the major strategic decision making processes associated with the operations process.
Content:
Lean Production and Supply, World Class Manufacturing, Operations Strategy Profiling, Formulation and Implementation.

MANG0094: Economics of incentives
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX50 ES30 OT20
Requisites:
As well as the pre-requisite units (ECOI0044, MANG0006, or MANG0070), students must have undertaken a placement in order to study this unit. Aims & learning objectives:
This course uses economics to investigate the incentives generated by a range of contractual relationships. Students will link economic ideas to their own experiences in the workplace, and they will develop their written and oral communication skills.
Content:
Incentives are an integral part of many areas in economics, and so the topics examined in the course come from a range of economic disciplines. The course examines the application of principal-agent models to labour markets, capital markets, insurance markets, and corporate governance issues. Some of the topics addressed in the course will be: The use of pay systems to influence the behaviour of managerial and non-managerial employees; transaction costs as the reason for the existence of contracts; the importance of institutional structures as a response to transaction costs; and moral hazard and adverse selection.

MANG0095: The emotional organization
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 ES40
Requisites: Pre MANG0001, Pre MANG0005, Pre MANG0083
Students should have undertaken one of the above pre-requisite units. The pre-requisite units represent the minimum level of experience a student should have to undertake this unit. It is very desirable that you should have also undertaken more advanced units in the study of organizational behaviour, for example, MANG0011 or MANG0033. Aims & learning objectives:
Classic studies of organizations and management have stressed the rational, the cognitive; the predictable and the controlled. This course challenges these notions. It introduces some of the latest ideas on how feelings and emotions are central to the experience and organization of work. It explores the implication of this for management, decision making, organizational order and control.
Content:
The persisting myth of the rational organizational actor. Cognition and emotion; feelings and emotions. The historical and ideological context of emotion at work. Emotions and organizational culture. Emotion work and emotional labour. Pathologising emotion stress and anger. Commercialising feelings. Rethinking management.

MANG0096: Environmental management in organizations
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 CW40
Requisites: Pre MANG0005, Pre MANG0083
Students should have taken one of the above units. The pre-requisite units represent the minimum level of experience a student should have to undertake this unit. It is very desirable that you should have also undertaken more advanced units in the study of organizational behaviour, for example, MANG0011 or MANG0033. Aims & learning objectives:
Industry has been blamed for massive degradation to the natural environment. Is this fair? What are appropriate organizational responses? What are the realities behind the green rhetoric? This course will critically examine these, and related questions.
Content:
üThe risk society and industry. Ethics the new, green, ethical manager? Listening to stakeholders. Self-regulation and forcing compliance. Corporate exemplars. Resistance and backlash. Some futures.

MANG0097: Data analysis for marketing decisions
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: CW60 PR40
Requisites:
You must have taken one module from each of the following two groups: 1. Marketing, MANG0016 and MANG0034 or MANG0081 or MANG0072 2. Quantitative methods, MATH0095 or MANG0077 Aims and learning objectives To provide and introduction to some advanced techniques of quantitative data analysis which have a direct application to marketing and management research. To develop an understanding of such techniques, enabling students to appraise the quality of research findings as presented, for instance, by a marketing research agency. To provide practice in solving marketing and managerial problems. Content Managers typically find themselves in the position of information overload. It is no longer a case of needing to undertake a market research survey, more a case of how to analyse the data at hand. In view of the widespread availability of statistical packages and computers, we address two questions: 1. How to decide which statistical procedures are suitable for which purposes and, 2. How to interpret the subsequent results. We are not primarily concerned with the complex formulae that underlie the statistical methods, those calculations are left up to the computer. The applications will be based on data sets compiled from previous final year DBA4 projects and include the use of cluster analysis for purposes of market segmentation, principal components analysis for purposes of positioning etc.

MATH0001: Numbers
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Level 1
Assessment: EX100
Requisites:
Students must have A-level Mathematics, normally Grade B or better, or equivalent, in order to undertake this unit. Aims & learning objectives:
Aims: This course is designed to cater for first year students with widely different backgrounds in school and college mathematics. It will treat elementary matters of advanced arithmetic, such as summation formulae for progressions and will deal matters at a certain level of abstraction. This will include the principle of mathematical induction and some of its applications. Complex numbers will be introduced from first principles and developed to a level where special functions of a complex variable can be discussed at an elementary level. Objectives: Students will become proficient in the use of mathematical induction. Also they will have practice in real and complex arithmetic and be familiar with abstract ideas of primes, rationals, integers etc, and their algebraic properties. Calculations using classical circular and hyperbolic trigonometric functions and the complex roots of unity, and their uses, will also become familiar with practice.
Content:
Natural numbers, integers, rationals and reals. Highest common factor. Lowest common multiple. Prime numbers, statement of prime decomposition theorem, Euclid's Algorithm. Proofs by induction. Elementary formulae. Polynomials and their manipulation. Finite and infinite APs, GPs. Binomial polynomials for positive integer powers and binomial expansions for non-integer powers of a+b. Finite sums over multiple indices and changing the order of summation. Algebraic and geometric treatment of complex numbers, Argand diagrams, complex roots of unity. Trigonometric, log, exponential and hyperbolic functions of real and complex arguments. Gaussian integers. Trigonometric identities. Polynomial and transcendental equations.

MATH0002: Functions, differentiation & analytic geometry
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Level 1
Assessment: EX100
Requisites:
Students must have A-level Mathematics, normally Grade B or better, or equivalent, in order to undertake this unit. Aims & learning objectives:
Aims: To teach the basic notions of analytic geometry and the analysis of functions of a real variable at a level accessible to students with a good 'A' Level in Mathematics. At the end of the course the students should be ready to receive a first rigorous analysis course on these topics. Objectives: The students should be able to manipulate inequalities, classify conic sections, analyse and sketch functions defined by formulae, understand and formally manipulate the notions of limit, continuity and differentiability and compute derivatives and Taylor polynomials of functions.
Content:
Basic geometry of polygons, conic sections and other classical curves in the plane and their symmetry. Parametric representation of curves and surfaces. Review of differentiation: product, quotient, function-of-a-function rules and Leibniz rule. Maxima, minima, points of inflection, radius of curvature. Graphs as geometrical interpretation of functions. Monotone functions. Injectivity, surjectivity, bijectivity. Curve Sketching. Inequalities. Arithmetic manipulation and geometric representation of inequalities. Functions as formulae, natural domain, codomain, etc. Real valued functions and graphs. Introduction to MAPLE. Orders of magnitude. Taylor's Series and Taylor polynomials - the error term. Differentiation of Taylor series. Taylor Series for exp, log, sin etc. Orders of growth. Orthogonal and tangential curves.

MATH0003: Integration & differential equations
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Level 1
Assessment: EX100
Requisites:
Students must have A-level Mathematics, normally Grade B or better, or equivalent, in order to undertake this unit. Aims & learning objectives:
Aims: This module is designed to cover standard methods of differentiation and integration, and the methods of solving particular classes of differential equations, to guarantee a solid foundation for the applications of calculus to follow in later courses. Objective: The objective is to ensure familiarity with methods of differentiation and integration and their applications in problems involving differential equations. In particular, students will learn to recognise the classical functions whose derivatives and integrals must be committed to memory. In independent private study, students should be capable of identifying, and executing the detailed calculations specific to, particular classes of problems by the end of the course.
Content:
Review of basic formulae from trigonometry and algebra: polynomials, trigonometric and hyperbolic functions, exponentials and logs. Integration by substitution. Integration of rational functions by partial fractions. Integration of parameter dependent functions. Interchange of differentiation and integration for parameter dependent functions. Definite integrals as area and the fundamental theorem of calculus in practice. Particular definite integrals by ad hoc methods. Definite integrals by substitution and by parts. Volumes and surfaces of revolution. Definition of the order of a differential equation. Notion of linear independence of solutions. Statement of theorem on number of linear independent solutions. General Solutions. CF+PI. First order linear differential equations by integrating factors; general solution. Second order linear equations, characteristic equations; real and complex roots, general real solutions. Simple harmonic motion. Variation of constants for inhomogeneous equations. Reduction of order for higher order equations. Separable equations, homogeneous equations, exact equations. First and second order difference equations.

MATH0004: Sets & sequences
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Level 1
Assessment: EX100
Requisites: Pre MATH0115, Pre MATH0001
Aims & learning objectives:
Aims: To introduce the concepts of logic that underlie all mathematical reasoning and the notions of set theory that provide a rigorous foundation for mathematics. A real life example of all this machinery at work will be given in the form of an introduction to the analysis of sequences of real numbers. Objectives: By the end of this course, the students will be able to: understand and work with a formal definition; determine whether straight-forward definitions of particular mappings etc. are correct; determine whether straight-forward operations are, or are not, commutative; read and understand fairly complicated statements expressing, with the use of quantifiers, convergence properties of sequences.
Content:
Logic: Definitions and Axioms. Predicates and relations. The meaning of the logical operators Ù, Ú, ˜, ®, «, ", $. Logical equivalence and logical consequence. Direct and indirect methods of proof. Proof by contradiction. Counter-examples. Analysis of statements using Semantic Tableaux. Definitions of proof and deduction. Sets and Functions: Sets. Cardinality of finite sets. Countability and uncountability. Maxima and minima of finite sets, max (A) = - min (-A) etc. Unions, intersections, and/or statements and de Morgan's laws. Functions as rules, domain, co-domain, image. Injective (1-1), surjective (onto), bijective (1-1, onto) functions. Permutations as bijections. Functions and de Morgan's laws. Inverse functions and inverse images of sets. Relations and equivalence relations. Arithmetic mod p. Sequences: Definition and numerous examples. Convergent sequences and their manipulation. Arithmetic of limits.

MATH0005: Matrices & multivariate calculus
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Level 1
Assessment: EX100
Requisites: Pre MATH0002
Aims & learning objectives:
Aims: The course will provide students with an introduction to elementary matrix theory and an introduction to the calculus of functions from IRn ® IRm and to multivariate integrals. Objectives: At the end of the course the students will have a sound grasp of elementary matrix theory and multivariate calculus and will be proficient in performing such tasks as addition and multiplication of matrices, finding the determinant and inverse of a matrix, and finding the eigenvalues and associated eigenvectors of a matrix. The students will be familiar with calculation of partial derivatives, the chain rule and its applications and the definition of differentiability for vector valued functions and will be able to calculate the Jacobian matrix and determinant of such functions. The students will have a knowledge of the integration of real-valued functions from IR² ® IR and will be proficient in calculating multivariate integrals.
Content:
Lines and planes in two and three dimension. Linear dependence and independence. Simultaneous linear equations. Elementary row operations. Gaussian elimination. Gauss-Jordan form. Rank. Matrix transformations. Addition and multiplication. Inverse of a matrix. Determinants. Cramer's Rule. Similarity of matrices. Special matrices in geometry, orthogonal and symmetric matrices. Real and complex eigenvalues, eigenvectors. Relation between algebraic and geometric operators. Geometric effect of matrices and the geometric interpretation of determinants. Areas of triangles, volumes etc. Real valued functions on IR³. Partial derivatives and gradients; geometric interpretation. Maxima and Minima of functions of two variables. Saddle points. Discriminant. Change of coordinates. Chain rule. Vector valued functions and their derivatives. The Jacobian matrix and determinant, geometrical significance. Chain rule. Multivariate integrals. Change of order of integration. Change of variables formula.

MATH0006: Vectors & applications
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Level 1
Assessment: EX100
Requisites: Pre MATH0001, Pre MATH0002, Pre MATH0003
Aims & learning objectives:
Aims: To introduce the theory of three-dimensional vectors, their algebraic and geometrical properties and their use in mathematical modelling. To introduce Newtonian Mechanics by considering a selection of problems involving the dynamics of particles. Objectives: The student should be familiar with the laws of vector algebra and vector calculus and should be able to use them in the solution of 3D algebraic and geometrical problems. The student should also be able to use vectors to describe and model physical problems involving kinematics. The student should be able to apply Newton's second law of motion to derive governing equations of motion for problems of particle dynamics, and should also be able to analyse or solve such equations.
Content:
Vectors: Vector equations of lines and planes. Differentiation of vectors with respect to a scalar variable. Curvature. Cartesian, polar and spherical co-ordinates. Vector identities. Dot and cross product, vector and scalar triple product and determinants from geometric viewpoint. Basic concepts of mass, length and time, particles, force. Basic forces of nature: structure of matter, microscopic and macroscopic forces. Units and dimensions: dimensional analysis and scaling. Kinematics: the description of particle motion in terms of vectors, velocity and acceleration in polar coordinates, angular velocity, relative velocity. Newton's Laws: Kepler's laws, momentum, Newton's laws of motion, Newton's law of gravitation. Newtonian Mechanics of Particles: projectiles in a resisting medium, constrained particle motion; solution of the governing differential equations for a variety of problems. Central Forces: motion under a central force.

MATH0007: Analysis: Real numbers, real sequences & series
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Level 2
Assessment: EX100
Requisites: Pre MATH0006, Pre MATH0004, Pre MATH0005
Aims & learning objectives:
Aims: To reinforce and extend the ideas and methodology (begun in the first year unit MATH0004) of the analysis of the elementary theory of sequences and series of real numbers and to extend these ideas to sequences of functions. Objectives: By the end of the module, students should be able to read and understand statements expressing, with the use of quantifiers, convergence properties of sequences and series. They should also be capable of investigating particular examples to which the theorems can be applied and of understanding, and constructing for themselves, rigorous proofs within this context.
Content:
Suprema and Infima, Maxima and Minima. The Completeness Axiom. Sequences. Limits of sequences in epsilon-N notation. Bounded sequences and monotone sequences. Cauchy sequences. Algebra-of-limits theorems. Subsequences. Limit Superior and Limit Inferior. Bolzano-Weierstrass Theorem. Sequences of partial sums of series. Convergence of series. Conditional and absolute convergence. Tests for convergence of series; ratio, comparison, alternating and nth root tests. Power series and radius of convergence. Functions, Limits and Continuity. Continuity in terms of convergence of sequences. Algebra of limits. Convergence of sequences of functions, point-wise and uniform. Interchanging limits.

MATH0008: Algebra 1
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Level 2
Assessment: EX100
Requisites: Pre MATH0006, Pre MATH0004, Pre MATH0005
Aims & learning objectives:
Aims: To teach the definitions and basic theory of abstract linear algebra and, through exercises, to show its applicability. Objectives: Students should know, by heart, the main results in linear algebra and should be capable of independent detailed calculations with matrices which are involved in applications. Students should know how to execute the Gram-Schmidt process.
Content:
Real and complex vector spaces, subspaces, direct sums, linear independence, spanning sets, bases, dimension. The technical lemmas concerning linearly independent sequences. Dimension. Complementary subspaces. Projections. Linear transformations. Rank and nullity. The Dimension Theorem. Matrix representation, transition matrices, similar matrices. Examples. Inner products, induced norm, Cauchy-Schwarz inequality, triangle inequality, parallelogram law, orthogonality, Gram-Schmidt process.

MATH0009: Ordinary differential equations & control
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Level 2
Assessment: EX100
Requisites: Pre MATH0001, Pre MATH0002, Pre MATH0003, Pre MATH0005
Aims & learning objectives:
Aims: This course will provide standard results and techniques for solving systems of linear autonoumous differential equations. Based on this material an accessible introduction to the ideas of mathematical control theory is given. The emphasis here will be on stability and stabilization by feedback. Foundations will be laid for more advanced studies in nonlinear differential equations and control theory. Phase plane techniques will be introduced. Objectives: At the end of the course, students will be conversant with the basic ideas in the theory of linear autonomous differential equations and, in particular, will be able to employ Laplace transform and matrix methods for their solution. Moreover, they will be familiar with a number of elementary concepts from control theory (such as stability, stabilization by feedback, controllability) and will be able to solve simple control problems. The student will be able to carry out simple phase plane analysis.
Content:
Systems of linear ODEs: Normal form; solution of homogeneous systems; fundamental matrices and matrix exponentials; repeated eigenvalues; complex eigenvalues; stability; solution of non-homogeneous systems by variation of parameters. Laplace transforms: Definition; statement of conditions for existence; properties including transforms of the first and higher derivatives, damping, delay; inversion by partial fractions; solution of ODEs; convolution theorem; solution of integral equations. Linear control systems: Systems: state-space; impulse response and delta functions; transfer function; frequency-response. Stability: exponential stability; input-output stability; Routh-Hurwitz criterion. Feedback: state and output feedback; servomechanisms. Introduction to controllability and observability: definitions, rank conditions (without full proof) and examples. Nonlinear ODEs: Phase plane techniques, stability of equilibria.

MATH0010: Vector calculus & partial differential equations
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Level 2
Assessment: EX100
Requisites: Pre MATH0002, Pre MATH0003, Pre MATH0005, Pre MATH0006
Aims & learning objectives:
Aims: The first part of the course provides an introduction to vector calculus, an essential toolkit in most branches of applied mathematics. The second part introduces methods for the solution of linear partial differential equations. Objectives: At the end of this course students will be familiar with the fundamental results of vector calculus (Gauss' theorem, Stokes' theorem) and will be able to carry out line, surface and volume integrals in general curvilinear coordinates. They should be able to solve Laplace's equation, the wave equation and the diffusion equation in simple domains, using the techniques of separation of variables, Laplace transforms and, in the case of the wave equation, D'Alembert's solution.
Content:
Vector calculus: Work and energy; curves and surfaces in parametric form; line, surface and volume integrals. Grad, div and curl; divergence and Stokes' theorems; curvilinear coordinates; scalar potential. Fourier series: Formal introduction to Fourier series, statement of Fourier convergence theorem; Fourier cosine and sine series. Partial differential equations: classification of linear second order PDEs; Laplace's equation in 2-D, including solution by separation of variables in rectangular and circular domains; wave equation in one space dimension, including D'Alembert's solution; the diffusion equation in one space dimension, including solution by Laplace transform.

MATH0011: Analysis: Real-valued functions of a real variable
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Level 2
Assessment: EX100
Requisites: Pre MATH0007
Aims & learning objectives:
Aims: To give a thorough grounding, through rigorous theory and exercises, in the method and theory of modern calculus. To define the definite integral of certain bounded functions, and to explain why some functions do not have integrals. Objectives: Students should be able to quote, verbatim, and prove, without recourse to notes, the main theorems in the syllabus. They should also be capable, on their own initiative, of applying the analytical methodology to problems in other disciplines, as they arise. They should have a thorough understanding of the abstract notion of an integral, and a facility in the manipulation of integrals.
Content:
Weierstrass's theorem on continuous functions attaining suprema and infima on compact interval. Intermediate Value Theorem. Functions and Derivatives. Algebra of derivatives. Leibniz Rule and compositions. Derivatives of inverse functions. Rolle's Theorem and Mean Value Theorem. Cauchy's Mean Value Theorem. L'Hôpital's Rule. Monotonic functions. Maxima/Minima. Uniform Convergence. Cauchy's Criterion for Uniform Convergence. Weierstrass M-test for series. Power series. Differentiation of power series. Reimann integration up to the Fundamental Theorem of Calculus for the integral of a Riemann-integrable derivative of a function. Integration of power series. Interchanging integrals and limits. Improper integrals.

MATH0012: Algebra 2
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Level 2
Assessment: EX100
Requisites: Pre MATH0008
Aims & learning objectives:
Aims: In linear algebra the aim is to take the abstract theory to a new level, different from the elementary treatment in MATH0008. Groups will be introduced and the most basic consequences of the axioms derived. Objectives: Students should be capable of finding eigenvalues and minimum polynomials of matrices and of deciding the correct Jordan Normal Form. Students should know how to diagonalise matrices, while supplying supporting theoretical justification of the method. In group theory they should be able to write down the group axioms and the main theorems which are consequences of the axioms.
Content:
Linear Algebra: Properties of determinants. Eigenvalues and eigenvectors. Geometric and algebraic multiplicity. Diagonalisability. Characteristic polynomials. Cayley-Hamilton Theorem. Minimum polynomial and primary decomposition theorem. Statement of and motivation for the Jordan Canonical Form. Examples. Orthogonal and unitary transformations. Symmetric and Hermitian linear transformations and their diagonalisability. Quadratic forms. Norm of a linear transformation. Examples. Group Theory: Group axioms and examples. Deductions from the axioms (e.g. uniqueness of identity, cancellation). Subgroups. Cyclic groups and their properties. Homomorphisms, isomorphisms, automorphisms. Cosets and Lagrange's Theorem. Normal subgroups and Quotient groups. Fundamental Homomorphism Theorem.

MATH0013: Mathematical modelling & fluids
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Level 2
Assessment: EX75 CW25
Requisites: Pre MATH0009, Pre MATH0010
Aims & learning objectives:
Aims: To study, by example, how mathematical models are hypothesised, modified and elaborated. To study a classic example of mathematical modelling, that of fluid mechanics. Objectives: At the end of the course the student should be able to· construct an initial mathematical model for a real world process and assess this model critically· suggest alterations or elaborations of proposed model in light of discrepancies between model predictions and observed data or failures of the model to exhibit correct qualitative behaviour. The student will also be familiar with the equations of motion of an ideal inviscid fluid (Eulers equations, Bernoullis equation) and how to solve these in certain idealised flow situations.
Content:
Modelling and the scientific method: Objectives of mathematical modelling; the iterative nature of modelling; falsifiability and predictive accuracy; Occam's razor, paradigms and model components; self-consistency and structural stability. The three stages of modelling: (1) Model formulation, including the use of empirical information, (2) model fitting, and (3) model validation. Possible case studies and projects include: The dynamics of measles epidemics; population growth in the USA; prey-predator and competition models; modelling water pollution; assessment of heat loss prevention by double glazing; forest management. Fluids: Lagrangian and Eulerian specifications, material time derivative, acceleration, angular velocity. Mass conservation, incompressible flow, simple examples of potential flow.

MATH0014: Numerical analysis
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Level 2
Assessment: EX75 CW25
Requisites: Pre MATH0007, Pre MATH0008
Aims & learning objectives:
Aims: To teach elementary MATLAB programming. To teach those aspects of Numerical Analysis which are most relevant to a general mathematical training, and to lay the foundations for the more advanced courses in later years. Objectives: Students should have some facility with MATLAB programming. They should know simple methods for the approximation of functions and integrals, solution of initial and boundary value problems for ordinary differential equations and the solution of linear systems. They should also know basic methods for the analysis of the errors made by these methods, and be aware of some of the relevant practical issues involved in their implementation.
Content:
MATLAB Programming: handling matrices; M-files; graphics. Concepts of Convergence and Accuracy: Order of convergence, extrapolation and error estimation. Approximation of Functions: Polynomial Interpolation, error term. Quadrature and Numerical Differentiation: Newton-Cotes formulae. Gauss quadrature and numerical differentiation by method of undetermined coefficients. Composite formulae. Error terms. Numerical Solution of ODEs: Euler, Backward Euler, Trapezoidal and explicit Runge-Kutta methods. Stability. Consistency and convergence for one step methods. Error estimation and control. Shooting technique. Linear Algebraic Equations: Gaussian elimination, LU decomposition, pivoting, Matrix norms, conditioning, backward error analysis, iterative refinement. Direct methods for 2 point Boundary Value Problems.

MATH0015: Programming
Semester 1
Credits: 6
Contact:
Topic: Computing
Level: Level 1
Assessment: EX75 CW25
Requisites:
Aims & learning objectives:
Aims: To introduce functional programming while drawing out the similarities with abstract mathematics. To show that the mathematical thought process is a natural one for programming. To provide a gentle introduction to practical functional programming. Objectives: Students should be able to write simple functions, to understand the nature of types and to use data types appropriately. They should also appreciate the value and use of recursion.
Content:
Expressions, choice, scope and extent, functions, recursion, recursive datatypes, higher-order objects.

MATH0016: Information management 1
Semester 1
Credits: 6
Contact:
Topic: Computing
Level: Level 1
Assessment: EX50 CW50
Requisites: Ex MATH0126
Aims & learning objectives:
Aims: To introduce students to the use of a workstation, to word-processing, spreadsheets and relational data bases, and to the basic ideas of computing, and to the range of applications and misapplications of computers in science. To give students some experience of working in small groups. Objectives: Students should have a practical ability to use contemporary information management facilities. They should be able to write a good report, and they should have the confidence and the language to enable criticism of the use of computers in science.
Content:
Introduction: hardware, software, networking. Use of the workstation. Social issues. The relationship between computing and science. Computers as calculators, as simulating engines, and as new realities. Mathematical and computational models. The difficulty of validating or criticising computational models. Example of fluid flow, and the numerical wind tunnel. Experiment and decision making using computational models. Artificial intelligence, expert systems, neural nets, artificial evolution. The use and abuse of computers in science. Word processing, HTML, Scientific journalism and scientific reports. The goals of succinctness and clarity. Spreadsheets, organizing, exploring and presenting numerical data. Introduction to Statistics. Mean, standard deviation, histograms, the idea of probability density functions.

MATH0017: Principles of computer operation & architecture
Semester 1
Credits: 6
Contact:
Topic: Computing
Level: Level 1
Assessment: EX100
Requisites:
Aims & learning objectives:
Aims: To introduce students to the structure, basic design, operation and programming of conventional, von Neumann computers at the machine level. Alternative approaches to machine design will also be examined so that some recent machine architectures can be introduced. In particular the course will develop to explore the relationships between what actually happens at the machine level and important ideas about, for example, aspects of high-level programming and data structures, that students encounter on parallel courses. Objectives: Familiarity with the von Neumann model, the nature and function of each of the main components and general principles of operation of the machines, including input and output transfers and basic numeric manipulations. Understanding of the characteristics of logic elements; the ability to manipulate/simplify Boolean functions; practical experience of simple combinatorial and sequential systems of logic gates; and a perception of the links between logic systems and elements of computer processors and store. Understanding of the role and function of an assembler and practical experience of reading and making simple changes to small, low-level programmes. Understanding of the test running and debugging of programmes.
Content:
Basic principles of computer operation: Brief historical introduction to computing machines. Binary basis of computer operation and binary numeration systems. Von Neumann computers and the structure, nature and relationship of their major elements. Principles of operation of digital computers; use of registers and the instruction cycle; simple addressing concepts; programming. Integers and floating point numbers. Input and output; basic principles and mechanisms of data transfer; programmed and data channel transfers; device status; interrupt programming; buffering; devices. Introduction to digital logic and low-level programming: Boolean algebra and behaviour of combinatorial and sequential logic circuits (supported by practical work). Logic circuits as building blocks for computer hardware. The nature and general characteristics of assemblers; a gentle introduction to simple assembler programmes to illustrate the major features and structures of low-level programmes. Running assembler programmes (supported by practical work).

MATH0018: Databases/performance analysis
Semester 1
Credits: 6
Contact:
Topic: Computing
Level: Level 2
Assessment: EX75 CW25
Requisites: Pre MATH0023
Aims & learning objectives:
Aims: To present an introductory account of the theory and practice of databases. To convey an understanding of the wide variety of techniques available for assessing the performance of programs and of computer-based systems. Objectives: To demonstrate understanding of the basic structure of relational database systems and to be able to make elementary queries. Students should be able to use basic benchmark programs, and the standard profiling tools. They should be aware of the limitations of such techniques, and of the wide variety of possible approaches to measuring, assessing, comparing and planning the performance of computer-based systems.
Content:
Databases: Network and relational models. Completeness of relational models, Codd's classification of canonical forms: first, second, third, and fourth normal forms. Keys, join, query languages (SQL, Query-by-example). Object databases. Performance Analysis: Benchmarking, including standard benchmarks such as Whetstone, Dhrystone. Benchmarking suites; SPECMarks. Contrast performance and test suites. Determining where time goes; profiling, sampling, emulating. Use of memory. Effects of architecture. Comparison of hardware and software monitoring. Program Comparison, Pitfalls, Performance Engineering, Queueing Theory, Case Studies.

MATH0019: Foundations
Semester 1
Credits: 6
Contact:
Topic: Computing
Level: Level 2
Assessment: EX75 CW25
Requisites: Pre MATH0004, Pre MATH0023
Aims & learning objectives:
Aims: To give the student an appreciation of the foundations of programming by considering functions as units of computation l-calculus and combinatory logic. To raise the issue of correctness and to develop a critical attitude toward computing in general and logic programming in particular. To illustrate how the various mathematical principles discussed in this Unit are translated in practical programming languages. Objectives: Students should be able to perform reductions in two reduction systems, and to prove elementary theorms in and about these calculi. To understand enough logic so that correct logic programming is possible. To be able to apply the theories of mathematical logic to the development of programming languages, to contrast pure rewriting with environment based interpretation operating over different domains (eg. values and types). To be able to read, understand and write programs in EuLisp.
Content:
String rewriting systems, Church-Rosser ideas, Zermelo Fraenkel set theory, types and sets, operations on types, examples in C and ML, functions as graphs, and functions as rules or processes; pure lambda calculus, reduction, Church Rosser again, ordered pairs, numerals in lambda calculus, Lisp; Scott domain theory; Logic, Logical validity, logical consequence, Conjunctive normal form, clausal form, semantic tableau methods, Prolog, resolution and unification.

MATH0020: Computability & decidability
Semester 1
Credits: 6
Contact:
Topic: Computing
Level: Level 2
Assessment: EX100
Requisites: Pre MATH0004, Pre MATH0023
Aims & learning objectives:
Aims: To extend previous coverage of finite-state machines and Turing machines. To explore the limitations of Turing computability. Objectives: Students should appreciate the limitations of finite-state machines, and the availability of different possible standard formalisations of Turing machines. Students should understand what can and cannot be computed using Turing machines, and the rudiments of computational complexity theory.
Content:
Finite-State Machines: Revision of the basic properties of finite-state machines. Nondeterministic finite-state machines. What can and cannot be computed using finite-state machines. Turing Machines: Revision of Turing Machines. Connecting standard Turing Machines together. Introduction to Church's Thesis. Church's Thesis: Church's Thesis and the equivalence of different models of Turing machine. Church's Thesis (cont): Church's thesis and the equivalence of different models of computation - recursive functions, primitive and general recursion.Universal Turing Machines: Universal Turing Machines and limitations of Turing computability. Undecidability, the Halting Problem, reduction of one unsolvable problem to another. Computational Complexity: Philosophy of computational complexity, upper and lower time-bounded computations, complexity classes P and NP, NP-completeness.

MATH0021: Computer graphics
Semester 1
Credits: 6
Contact:
Topic: Computing
Level: Level 2
Assessment: EX75 CW25
Requisites:
Aims & learning objectives:
Aims: To provide an introduction to the techniques of representing, rendering, and displaying computer graphics, with assessed coursework. Objectives: Students will be able to distinguish modelling from rendering. They will be able to describe the relevant components of Euclidean geometry and their relationships to matrix algebra formulations. Students will know the difference between solid and surface modelling and be able to describe typical computer representations of each. Rendering for raster displays will be explainable in detail, including lighting models and a variety visual effects and defects. Students will be expected to describe the sampling problem and solutions for static pictures.
Content:
Background: Basic mechanisms, concepts and techniques for creating and displaying line drawings. Output devices, input devices. Packages. Coordinate systems, Euclidean geometry and transformations. Modelling: Mesh models and their representation. Constructive solid geometry and its representation. Specialised models. Rendering: Raster images; illumination models; meshes and hidden surface removal; scan-line rendering. Constructive Solid Geometry; ray-casting; visual effects and defects. Ordering dither; resolution; aliasing; colour. Students should have the ability to program in order to undertake this unit.

MATH0022: Formal program development
Semester 1
Credits: 6
Contact:
Topic: Computing
Level: Level 2
Assessment: EX100
Requisites: Pre MATH0023
Aims & learning objectives:
Aims: To convey to students the idea that programming can be presented as a systematic process of calculation with mathematically secure foundations. Objectives: Students should be able to develop modest programs systematically with a complete understanding of the mathematical foundations of the method advocated, and should understand the relationship between formal and informal methods for practical use.
Content:
Programs, specifications, code, refinement. Types, invariants and feasibility. Assignment and sequencing. Control structures: alternatives and iteration. Introduction to data refinement. Dijkstra's weakest precondition and language semantics in terms of it. Basic Theorems for the Alternative and Iterative Constructs and their relevance to program development. Use of the weakest precondition as a basis for the refinement calculus. Proving refinement laws from first principles; deriving one refinement law from another.

MATH0023: C Programming
Semester 2
Credits: 6
Contact:
Topic: Computing
Level: Level 1
Assessment: EX75 CW25
Requisites: Pre MATH0015, Pre MATH0126
Aims & learning objectives:
Aims: To ensure students appreciate the concept of an algorithm as an effective procedure. To introduce criteria by which algorithms may be chosen, and to demonstrate non-obvious algorithms. To provide practical skills at reading and writing programs in ISO Standard C. Objectives: Students should be able to determine the time and space complexity of short algorithms, and know 3 sorting algorithms and 2 searching algorithms. Students should be able to design, construct and test short programs in C, using standard libraries as appropriate. They should be able to read and comprehend the behaviour of programs written by others.
Content:
Algorithms: Introduction: Definition of an algorithm and characteristics of them. Basic Complexity: The efficiency of different algorithmic solutions. Best, average and worst case complexity in time and space. Fundamental Algorithms: Sorting. Searching. Space-time trade-offs. Graphs. Dijkstra's shortest path. C Programming: Introduction: C as a simplified programming language; ISO Standards. Basic Concepts: Functions, variables, weak typing. Statements and expressions. Data Structuring: Enumeration, struct and arrays. Pointers and construction of complex structures. The preprocessor: #include, #if and #define Programming: Input-output. Use of standard libraries. Multiple file programs. User interfaces. Professionalism: Coding standards, defensive programming, documentation, testing. Ethics.

MATH0024: Information management 2
Semester 2
Credits: 6
Contact:
Topic: Computing
Level: Level 1
Assessment: EX50 CW25 OT25
Requisites: Pre MATH0016, Pre MATH0126
Aims & learning objectives:
Aims: To introduce students to the use of a workstation, to wordprocessing, spreadsheets and relational databases, and to the basic ideas of computing, and to the range of applications and misapplications of computers in science. To give students some experience of working in small groups. Objectives: Students should have a practical ability to use contemporary information management facilities. They should be able to write a good report, and they should have the confidence and the language to enable criticism of the use of computers in science.
Content:
Normal and Poisson distributions. A simple introduction to confidence intervals and hypothesis testing. Elementary tools for dealing with non-normal data. An introduction to correlation. Computational experiments. Databases. Notations of set theory. Data types and structures. Hierarchical, network, and relational databases. Some natural operations on relations: union, projection, selection, Cartesian product, set difference. Design of relational databases. Access as an example of a database system. The integrated use of word processing, spreadsheets and relational databases.

MATH0025: Machine architectures, assemblers & low-level programming
Semester 2
Credits: 6
Contact:
Topic: Computing
Level: Level 1
Assessment: EX75 CW25
Requisites: Pre MATH0017
Aims & learning objectives:
Aims: To introduce students to the structure, basic design, operation and programming of conventional, von Neumann computers at the machine level. Alternative approaches to machine design will also be examined so that some recent machine architectures can be introduced. In particular the course will develop to explore the relationships between what actually happens at the machine level and important ideas about, for example, aspects of high-level programming and data structures, that students encounter on parallel courses. Objectives: Development of a critical awareness that what happens at machine level is strongly related to the forms and conventions developed at higher levels of programming. Reinforcement of structured programming by practical development of low-level programming skills that can be related to high-level practice. Awareness of the potential advantages and disadvantages of different architectures; appreciation of the importance of the synergistic relationship between hardware and system software, e.g. in operating systems. A launch point for more advanced architecture studies.
Content:
Low-level programming and structures: A more detailed examination of machine architecture and facilities, exemplified by the 68000 series. Further exploration of different modes of operand addressing; the implementation of program control mechanisms; and subroutines. The relationship between the low-level and aspects of high-level, structured programming such as decisions, loops and modules; nested and recursive routines and conventions for parameter transmission at high and low levels will be examined (supported by practical programming work which may continue throughout the semester). Aspects of modern computer architectures: Non von Neumann architectures and modern approaches to machine design, including , for example, RISC (vs. CISC) architectures. Topics in contemporary machine design, such as pipelining; parallel processing and multiprocessors. The interaction between hardware and software.

MATH0026: Projects & their management
Semester 2
Credits: 6
Contact:
Topic: Computing
Level: Level 2
Assessment: CW100
Requisites:
Aims & learning objectives:
Aims: To gain experience of working with other people and, on a small-scale, some of the problems that arise in the commercial development of software. To appreciate the personal, corporate and public interest ethical problems arising from all aspects of computer systems. To distinguish between scientific and pseudo-scientific modes of presentation, and to encourage competence in the scientific mode. Objectives: To carry out the full cycle of the first phase of development of a software package, namely; requirements analysis, design, implementation, documentation and delivery. To know the main terms of the Data Protection Act and be able to explain its application in a variety of contexts. To be able to design a presentation for a given audience. To be able to assess a presentation critically.
Content:
Project Management: Software engineering techniques, Controlling software development, Project planning/ Management, Documentation, Design, Quality Assurance, Testing. Professional Issues: Ethical and legal matters in the context of information technology. Personal responsibilities: to employer, society, self. Professional responsibilities: codes of professional practice, Chartered Engineers. Legal responsibilities: Data Protection Act, Computer Misuse Act, Consumer Protection Act. Intellectual property rights. Whistle-blowing. Libel and slander. Confidentiality. Contracts. Presentation Skills: How to construct a good explanation. How to construct a good presentation. Sales and manipulative techniques, theatre, and scientific clarity. Active listening and reading. Some items in the charlatan's toolkit: jargon, pseudo-mathematics, ambiguity.

MATH0027: Object-oriented mechanisms
Semester 2
Credits: 6
Contact:
Topic: Computing
Level: Level 2
Assessment: EX75 CW25
Requisites: Pre MATH0019
Aims & learning objectives:
Aims: To provide a grounding in the principles behind object oriented languages and how they are realised, in order to enable the student both to use any object oriented language and to use any language in an object oriented way. Objectives: To be able to classify a given object oriented language into the categories identified above, to describe the differences between those categories and to know the principles involved in implementing a language belonging to any one of those categories. Given a problem description, to be able to design suitable class hierarchies. To be able to read, understand and write programs in C++ and EuLisp.
Content:
Introduction: definition of inheritance and identification of the subclasses of the family of OO languages. Simple (single) inheritance. Extending arithmetic: Complex number arithmetic in C++ (overloading, message-passing) and EuLisp (generics). Sequence and iterators: For classical data structures (list, vector) in C++ and EuLisp. Polymorphism. Integration of user-defined sequence classes. Modelling OO mechanisms: Modelling message passing and class hierarchies. A method determination algorithm for generic functions. Advanced topics: Multiple inheritance and the superclass linearization problem. Meta-object protocols

MATH0028: Algorithms
Semester 2
Credits: 6
Contact:
Topic: Computing
Level: Level 2
Assessment: EX75 CW25
Requisites: Pre MATH0020
Aims & learning objectives:
Aims: To present a detailed account of some fundamentally important and widely used algorithms. To induce an appreciation of the design and implementation of a selection of algorithms. Objectives: To lean the general principles of effective algorithms design and analysis on some famous examples, which are used as fundamental subroutines in major computational procedures. To be able to apply these principles in the development of algorithms and make an informed choice between basic subroutines and data structures.
Content:
Algorithms and complexity. Main principles of effective algorithms design: recursion, divide-and-conquer, dynamic programming. Sorting and order statistics. Strassen's algorithm for matrix multiplication and solving systems of linear equations. Arithmetic operations over integers and polynomials (including Karatsuba's algorithm), Fast Fourier Transform method. Greedy algorithms. Basic graph algorithms: minimum spanning trees, shortest paths, network flows. Number-theoretic algorithms: integer factorization, primality testing, the RSA public key cryptosystem.

MATH0029: Compilers
Semester 2
Credits: 6
Contact:
Topic: Computing
Level: Level 2
Assessment: EX75 CW25
Requisites: Pre MATH0023, Pre MATH0020
Aims & learning objectives:
Aims: to give an introduction to the processes involved in compilation and the use of C-based compiler generation tools. Objectives: to know the phases of the compilation process and how to implement them. To be able to choose between different techniques and different representations, depending on the problem to be solved.
Content:
Formal grammars, lexical analysis using lex, parsing by recursive descent and by yacc, error handling in the parsing process, intermediate code representations, type checking, code generation using a code generator generator (burg).

MATH0030: History, heresy & heretics
Semester 2
Credits: 6
Contact:
Topic: Computing
Level: Level 2
Assessment: EX75 CW25
Requisites:
Aims & learning objectives:
Aims: To inform students of the rapid change in computing via an analysis of the history and development of the computing industry and subject. The course aims to do two things. First, to remove the almost mystical belief that computers can do anything. Secondly, to encourage students to question the appropriateness of computer systems as a solution to any given problem. Objectives: Describe the major trends and changes in hardware, programming languages and software; explain the evolution of the computing industry; extrapolate current trends in the industry, while realising the weakness of extrapolation. Students should be able to demonstrate reasoned arguments for and against the use of computer technology. They should be able to compare machine and human intelligence. They should understand the dangers of compulsive use of computers; and the hazards that a computer solution may introduce.
Content:
The pre-history (Pascal, Babbage, Turing etc.). 1940s and 1950s: the birth of an industry and a subject. Semiconductor technology and its evolution. 1960s and 1970s: the 'range' concept; IBM and the Seven Dwarfs; high-level languages; operating systems; the growth of on-line access. The rise of the mini-computer: workstations and Unix; growth of networking. 'Professionalism'. The PC Market; Intel and Microsoft. Where we are now. What computers do; what programmers do. Machines: engineering a computer system. Humans: language, understanding and reason. Human and machine problem solving: Eliza-like systems, artificial intelligence. Programming as a compulsion.

MATH0031: Statistics & probability 1
Semester 1
Credits: 6
Contact:
Topic: Statistics
Level: Level 1
Assessment: EX100
Requisites:
Aims & learning objectives:
Aims: To introduce some basic concepts in probability and statistics. Objectives: Ability to perform an exploratory analysis of a data set, apply the axioms and laws of probability, and compute quantities relating to discrete probability distributions
Content:
Descriptive statistics: Histograms, stem-and-leaf plots, box plots. Measures of location and dispersion. Scatter plots. Probability: Sample space, events as sets, unions and intersections. Axioms and laws of probability. Probability defined through symmetry, relative frequency and degree of belief. Conditional probability, independence. Bayes' Theorem. Combinations and permutations. Discrete random variables: Bernoulli and Binomial distributions. Mean and variance of a discrete random variable. Poisson distribution, Poisson approximation to the binomial distribution, introduction to the Poisson process. Geometric distribution. Hypergeometric distribution. Negative binomial distribution. Bivariate discrete distributions including marginal and conditional distributions. Expectation and variance of discrete random variables. General properties including expectation of a sum, variance of a sum of independent variables. Covariance. Probability generating function. Introduction to the random walk. Students must have A-level Mathematics, Grade B or better in order to undertake this unit.

MATH0032: Statistics & probability 2
Semester 2
Credits: 6
Contact:
Topic: Statistics
Level: Level 1
Assessment: EX100
Requisites: Pre MATH0031
Aims & learning objectives:
Aims: To introduce further concepts in probability and statistics. Objectives: Ability to compute quantities relating to continuous probability distributions, fit certain types of statistical model to data, and be able to use the MINITAB package.
Content:
Continuous random variables: Density functions and cumulative distribution functions. Mean and variance of a continuous random variable. Uniform, exponential and normal distributions. Normal approximation to binomial and continuity correction. Fact that the sum of independent normals is normal. Distribution of a monotone transformation of a random variable. Fitting statistical models: Sampling distributions, particularly of sample mean. Standard error. Point and interval estimates. Properties of point estimators including bias and variance. Confidence intervals: for the mean of a normal distribution, for a proportion. Opinion polls. The t-distribution; confidence intervals for a normal mean with unknown variance. Regression and correlation: Scatter plot. Fitting a straight line by least squares. The linear regression model. Correlation.

MATH0033: Statistical inference 1
Semester 1
Credits: 6
Contact:
Topic: Statistics
Level: Level 2
Assessment: EX100
Requisites: Pre MATH0031, Pre MATH0032
Aims & learning objectives:
Aims: Introduce classical estimation and hypothesis-testing principles. Objectives: Ability to perform standard estimation procedures and tests on normal data. Ability to carry out goodness-of-fit tests, analyse contingency tables, and carry out non-parametric tests.
Content:
Point estimation: Maximum-likelihood estimation; further properties of estimators, including mean square error, efficiency and consistency; robust methods of estimation such as the median and trimmed mean. Interval estimation: Revision of confidence intervals. Hypothesis testing: Size and power of tests; one-sided and two-sided tests. Examples. Neyman-Pearson lemma. Distributions related to the normal: t, chi-square and F distributions. Inference for normal data: Tests and confidence intervals for normal means and variances, one-sample problems, paired and unpaired two-sample problems. Contingency tables and goodness-of-fit tests. Non-parametric methods: Sign test, signed rank test, Mann-Whitney U-test.

MATH0034: Probability & random processes
Semester 1
Credits: 6
Contact:
Topic: Statistics
Level: Level 2
Assessment: EX100
Requisites: Pre MATH0002, Pre MATH0032
Aims & learning objectives:
Aims: Knowledge and understanding of the statements of the three classical limit theorems of probability. Familiarity with the main results of discrete-time branching processes. Knowledge of the main properties of random walks on the integers. Knowledge of the various equivalent characterisations of the Poisson process. Objectives: Ability to perform computations concerning branching processes, random walks, and Poisson processes. Ability to use generating function techniques for effective calculations.
Content:
Revision of properties of expectation. Chebyshev's inequality. The Weak Law. Martingales. Statement of the Strong Law of Large Numbers. Random variables on the positive integers. Branching processes. Random walks expected first passage times. Poisson processes: inter-arrival times, the gamma distribution. Moment generating functions. Outline of the Central Limit Theorem.

MATH0035: Statistical inference 2
Semester 2
Credits: 6
Contact:
Topic: Statistics
Level: Level 2
Assessment: EX75 CW25
Requisites: Pre MATH0033
Aims & learning objectives:
Aims: Introduce the principles of building and analysing linear models. Objectives: Ability to carry out analyses using linear Gaussian models, including regression and ANOVA. Understand the principles of statistical modelling.
Content:
One-way analysis of variance (ANOVA): One-way classification model, F-test, comparison of group means. Regression: Estimation of model parameters, tests and confidence intervals, prediction intervals, polynomial and multiple regression. Two-way ANOVA: Two-way classification model. Main effects and interaction, parameter estimation, F- and t-tests. Discussion of experimental design. Principles of modelling: Role of the statistical model. Critical appraisal of model selection methods. Use of residuals to check model assumptions: probability plots, identification and treatment of outliers. Multivariate distributions: Joint, marginal and conditional distributions; expectation and variance-covariance matrix of a random vector; statement of properties of the bivariate and multivariate normal distribution. The general linear model: Vector and matrix notation, examples of the design matrix for regression and ANOVA, least squares estimation, internally and externally Studentized residuals.

MATH0036: Stochastic processes
Semester 2
Credits: 6
Contact:
Topic: Statistics
Level: Level 2
Assessment: EX100
Requisites: Pre MATH0034, Ex MATH0093
Aims & learning objectives:
Aims: To present a formal description of Markov chains and Markov processes, their qualitative properties and ergodic theory. To apply results in modelling real life phenomena, such as biological processes, queueing systems, renewal problems and machine repair problems. Objectives: On completing the course, students should be able to
* classify the states of a Markov chain, find hitting probabilities and ergodic distributions
* calculate waiting time distributions, transition probabilities and limiting behaviour of various Markov processes
Content:
Markov chains with discrete states in discrete time: Examples, including random walks. The Markov 'memorylessness' property, P-matrices, n-step transition probabilities, hitting probabilities, classification of states, symmetrizabilty, invariant distributions and ergodic theorems. Markov processes with discrete states in continuous time: Examples, including the Poisson process, birth and death processes, branching processes and various types of Markovian queues. Q-matrices, resolvents waiting time distributions, equilibrium distributions and ergodicity.

MATH0037: Galois theory
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0008, Pre MATH0012
Aims & learning objectives:
Aims This course develops the basic theory of rings and fields and expounds the fundamental theory of Galois on solvability of polynomials. Objectives At the end of the course, students will be conversant with the algebraic structures associated to rings and fields. Moreover, they will be able to state and prove the main theorems of Galois Theory as well as compute the Galois group of simple polynomials.
Content:
Rings, integral domains and fields. Field of quotients of an integral domain. Ideals and quotient rings. Rings of polynomials. Division algorithm and unique factorisation of polynomials over a field. Extension fields. Algebraic closure. Splitting fields. Normal field extensions. Galois groups. The Galois correspondence. THIS UNIT IS ONLY AVAILABLE IN ACADEMIC YEARS STARTING IN AN EVEN YEAR.

MATH0038: Advanced group theory
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0008, Pre MATH0012
Aims & learning objectives:
Aims This course provides a solid introduction to modern group theory covering both the basic tools of the subject and more recent developments. Objectives At the end of the course, students should be able to state and prove the main theorems of classical group theory and know how to apply these. In addition, they will have some appreciation of the relations between group theory and other areas of mathematics.
Content:
Topics will be chosen from the following: Review of elementary group theory: homomorphisms, isomorphisms and Lagrange's theorem. Normalisers, centralisers and conjugacy classes. Group actions. p-groups and the Sylow theorems. Cayley graphs and geometric group theory. Free groups. Presentations of groups. Von Dyck's theorem. Tietze transformations. THIS UNIT IS ONLY AVAILABLE IN ACADEMIC YEARS STARTING IN AN ODD YEAR.

MATH0039: Differential geometry of curves & surfaces
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0007, Pre MATH0008, Pre MATH0011, Pre MATH0012
Aims & learning objectives:
Aims This will be a self-contained course which uses little more than elementary vector calculus to develop the local differential geometry of curves and surfaces in IR³. In this way, an accessible introduction is given to an area of mathematics which has been the subject of active research for over 200 years. Objectives At the end of the course, the students will be able to apply the methods of calculus with confidence to geometrical problems. They will be able to compute the curvatures of curves and surfaces and understand the geometric significance of these quantities.
Content:
Topics will be chosen from the following: Tangent spaces and tangent maps. Curvature and torsion of curves: Frenet-Serret formulae. The Euclidean group and congruences. Curvature and torsion determine a curve up to congruence. Global geometry of curves: isoperimetric inequality; four-vertex theorem. Local geometry of surfaces: parametrisations of surfaces; normals, shape operator, mean and Gauss curvature. Geodesics, integration and the local Gauss-Bonnet theorem.

MATH0041: Metric spaces
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0007, Pre MATH0011
Aims & learning objectives:
Aims This core course is intended to be an elementary and accessible introduction to the theory of metric spaces and the topology of IRn for students with both "pure" and "applied" interests. Objectives While the foundations will be laid for further studies in Analysis and Topology, topics useful in applied areas such as the Contraction Mapping Principle will also be covered. Students will know the fundamental results listed in the syllabus and have an instinct for their utility in analysis and numerical analysis.
Content:
Definition and examples of metric spaces. Convergence of sequences. Continuous maps and isometries. Sequential definition of continuity. Subspaces and product spaces. Complete metric spaces and the Contraction Mapping Principle. Sequential compactness, Bolzano-Weierstrass theorem and applications. Open and closed sets (with emphasis on IRn). Closure and interior of sets. Topological approach to continuity and compactness (with statement of Heine-Borel theorem). Connectedness and path-connectedness. Metric spaces of functions: C[0,1] is a complete metric space.

MATH0042: Measure theory & integration
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Undergraduate Masters
Assessment: EX100
Requisites: Pre MATH0008, Pre MATH0012, Pre MATH0041
Aims & learning objectives:
Aims The purpose of this course is to lay the basic technical foundations and establish the main principles which underpin the classical notions of area, volume and the related idea of an integral. Objectives The objective is to familiarise students with measure as a tool in analysis, functional analysis and probability theory. Students will be able to quote and apply the main inequalities in the subject, and to understand their significance in a wide range of contexts. Students will obtain a full understanding of the Lebesgue Integral.
Content:
Topics will be chosen from the following: Measurability for sets: algebras, s-algebras, p-systems, d-systems; Dynkin's Lemma; Borel s-algebras. Measure in the abstract: additive and s-additive set functions; monotone-convergence properties; Uniqueness Lemma; statement of Caratheodory's Theorem and discussion of the l-set concept used in its proof; full proof on handout. Lebesgue measure on IRn: existence; inner and outer regularity. Measurable functions. Sums, products, composition, lim sups, etc; The Monotone-Class Theorem. Probability. Sample space, events, random variables. Independence; rigorous statement of the Strong Law for coin tossing. Integration. Integral of a non-negative functions as sup of the integrals of simple non-negative functions dominated by it. Monotone-Convergence Theorem; 'Additivity'; Fatou's Lemma; integral of 'signed' function; definition of Lp and of Lp; linearity; Dominated-Convergence Theorem - with mention that it is not the `right' result. Product measures: definition; uniqueness; existence; Fubini's Theorem. Absolutely continuous measures: the idea; effect on integrals. Statement of the Radon-Nikodım Theorem. Inequalities: Jensen, Hölder, Minkowski. Completeness of Lp.

MATH0043: Real & abstract analysis
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Undergraduate Masters
Assessment: EX100
Requisites: Pre MATH0007, Pre MATH0008, Pre MATH0011, Pre MATH0012
Aims & learning objectives:
Aims To introduce and study abstract spaces and general ideas in analysis, to apply them to examples, and to lay the foundations for the year 4 blocks in functional analysis and Lebesgue integral. Objectives By the end of the block, students should be able to state and prove the principal theorems relating to uniform continuity and uniform convergence for real functions on metric spaces, compactness in spaces of continuous functions, and elementary Hilbert space theory, and to apply these notions and the theorems to simple examples.
Content:
Topics will be chosen from: Uniform continuity and uniform limits of continuous functions on [0,1]. Abstract Stone-Weierstrass Theorem. Uniform approximation of continuous functions. Polynomial and trigonometric polynomial approximation, separability of C[0,1]. Total Boundedness. Diagonalisation. Ascoli-Arzelà Theorem. Complete metric spaces. Baire Category Theorem. Nowhere differentiable function. Picard's theorem for c = f(c). Metric completion M of a metric space M. Real inner-product spaces. Hilbert spaces. Cauchy-Schwarz inequality, parallelogram identity. Examples: l², L²[0,1] := C[0,1]. Separability of L² . Orthogonality, Gram-Schmidt process. Bessel's inquality, Pythagoras' Theorem. Projections and subspaces. Orthogonal complements. Riesz Representation Theorem. Complete orthonormal sets in separable Hilbert spaces. Completeness of trigonometric polynomials in L² [0,1]. Fourier Series.

MATH0044: Mathematical methods 1
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0008, Pre MATH0009, Pre MATH0010, Pre MATH0012
Aims & learning objectives:
Aims: To furnish the student with a range of analytic techniques for the solution of ODEs and PDEs. Objectives: Students should be able to obtain the solution of certain ODEs and PDEs. They should also be aware of certain analytic properties associated with the solution e.g. uniqueness.
Content:
Sturm-Liouville theory: Reality of eigenvalues. Orthogonality of eigenfunctions. Expansion in eigenfunctions. Approximation in mean square. Statement of completeness. Fourier Transform: As a limit of Fourier series. Properties and applications to solution of differential equations. Frequency response of linear systems. Characteristic functions. Linear and quasi-linear first-order PDEs in two and three independent variables: Characteristics. Integral surfaces. Uniqueness (without proof). Linear and quasi-linear second-order PDEs in two independent variables: Cauchy-Koivalevskii theorem (without proof). Characteristic data. Lack of continuous dependence on initial data for Cauchy problem. Classification as elliptic, parabolic, and hyperbolic. Different standard forms. Constant and nonconstant coefficients. One-dimensional wave equation: d'Alembert's solution. Uniqueness theorem for corresponding Cauchy problem (with data on a spacelike curve).

MATH0045: Dynamical systems
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Undergraduate Masters
Assessment: EX100
Requisites: Pre MATH0007, Pre MATH0008, Pre MATH0009, Pre MATH0011, Pre MATH0012, Pre MATH0041, Pre MATH0062
Aims & learning objectives:
Aims: A treatment of the qualitative/geometric theory of dynamical systems to a level that will make accessible an area of mathematics (and allied disciplines) that is highly active and rapidly expanding. Objectives: Conversance with concepts, results and techniques fundamental to the study of qualitative behaviour of dynamical systems. An ability to investigate stability of equilibria and periodic orbits. A basic understanding and appreciation of bifurcation and chaotic behaviour
Content:
Topics will be chosen from the following: Stability of equilibria. Lyapunov functions. Invariance principle. Periodic orbits. Poincaré maps. Hyperbolic equilibria and orbits. Stable and unstable manifolds. Nonhyperbolic equilibria and orbits. Centre manifolds. Bifurcation from a simple eigenvalue. Introductory treatment of chaotic behaviour. Horseshoe maps. Symbolic dynamics.

MATH0046: Linear control theory
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0007, Pre MATH0008, Pre MATH0009, Pre MATH0011, Pre MATH0012
Aims & learning objectives:
Aims: The course is intended to provide an elementary and assessible introduction to the state-space theory of linear control systems. Main emphasis is on continuous-time autonomous systems, although discrete-time systems will receive some attention through sampling of continuous-time systems. Contact with classical (Laplace-transform based) control theory is made in the context of realization theory. Objectives: To instill basic concepts and results from control theory in a rigorous manner making use of elementary linear algebra and linear ordinary differential equations. Conversance with controllability, observability, stabilizabilty and realization theory in a linear, finite-dimensional context.
Content:
Topics will be chosen from the following: Controlled and observed dynamical systems: definitions and classifications. Controllability and observability: Gramians, rank conditions, Hautus criteria, controllable and unobservable subspaces. Input-output maps. Transfer functions and state-space realizations. State feedback: stabilizability and pole placement. Observers and output feedback: detectability, asymptotic state estimation, stabilization by dynamic feedback. Discrete-time systems: z-transform, deadbeat control and observation. Sampling of continuous-time systems: controllability and observability under sampling.

MATH0047: Mathematical biology 1
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Level 3
Assessment: EX75 CW12
Requisites: Pre MATH0009, Pre MATH0013
Aims & learning objectives:
Aims: The purpose of this course is to introduce students to problems which arise in biology which can be tackled using applied mathematics. Emphasis will be laid upon deriving the equations describing the biological problem and at all times the interplay between the mathematics and the underlying biology will be brought to the fore. Objectives: Students should be able to derive a mathematical model of a given problem in biology using ODEs and give a qualitative account of the type of solution expected. They should be able to interpret the results in terms of the original biological problem.
Content:
Topics will be chosen from the following: Difference equations: Steady states and fixed points. Stability. Period doubling bifurcations. Chaos. Application to population growth. Systems of difference equations: Host-parasitoid systems. Systems of ODEs: Stability of solutions. Critical points. Phase plane analysis. Poincaré-Bendixson theorem. Bendixson and Dulac negative criteria. Conservative systems. Structural stability and instability. Lyapunov functions. Prey-predator models Epidemic models Travelling wave fronts: Waves of advance of an advantageous gene. Waves of excitation in nerves. Waves of advance of an epidemic.

MATH0048: Analytical & geometric theory of differential equations
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Undergraduate Masters
Assessment: EX100
Requisites:
Aims & learning objectives:
Aims: To give a unified presention of systems of ordinary differential equations that have a Hamiltonian or Lagrangian structure. Geomtrical and analytical insights will be used to prove qualitative properties of solutions. These ideas have generated many developments in modern pure mathematics, such as sympletic geometry and ergodic theory, besides being applicable to the equations of classical mechanics, and motivating much of modern physics. Objectives: Students will be able to state and prove general theorems for Lagrangian and Hamiltonian systems. Based on these theoretical results and key motivating examples they will identify general qualitative properties of solutions of these systems.
Content:
Lagrangian and Hamiltonian systems, phase space, phase flow, variational principles and Euler-Lagrange equations, Hamilton's Principle of least action, Legendre transform, Liouville's Theorem, Poincaré recurrence theorem, Noether's Theorem.

MATH0049: Linear elasticity
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Level 3
Assessment: EX100
Requisites:
Aims & learning objectives:
Aims: To provide an introduction to the mathematical modelling of the behaviour of solid elastic materials. Objectives: Students should be able to derive the governing equations of the theory of linear elasticity and be able to solve simple problems.
Content:
Topics will be chosen from the following: Revision: Kinematics of deformation, stress analysis, global balance laws, boundary conditions. Constitutive law: Properties of real materials; constitutive law for linear isotropic elasticity, Lame moduli; field equations of linear elasticity; Young's modulus, Poisson's ratio. Some simple problems of elastostatics: Expansion of a spherical shell, bulk modulus; deformation of a block under gravity; elementary bending solution. Linear elastostatics: Strain energy function; uniqueness theorem; Betti's reciprocal theorem, mean value theorems; variational principles, application to composite materials; torsion of cylinders, Prandtl's stress function. Linear elastodynamics: Basic equations and general solutions; plane waves in unbounded media, simple reflection problems; surface waves.

MATH0050: Nonlinear equations & bifurcations
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Undergraduate Masters
Assessment: EX75 CW25
Requisites: Pre MATH0051, Pre MATH0041
Aims & learning objectives:
Aims: To extend the real analysis of implicitly defined functions into the numerical analysis of iterative methods for computing such functions and to teach an awareness of practical issues involved in applying such methods. Objectives: The students should be able to solve a variety of nonlinear equations in many variables and should be able to assess the performance of their solution methods using appropriate mathematical analysis.
Content:
Topics will be chosen from the following: Solution methods for nonlinear equations: Review of Newton's method for systems. Quasi-Newton Methods. Theoretical Tools: Local Convergence of Newton's Method. Implicit Function Theorem. Bifurcation from the trivial solution. Applications: Exothermic reaction and buckling problems. Continuous and discrete models. Analysis of parameter-dependent two-point boundary value problems using the shooting method. Practial use of the shooting method. The Lyapunov-Schmidt Reduction. Application to analysis of discretised boundary value problems. Computation of solution paths for systems of nonlinear algebraic equations. Pseudo-arclength continuation. Homotopy methods. Computation of turning points. Bordered systems and their solution. Exploitation of symmetry. Hopf bifurcation.

MATH0051: Numerical linear algebra
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Level 3
Assessment: EX75 CW25
Requisites: Pre MATH0008, Pre MATH0010, Pre MATH0012, Pre MATH0014
Aims & learning objectives:
Aims: To teach an understanding of iterative methods for standard problems of linear algebra. Objectives: Students should know a range of modern iterative methods for solving linear systems and for solving the algebraic eigenvalue problem. They should be able to analyse their algorithms and should have an understanding of relevant practical issues.
Content:
Topics will be chosen from the following: The algebraic eigenvalue problem: Gerschgorin's theorems. The power method and its extensions. Backward Error Analysis (Bauer-Fike). The (Givens) QR factorization and the QR method for symmetric tridiagonal matrices. (Statement of convergence only). The Lanczos Procedure for reduction of a real symmetric matrix to tridiagonal form. Orthogonality properties of Lanczos iterates. Iterative Methods for Linear Systems: Convergence of stationary iteration methods. Special cases of symmetric positive definite and diagonally dominant matrices. Variational principles for linear systems with real symmetric matrices. The conjugate gradient method. Krylov subspaces. Convergence. Connection with the Lanczos method. Iterative Methods for Nonlinear Systems: Newton's Method. Convergence in 1D. Statement of algorithm for systems.

MATH0052: Algebra & combinatorics
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0008, Pre MATH0012
Aims & learning objectives:
Aims: This course provides an accessible introduction to various ideas in discrete mathematics based around the idea of counting arguments. As such, it will give an overview of the methods of modern algebra and their application for students who do not intend to become specialists in this area. Objectives: At the end of the course, students will be proficient in applying a variety of algebraic techniques to solve combinatorial problems arising in Mathematics and related disciplines.
Content:
Topics will be chosen from the following: Graphs, Trees and Forests. Philip Hall's marriage theorem. Möbius inversion and multiplicative functions in number theory. Finite fields and cyclotomic polynomials. Quadratic Reciprocity. Linear recurrences over finite fields and applications of quadratic reciprocity. Random functions and factoring methods.

MATH0053: Algebraic number theory
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0037
Aims & learning objectives:
Aims: This course will provide a solid introduction to Algebraic Number Theory, both as a subject in its own right and as a source of applications to Computer Science. Objectives: Students completing the course should understand algebraic numbers, how unique factorization fails, and how it can be restored by using "ideal numbers".
Content:
Topics will be chosen from the following: Quadratic reciprocity. Noetherian rings, Dedekind domains, algebraic number fields and rings of algebraic integers. Primes and irreducibles. Ramification of primes. Norms and traces. Integral bases. Class groups and the class number formula. Dirichlet's units theorem. Applications of Galois Theory. The method of Minkowski. THIS UNIT IS ONLY AVAILABLE IN ACADEMIC YEARS STARTING IN AN EVEN YEAR.

MATH0054: Representation theory of finite groups
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0038
Aims & learning objectives:
Aims: The course explains some fundamental applications of linear algebra to the study of finite groups. In so doing, it will show by example how one area of mathematics can enhance and enrich the study of another. Objectives: At the end of the course, the students will be able to state and prove the main theorems of Maschke and Schur and be conversant with their many applications in representation theory and character theory. Moreover, they will be able to apply these results to problems in group theory.
Content:
Topics will be chosen from the following: Group algebras, their modules and associated representations. Maschke's theorem and complete reducibility. Irreducible representations and Schur's lemma. Decomposition of the regular representation. Character theory and orthogonality theorems. Burnside's pa qb theorem. THIS UNIT IS ONLY AVAILABLE IN ACADEMIC YEARS STARTING IN AN ODD YEAR.

MATH0055: Introduction to topology
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0041
Aims & learning objectives:
Aims: To provide an introduction to the ideas of point-set topology culminating with a sketch of the classification of compact surfaces. As such it provides a self-contained account of one of the triumphs of 20th century mathematics as well as providing the necessary background for Year 4 courses in Algebraic Topology and Functional Analysis. Objectives: To acquaint students with the important notion of a topology and to familiarise them with the basic theorems of analysis in their most general setting. Students will be able to distinguish between metric and topological space theory and to understand refinements, such as Hausdorff or compact spaces, and their applications.
Content:
Topics will be chosen from the following: Topologies and topological spaces. Subspaces. Bases and sub-bases: product spaces; compact-open topology. Continuous maps and homeomorphisms. Separation axioms. Connectedness. Compactness and its equivalent characterisations in a metric space. Axiom of Choice and Zorn's Lemma. Tychonoff's theorem. Quotient spaces. Compact surfaces and their representation as quotient spaces. Sketch of the classification of compact surfaces.

MATH0056: Complex analysis
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0007, Pre MATH0011
Aims & learning objectives:
Aims: The aim of this course is to cover the standard introductory material in the theory of functions of a complex variable and to cover complex function theory up to Cauchy's Residue Theorem and its applications. Objectives: Students should end up familiar with the theory of functions of a complex variable and be capable of calculating and justifying power series, Laurent series, contour integrals and applying them.
Content:
Topics will be chosen from the following: Functions of a complex variable. Continuity. Complex series and power series. Circle of convergence. The complex plane. Regions, paths, simple and closed paths. Path-connectedness. Analyticity and the Cauchy-Riemann equations. Harmonic functions. Cauchy's theorem. Cauchy's Integral Formulae and its application to power series. Isolated zeros. Differentiability of an analytic function. Liouville's Theorem. Zeros, poles and essential singularities. Laurent expansions. Cauchy's Residue Theorem and contour integration. Applications to real definite integrals.

MATH0057: Functional analysis
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Undergraduate Masters
Assessment: EX100
Requisites: Pre MATH0041, Pre MATH0043
Aims & learning objectives:
Aims: To introduce the theory of infinite-dimensional normed vector spaces, the linear mappings between them, and spectral theory. Objectives: By the end of the block, the students should be able to state and prove the principal theorems relating to Banach spaces, bounded linear operators, compact linear operators, and spectral theory of compact self-adjoint linear operators, and apply these notions and theorems to simple examples.
Content:
Topics will be chosen from the following: Normed vector spaces and their metric structure. Banach spaces. Young, Mikowski and Hölder inequalities. Examples - IRn, C[0,1], l, Hilbert spaces. Riesz Lemma and finite-dimensional subspaces. The space B(X,Y) of bounded linear operators is a Banach space when Y is complete. Dual spaces and second duals. Uniform Boundedness Theorem. Open Mapping Theorem. Closed Graph Theorem. Projections onto closed subspaces. Invertible operators form an open set. Power series expansion for (I-T)-1. Compact operators on Banach spaces. Spectrum of an operator - compactness of spectrum. Operators on Hilbert space and their adjoints. Spectral theory of self-adjoint compact operators. Zorn's Lemma. Hahn-Banach Theorem. Canonical embedding of X in X
*
* is isometric, reflexivity. Simple applications to weak topologies.

MATH0058: Martingale theory
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Undergraduate Masters
Assessment: EX100
Requisites: Pre MATH0041, Pre MATH0042, Pre MATH0031, Pre MATH0032
Aims & learning objectives:
Aims: To stimulate through theory and especially examples, an interest and appreciation of the power of this elegant method in analysis and probability. Applications of the theory are at the heart of this course. Objectives: By the end of the course, students should be familiar with the main results and techniques of discrete time martingale theory. They will have seen applications of martingales in proving some important results from classical probability theory, and they should be able to recognise and apply martingales in solving a variety of more elementary problems.
Content:
Topics will be chosen from the following: Review of fundamental concepts. Conditional expectation. Martingales, stopping times, Optional-Stopping Theorem. The Convergence Theorem. L²-bounded martingales, the random-signs problem. Angle-brackets process, Lévy's Borel-Cantelli Lemma. Uniform integrability. UI martingales, the "Downward" Theorem, the Strong Law, the Submartingale Inequality. Likelihood ratio, Kakutani's theorem.

MATH0059: Mathematical methods 2
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0044
Aims & learning objectives:
Aims: To introduce students to the applications of advanced analysis to the solution of PDEs. Objectives: Students should be able to obtain solutions to certain important PDEs using a variety of techniques e.g. Green's functions, separation of variables. They should also be familiar with important analytic properties of the solution.
Content:
Topics will be chosen from the following: Elliptic equations in two independent variables: Harmonic functions. Mean value property. Maximum principle (several proofs). Dirichlet and Neumann problems. Representation of solutions in terms of Green's functions. Continuous dependence of data for Dirichlet problem. Uniqueness. Parabolic equations in two independent variables: Representation theorems. Green's functions. Self-adjoint second-order operators: Eigenvalue problems (mainly by example). Separation of variables for inhomogeneous systems. Green's function methods in general: Method of images. Use of integral transforms. Conformal mapping. Calculus of variations: Maxima and minima. Lagrange multipliers. Extrema for integral functions. Euler's equation and its special first integrals. Integral and non-integral constraints.

MATH0060: Nonlinear systems & chaos
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Level 3
Assessment: EX75 CW25
Requisites: Pre MATH0007, Pre MATH0008, Pre MATH0009, Pre MATH0010, Pre MATH0011, Pre MATH0012, Pre MATH0013, Pre MATH0014
Aims & learning objectives:
Aims: The course is intended to be an elementary and accessible introduction to dynamical systems. Main emphasis will be on discrete-time systems which permits the concepts and results to be presented in a rigorous manner, within the framework of the second year core material. Discrete-time systems will be followed by an introductory treatment of continuous-time systems and differential equations. Numerical approximation of differential equations will link with the earlier material on discrete-time systems. Objectives: An appreciation of the behaviour, and its potential complexity, of general dynamical systems through a study of discrete-time systems (which require relatively modest analytical prerequisites) and computer experimentation.
Content:
Topics will be chosen from the following: Discrete-time systems. Maps from IRn to IRn . Fixed points. Periodic orbits. a and w limit sets. Local bifurcations and stability. The logistic map and chaos. Global properties. Continuous-time systems. Periodic orbits and Poincaré maps. Numerical approximation of differential equations. Newton iteration as a dynamical system.

MATH0061: Nonlinear & optimal control theory
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Undergraduate Masters
Assessment: EX100
Requisites: Pre MATH0046, Pre MATH0062, Pre MATH0041
Aims & learning objectives:
Aims: Four concepts underpin control theory: controllability, observability, stabilizability and optimality. Of these, the first two essentially form the focus of the Year 3/4 course on linear control theory. In this course, the latter notions of stabilizability and optimality are developed. Together, the courses on linear control theory and nonlinear & optimal control provide a firm foundation for participating in theoretical and practical developments in an active and expanding discipline. Objectives: To present concepts and results pertaining to robustness, stabilization and optimization of (nonlinear) finite-dimensional control systems in a rigorous manner. Emphasis is placed on optimization, leading to conversance with both the Bellman-Hamilton-Jacobi approach and the maximum principle of Pontryagin, together with their application.
Content:
Topics will be chosen from the following: Controlled dynamical systems: nonlinear systems and linearization. Stability and robustness. Stabilization by feedback. Lyapunov-based design methods. Stability radii. Small-gain theorem. Optimal control. Value function. The Bellman-Hamilton-Jacobi equation. Verification theorem. Quadratic-cost control problem for linear systems. Riccati equations. The Pontryagin maximum principle and transversality conditions (a dynamic programming derivation of a restricted version and statement of the general result with applications). Proof of the maximum principle for the linear time-optimal control problem.

MATH0062: Ordinary differential equations
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Undergraduate Masters
Assessment: EX100
Requisites: Pre MATH0007, Pre MATH0011, Pre MATH0008, Pre MATH0013, Pre MATH0009, Pre MATH0041
Aims & learning objectives:
Aims: To provide an accessible but rigorous treatment of initial-value problems for nonlinear systems of ordinary differential equations. Foundations will be laid for advanced studies in dynamical systems and control. The material is also useful in mathematical biology and numerical analysis. Objectives: Conversance with existence theory for the initial-value problem, locally Lipschitz righthand sides and uniqueness, flow, continuous dependence on initial conditions and parameters, limit sets.
Content:
Topics will be chosen from the following: Motivating examples from diverse areas. Existence of solutions for the initial-value problem. Uniqueness. Maximal intervals of existence. Dependence on initial conditions and parameters. Flow. Global existence and dynamical systems. Limit sets and attractors.

MATH0063: Mathematical biology 2
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Level 3
Assessment: EX100
Requisites:
Aims & learning objectives:
Aims: The aim of the course is to introduce students to applications of partial differential equations to model problems arising in biology. The course will complement Mathematical Biology I where the emphasis was on ODEs and Difference Equations. Objectives: Students should be able to derive and interpret mathematical models of problems arising in biology using PDEs. They should be able to perform a linearised stability analysis of a reaction-diffusion system and determine criteria for diffusion-driven instability. They should be able to interpret the results in terms of the original biological problem.
Content:
Topics will be chosen from the following: Partial Differential Equation Models: Simple random walk derivation of the diffusion equation. Solutions of the diffusion equation. Density-dependent diffusion. Conservation equation. Reaction-diffusion equations. Chemotaxis. Examples for insect dispersal and cell aggregation. Spatial Pattern Formation: Turing mechanisms. Linear stability analysis. Conditions for diffusion-driven instability. Dispersion relation and Turing space. Scale and geometry effects. Mode selection and dispersion relation. Applications: Animal coat markings. "How the leopard got its spots". Butterfly wing patterns.

MATH0065: Viscous fluid mechanics
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Level 3
Assessment: EX100
Requisites:
Aims & learning objectives:
Aims: To introduce the general theory of continuum mechanics and, through this, the study of viscous fluid flow. Objectives: Students should be able to explain the basic concepts of continuum mechanics such as stress, deformation and constitutive relations, be able to formulate balance laws and be able to apply these to the solution of simple problems involving the flow of a viscous fluid.
Content:
Topics will be chosen from the following: Vectors: Linear transformation of vectors. Proper orthogonal transformations. Rotation of axes. Transformation of components under rotation. Cartesian Tensors: Transformations of components, symmetry and skew symmetry. Isotropic tensors. Kinematics: Transformation of line elements, deformation gradient, Green strain. Linear strain measure. Displacement, velocity, strain-rate. Stress: Cauchy stress; relation between traction vector and stress tensor. Global Balance Laws: Equations of motion, boundary conditions. Newtonian Fluids: The constitutive law, uniform flow, Poiseuille flow, flow between rotating cylinders.

MATH0066: Numerical solution of partial differential equations
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Level 3
Assessment: EX75 CW25
Requisites: Pre MATH0010, Pre MATH0014
Aims & learning objectives:
Aims: To teach a broad understanding of discretisation methods for elliptic, hyperbolic and parabolic PDEs. Objectives: Students should be able to apply a range of standard methods for the most important PDEs arising in applications and should be able to perform an analysis of these methods applied to model problems.
Content:
Topics will be chosen from the following: Introduction: examples of physically relevant PDEs and their associated boundary conditions. Well-posed problems. Finite difference methods for parabolic and hyperbolic PDEs. Consistency, stability and convergence. Discrete maximum principles. Finite element method: variational formulation of Poisson's equation. Basis functions in one and two space dimensions. Assembly of the stiffness matrix. Best approximation property. Convergence properties.

MATH0067: Numerical solution of boundary-value problems
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Undergraduate Masters
Assessment: EX75 CW25
Requisites: Pre MATH0007, Pre MATH0011, Pre MATH0051
Aims & learning objectives:
Aims: To teach the basic notions behind the formulation and implementation of approximation techniques for elliptic PDEs based on variational principles. Objectives: An ability to implement and analyse the finite element method for a range of elliptic boundary value-problems.
Content:
Topics will be chosen from the following: Variational principles and weak forms of elliptic equations. Linear and quadratic finite element approximation on triangles and quadrilaterals. Stiffness matrix assembly. Isoparametric mapping. Quadrature. Preconditioned conjugate gradient method. Convergence theory for symmetric elliptic problems. Mixed boundary conditions. Connection with the finite difference method. Discrete maximum principles. Extensions to be chosen from: Monotone semilinear problems, Convection-diffusion problems, Obstacle problems. THIS UNIT IS ONLY AVAILABLE IN ACADEMIC YEARS STARTING IN AN EVEN YEAR.

MATH0068: Finite difference methods for evolutionary problems
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Undergraduate Masters
Assessment: EX75 CW25
Requisites: Pre MATH0010, Pre MATH0014, Pre MATH0041
Aims & learning objectives:
Aims: To teach an understanding of linear stability theory and its application to ODEs and evolutionary PDEs. Objectives: The students should be able to analyse the stability and convergence of a range of numerical methods and assess the practical performance of these methods through computer experiments.
Content:
Topics will be chosen from the following: Solution of initial value problems for ODEs by Linear Multistep methods: local accuracy, order conditions; formulation as a one-step method; stability and convergence. Introduction to physically relevant PDEs. Well-posed problems. Truncation error; consistency, stability, convergence and the Lax Equivalence Theorem; techniques for finding the stability properties of particular numerical methods. Numerical methods for parabolic and hyperbolic PDEs. THIS UNIT IS ONLY AVAILABLE IN ACADEMIC YEARS STARTING IN AN ODD YEAR.

MATH0069: Programming language implementation techniques
Semester 2
Credits: 6
Contact:
Topic: Computing
Level: Level 3
Assessment: EX75 CW25
Requisites: Pre MATH0029
Aims & learning objectives:
Aims: To acquire an appreciation of the suitability of different techniques for the analysis and representations for programming languages, followed by the various means to interpret them. Objectives: To be able to choose suitable techniques for lexing, parsing, type analysis, intermediate representation, transformation and interpretation given the properties of the language to be implemented.
Content:
Construction of lexical analysers, recursive descent parsing, construction of LR parser tables, type checking, polymorphic type synthesis, continuation passing style, combinators, lambda lifting, super-combinators, abstract interpretation, storage management, byte-code interpreters, code-threaded interpreters, partial evaluation, staging transformations.

MATH0070: Computer algebra
Semester 2
Credits: 6
Contact:
Topic: Computing
Level: Level 3
Assessment: EX75 CW25
Requisites:
Students must have A-level Mathematics, normally Grade B or better, or equivalent, in order to undertake this unit. Aims & learning objectives:
Aims: To show how computer algebra can be used to solve some interesting mathematical problems Objectives: To understand the practical possibilities and limitations of symbolic computation, and to see how it is related to numerical computation.
Content:
Introduction to Reduce. Data representation questions. Normal and canonical forms. Polynomials, algebraic numbers, elementary numbers. Polynomial algebra: GCD and factorization algorithms, modular methods. LLL algorithm. Numerical and symbolic methods for solving systems of nonlinear equations: Newton, Wu's method, Gröbner bases. Introduction to integration.

MATH0072: Safety-critical computer systems
Semester 1
Credits: 6
Contact:
Topic: Computing
Level: Level 3
Assessment: EX100
Requisites:
Aims & learning objectives:
Aims: To give an appreciation of the current state of safe systems development. To develop an understanding of risk in systems. To give a foundation in hazard analysis models and techniques. To show how safety principles may be built into all stages of the software development process. Objectives: At the end of this course a student should be able to demonstrate the following skills: An understanding of the nature of risk in developing computer-based systems. The ability to choose and apply appropriate hazard analysis models for simple safety-related problems. An understanding of how to approach the design of safety-critical software systems.
Content:
The nature of risk: computers and risk; how accidents happen; human error. System safety: historical approaches to system safety; basic concepts and terminology. Managing the development of safety-critical systems. Modelling human error and the accident process. Hazard analysis: basic principles; models and techniques. Safety principles in the software lifecycle: hazard analysis as part of requirements analysis; designing for safety; designing the human-machine interface; verification of safety in computer systems.

MATH0073: Advanced algorithms & complexity
Semester 1
Credits: 6
Contact:
Topic: Computing
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0028
Aims & learning objectives:
Aims: To present a detailed introduction to one of the central concepts of combinatorial algorithmics: NP-completeness; to extend this concept to real numbers computations; to study foundations of a more general problem of proving lower complexity bounds. Objectives: to be able to recognise NP-hard problems and prove the appropriate reductions. To cope with NP-complete problems. To know some fundamental methods of proving lower complexity bounds.
Content:
NP-completeness: Deterministic and Nondeterministic Turing Machines; class NP; versions of reducibility; NP-hard and NP-complete problems. Proof of NP-completeness of satisfiability problem for Boolean formulae. Other NP-complete problems: clique, vertex cover, travelling salesman, subgraph isomorphism, etc. Polynomial-time approximation algorithms for travelling salesman and some other NP-complete graph problems. Real Numbers Turing machines: Definitions; completeness of real roots existence problem for 4-degree polynomials. Lower complexity bounds: Straight-line programs and their complexities; complexity of matrix-vector multiplication; complexity of polynomial evaluation.

MATH0075: Advanced computer graphics
Semester 1
Credits: 6
Contact:
Topic: Computing
Level: Level 3
Assessment: EX75 CW25
Requisites:
Aims & learning objectives:
Aims: The primary aims are to understand the ways of representing, rendering and displaying pictures of three-dimensional objects (in particular). In order to achieve this it will be necessary to understand the underlying mathematics and computer techniques. Objectives: Students will be able to distinguish modelling from rendering. They will be able to describe the relevant components of Euclidean and projective geometry and their relationships to matrix algebra formulations. Students will know the difference between solid- and surface-modelling and be able to describe typical computer representations of each. Rendering for raster displays will be explainable in detail, including lighting models and a variety of visual effects and defects. Students will be expected to describe the sampling problem and solutions for both static and moving pictures.
Content:
Euclidean and projective geometry transformations. Modelling: Mesh models and their representation. Constructive solid geometry and its representation. Specialised models. Rendering: Raster images; illumination models; meshes and hidden surface removal; scan-line rendering. CSG: ray-casting; visual effects and defects. Rendering for animation. Ordered dither; resolution; aliasing; colour.

MATH0076: Proposal writing
Semester 1
Credits: 6
Contact:
Topic: Computing
Level: Level 3
Assessment: CW100
Requisites:
Aims & learning objectives:
Aims: To develop skills in writing and criticquing technical proposals. To develop abilities in requirements extraction. Objectives: To demonstrate skills in the above aims by examination of case-studies and the writing of the proposal for the project to be undertaken in the following semester.
Content:
Effective and ineffective written communication. When to use graphs, diagrams and pictures. Proposal structure. Styles of written English. Developing your own style. Interviewing. Selecting your project and preparing your proposal.

MATH0077: Formal software development
Semester 1
Credits: 6
Contact:
Topic: Computing
Level: Level 3
Assessment: EX100
Requisites:
Aims & learning objectives:
Aims: To convey to students the idea that software development can be presented as a systematic process of calculation with mathematically secure foundations. Objectives: Students should be able to develop modest programs systematically with a complete understanding of the mathematical foundations of the method advocated, and should understand the relationship between formal and informal methods for practical use.
Content:
Software specification. Informal and formal development methods and their implications for the software life-cycle. Current status of formal development methods. Refinement methods and refinement calculi. Refinement Calculus: Programs, specifications, code, refinement. Types, invariants and feasibility. Assignment and sequencing. Control structures: alternatives and iteration. Introduction to data refinement. Foundations of the Refinement Calculus: Dijkstra's weakest precondition and language semantics in terms of it. Use of the weakest precondition as a basis for the refinement calculus. Proving refinement laws from first principles; deriving one refinement law from another.

MATH0078: Networking
Semester 2
Credits: 6
Contact:
Topic: Computing
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0025
Aims & learning objectives:
Aims: To understand the Internet, and associated background and theory, to a level sufficient for a competent domain manager. Objectives: Students should be able to explain the acronyms and concepts of the Internet and how they relate. Students should be able to state the steps required to connect a domain to the Internet, and be able to explain the issues involved to both technical and non-technical audiences. Students should be able to discuss the ethical issues involved, and have an "intelligent layman's" grasp of the legal issues and uncertainties. Students should be aware of the fundamental security issues, and should be able to advise on the configuration issues surrounding a firewall.
Content:
The ISO 7-layer model. The Internet: its history and evolution - predictions for the future. The TCP/IP stack: IP, ICMP, TCP, UDP, DNS, XDR, NFS and SMTP. Berkeley Introduction to packet layout: source routing etc. The CONS/CLNS debate: theory versus practice. Various link levels: SLIP, 802.5 and Ethernet, satellites, the "fat pipe", ATM. Performance issues: bandwidth, MSS and RTT; caching at various layers. Who 'owns' the Internet and who 'manages' it: RFCs, service providers, domain managers, IANA, UKERNA, commercial British activities. Routing protocols and default routers. HTML and electronic publishing. Legal and ethical issues: slander/libel, copyright, pornography, publishing versus carrying. Security and firewalls: Kerberos.

MATH0079: Computer speech processing
Semester 2
Credits: 6
Contact:
Topic: Computing
Level: Level 3
Assessment: EX100
Requisites:
Aims & learning objectives:
Aims: To introduce the essential concepts and techniques of automatic speech processing and to use speech processing as an illustration of an area of active research and development in computer technology that is both novel and lies near the limits of present capability. Objectives: Students will be able to i) outline the essential processes of human speech production and read and write simple phonetic transcriptions, ii) to demonstrate an understanding of signal processing, iii) to describe, compare and contrast digital schemes for sampling, coding and analysing speech, iv) to comprehend the theoretical and practical issues in automatic speech processing and v) to explain, and assess major speech synthesis and recognition techniques.
Content:
Speech production: the articulatory system; acoustic-phonetics and prosody; phonetic transcription and co-articulation; phonemes, phones, phonology and allophones. Speech signals: their nature, characterisation and representation in different domains; theory of elementary signal processing. Speech coding and analysis: simple PCM; sampling and quantisation errors; other coding schemes for data compression and feature extraction. Speech synthesis: articulatory, formant and other types of synthesis; synthesis by rule and text-to-speech synthesis. Speech recognition: matching complex and variable patterns; segmentation of connected and continuous speech; speaker dependence; time variations and warping; statistically-oriented techniques for recognition and some current methods; recognition versus understanding. THIS UNIT IS ONLY AVAILABLE IN ACADEMIC YEARS STARTING IN AN EVEN YEAR.

MATH0080: Computer vision
Semester 2
Credits: 6
Contact:
Topic: Computing
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0021
Aims & learning objectives:
Aims: To present a broad account of computer vision, with the emphasis on the image processing required for its low level stages. Objectives: To induce an appreciation of the processes involved in robotic vision and how this differs from human vision.
Content:
Image formation. Colour versus monochrome. Preprocessing of the image. Edge finding: elementary methods and their shortcomings; sophisticated methods such as those of Marr-Hildreth, Canny, and Prager. Optical flow. Hough transform. Global and local region segmentation techniques: histogram techniques, region growing. Representation of the results of low level processing. Some image interpretation methods employing probability arguments and fuzzy logic. Hardware. Practical problems based on an image processing package. THIS UNIT IS ONLY AVAILABLE IN ACADEMIC YEARS STARTING IN AN ODD YEAR.

MATH0081: Hardware architecture & compilation
Semester 1
Credits: 6
Contact:
Topic: Computing
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0029
Aims & learning objectives:
Aims: To demonstrate the impact that computer architecture is having on compiler design. To explore trends in hardware development, and examine techniques for efficient use of machine resources, Objectives: Students should be able to describe the philosophy of RISC and CISC architectures. They should know at least one technique for register allocation, and one technique for instruction scheduling. They should be able to write a simple code generator.
Content:
Description of several state-of-the-art chip designs. The implications for compilers of RISC architectures. Register allocation algorithms (colouring, DAGS, scheduling). Global data-flow analysis. Pipelines and instruction scheduling; delayed branches and loads. Multiple instruction issue. VLIW and the Bulldog compiler. Harvard architecture and Caches. Benchmarking.

MATH0082: Double module project
Semester 2
Credits: 12
Contact:
Topic: Computing
Level: Level 3
Assessment: CW100
Requisites: Pre MATH0076
Aims & learning objectives:
Aims: To satisfy as many of the objectives as possible as set out in the individual project proposal. Objectives: To produce the deliverables identified in the individual project proposal.
Content:
Defined in the individual project proposal.

MATH0084: Linear models
Semester 1
Credits: 6
Contact:
Topic: Statistics
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0035, Pre MATH0002, Pre MATH0003, Pre MATH0005, Pre MATH0008
Aims & learning objectives:
Aims: To present the theory and application of normal linear models and generalised linear models, including estimation, hypothesis testing and confidence intervals. To describe methods of model choice and the use of residuals in diagnostic checking. Objectives: On completing the course, students should be able to (a) choose an appropriate generalised linear model for a given set of data; (b) fit this model using the GLIM program, select terms for inclusion in the model and assess the adequacy of a selected model; (c) make inferences on the basis of a fitted model and recognise the assumptions underlying these inferences and possible limitations to their accuracy.
Content:
Normal linear model: Vector and matrix representation, constraints on parameters, least squares estimation, distributions of parameter and variance estimates, t-tests and confidence intervals, the Analysis of Variance, F-tests for unbalanced designs. Model building: Criteria for use in model selection including Mallows Cp statistic, the PRESS criterion, Akaike's information criterion. Subset selection and stepwise regression methods with applications in polynomial regression and multiple regression. Effects of collinearity in regression variables. Implications of model choice on subsequent inferential statements. Uses of residuals: Probability plots, added variable plots, plotting residuals against fitted values to detect a mean-variance relationship, standardised residuals for outlier detection, masking. Generalised linear models: Exponential families, standard form, statement of asymptotic theory for i.i.d. samples, Fisher information. Linear predictors and link functions, statement of asymptotic theory for the generalised linear model, applications to z-tests and confidence intervals, c²-²tests and the analysis of deviance. Residuals from generalised linear models and their uses. Applications to bioassay, dose response relationships, logistic regression, contingency tables.

MATH0085: Time series
Semester 1
Credits: 6
Contact:
Topic: Statistics
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0035
Aims & learning objectives:
Aims: To introduce a variety of statistical models for time series and cover the main methods for analysing these models. Objectives: At the end of the course, the student should be able to
* compute and interpret a correlogram and a sample spectrum
* derive the properties of ARIMA and state-space models
* choose an appropriate ARIMA model for a given set of data and fit the model using the MINITAB package
* compute forecasts for a variety of linear methods and models.
Content:
Introduction: Examples, simple descriptive techniques, trend, seasonality, the correlogram. Probability models for time series: Stationarity; moving average (MA), autoregressive (AR), ARMA and ARIMA models. Estimating the autocorrelation function and fitting ARIMA models. Forecasting: Exponential smoothing, Box-Jenkins method. Stationary processes in the frequency domain: The spectral density function, the periodogram, spectral analysis. Bivariate processes: Cross-correlation function, cross spectrum. Linear systems: Impulse response, step response and frequency response functions. State-space models: Dynamic linear models and the Kalman filter. THIS UNIT IS ONLY AVAILABLE IN ACADEMIC YEARS STARTING IN AN ODD YEAR.

MATH0086: Medical statistics
Semester 1
Credits: 6
Contact:
Topic: Statistics
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0035, Pre MATH0003, Pre MATH0005
Aims & learning objectives:
Aims: To introduce students to the statistical needs of medical research and describe commonly used methods in the design and analysis of clinical trials. Objectives: On completing the course, students should be able to (a) recognise the statistically important features of a medical research problem and, where appropriate, suggest a suitable clinical trial design; (b)· analyse data collected from a comparative clinical trial, ncluding crossover and case-control studies, binary response data and survival data.
Content:
Drug development: Phases I to IV of drug development and testing. Ethical considerations. Design of clinical trials: Defining the patient population, the trial protocol, possible sources of bias, randomisation, blinding, use of placebo treatment, stratification, balancing prognostic variables across treatments by "minimisation". Formulation of clinical trials as hypothesis testing and decision problems. Sample size calculations, use of pilot studies, adaptive methods. Analysis of clinical trials: Patient withdrawals, "intent to treat" criterion for inclusion of patients in analysis, inclusion of stratification variables in the analysis. Interim analyses: Repeated significance tests, O'Brien and Fleming's stopping rule, sample size calculations. Statistical analysis following a group sequential trial, contrast between frequentist and Bayesian analyses. Crossover trials: Two treatment, two period design. Discussion of more complex designs. Case-control studies. Binary data: Comparison of treatments with binary outcomes, inclusion of prognostic variables in logit and probit models. Survival data: Life tables, censoring. Parametric models for censored survival data. Kaplan-Meier estimate, Greenwood's formula, the proportional hazards model, logrank test, Cox's proportional hazards regression model. THIS UNIT IS ONLY AVAILABLE IN ACADEMIC YEARS STARTING IN AN ODD YEAR.

MATH0087: Optimisation methods of operational research
Semester 1
Credits: 6
Contact:
Topic: Statistics
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0002, Pre MATH0005
Aims & learning objectives:
Aims: To present methods of optimisation commonly used in OR, to explain their theoretical basis and give an appreciation of the variety of areas in which they are applicable. Objectives: On completing the course, students should be able to
* recognise practical problems where optimisation methods can be used effectively
* implement the simplex and dual simplex algorithms, Dantzig's method for the transportation problem and the Ford-Fulkerson algorithm
* explain the underlying theory of linear programming problems, including duality.
Content:
The Nature of OR: Brief introduction. Linear Programming: Basic solutions and the fundamental theorem. The simplex algorithm, two phase method for an initial solution. Interpretation of the optimal tableau. Duality. Sensitivity analysis and the dual simplex algorithm. Brief discussion of Karmarkar's method. Applications of LP. The transportation problem and its applications, solution by Dantzig's method. Network flow problems, the Ford-Fulkerson theorem. Non-linear Programming: Revision of classical Lagrangian methods. Kuhn-Tucker conditions, necessity and sufficiency. Illustration by application to quadratic programming.

MATH0088: Data collection
Semester 1
Credits: 6
Contact:
Topic: Statistics
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0035
Aims & learning objectives:
Aims: To illustrate the principles of experimental design in randomised and factorial designs and a variety of sample survey methods. To present components of variance estimation in random effects models and discuss its application in industrial quality improvement. Objectives: On completing the course, students should be able to
* identify the features of a proposed study that affect the choice of experimental design
* choose a suitable, efficient design for a study and explain how the data collected under this design should ultimately be analysed
* design and analyse a components of variance experiment
* design and analyse a sample survey.
Content:
Principles of experimental design: Randomisation and the avoidance of bias. Advantages of orthogonal parameter estimates. Efficiency and optimal designs. Practical considerations. Observational studies: Confounding factors, reduction of bias by matching and regression modelling. The scope of inference from observational data. Randomised designs: Completely randomised and randomised block designs. Factorial designs: Complete factorial designs, confounding and fractional factorials, applications to modern quality improvement. Random effects: Split plot designs, statistical models and analyses. Sample surveys: Simple random sampling, stratified sampling, two-stage sampling, cluster sampling, quota sampling. Inference about the mean of a finite population. Randomised response methods for sensitive questions. THIS UNIT IS ONLY AVAILABLE IN ACADEMIC YEARS STARTING IN AN EVEN YEAR.

MATH0089: Applied probability & finance
Semester 1
Credits: 6
Contact:
Topic: Statistics
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0034
Aims & learning objectives:
Aims: To develop and apply the theory of probability and stochastic processes to examples from finance and economics. Objectives: At the end of the course, students should be able to
* formulate mathematically, and then solve, dynamic programming problems
* describe the Capital Asset Pricing Model and its conclusions
* price an option on a stock modelled by a single step of a random walk
* perform simple calculations involving properties of Brownian motion.
Content:
Dynamic programming: Markov decision processes, Bellman equation; examples including consumption/investment, bid acceptance, optimal stopping. Infinite horizon problems; discounted programming, the Howard Improvement Lemma, negative and positive programming, simple examples and counter-examples. Utility theory: Risk aversion, the Capital Asset Pricing Model. Option pricing for random walks: Arbitrage pricing theory, prices and discounted prices as Martingales, hedging. Brownian motion: Introduction to Brownian motion, definition and simple properties. Exponential Brownian motion as the model for a stock price, the Black-Scholes formula. THIS UNIT IS ONLY AVAILABLE IN ACADEMIC YEARS STARTING IN AN EVEN YEAR.

MATH0090: Multivariate analysis
Semester 2
Credits: 6
Contact:
Topic: Statistics
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0035, Pre MATH0008
Aims & learning objectives:
Aims: To develop facility in the analysis and interpretation of multivariate data. Objectives: At the end of the course, students should be able to
*· use graphical methods to identify possible structure in high-dimensional data
*· select appropriately among a variety of techniques for dimensionality reduction
*· combine classical inferential methods with more recent computationally-intensive techniques to produce more in-depth analyses than were possible before the computer era.
Content:
Introduction: Graphical exploratory analysis of high-dimensional data. Revision of matrix techniques, eigenvalue and singular value decompositions. Principal components analysis: Derivation and interpretation, approximate reduction of dimensionality, scaling problems. Factor analysis. Multidimensional distributions: The multivariate normal distribution, its properties and estimation of parameters. One and two sample tests on means, the Wishart distribution, Hotelling's T-squared. The multivariate linear model. Canonical correlations and canonical variables: Discriminant analysis, classification problems and cluster analysis. Topics selected from: Metrics and similarity coefficients; multi-dimensional scaling; clustering algorithms; correspondence analysis, the biplot, Procrustes analysis and projection pursuit; Classification and Regression Trees.

MATH0091: Applied statistics
Semester 2
Credits: 6
Contact:
Topic: Statistics
Level: Level 3
Assessment: CW100
Requisites: Pre MATH0084
Aims & learning objectives:
Aims: To give students experience in tackling a variety of "real-life" statistical problems. Objectives: During the course, students should become proficient in
* formulating a problem and carrying out an exploratory data analysis
* tackling non-standard, "messy" data
* presenting the results of an analysis in a clear report.
Content:
Formulating statistical problems: Objectives, the importance of the initial examination of data, processing large-scale data sets. Analysis: Choosing an appropriate method of analysis, verification of assumptions. Presentation of results: Report writing, communication with non-statisticians. Using resources: The computer, the library. Project topics may include: Exploratory data analysis. Practical aspects of sample surveys. Fitting general and generalised linear models. The analysis of standard and non-standard data arising from theoretical work in other blocks.

MATH0092: Statistical inference
Semester 2
Credits: 6
Contact:
Topic: Statistics
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0033
Aims & learning objectives:
Aims: To develop a formal basis for methods of statistical inference and decision making, including criteria for the comparison of procedures. To give an in depth description of Bayesian methods and the asymptotic theory of maximum likelihood methods. Objectives: On completing the course, students should be able to
* identify and compute admissible, minimax and Bayes decision rules
* calculate properties of estimates and hypothesis tests
* derive efficient estimates and tests for a broad range of problems, including applications to a variety of standard distributions.
Content:
Revision of standard distributions: Bernoulli, binomial, Poisson, exponential, gamma and normal, and their interrelationships. Sufficiency and Exponential families. Decision theory: Admissibility and minimax decision rules; Bayes risk and Bayes rules. Bayesian inference; prior and posterior distributions, conjugate priors. Point estimation: Bias and variance considerations, mean squared error. Cramer-Rao lower bound and efficiency. Unbiased minimum variance estimators and a direct appreciation of efficiency through some examples. Bias reduction. Asymptotic theory for maximum likelihood estimators. Hypothesis testing: Hypothesis testing, review of the Neyman-Pearson lemma and maximisation of power. Maximum likelihood ratio tests, asymptotic theory. Compound alternative hypotheses, uniformly most powerful tests, locally most powerful tests and score statistics. Compound null hypotheses, monotone likelihood ratio property, uniformly most powerful unbiased tests. Nuisance parameters, generalised likelihood ratio tests.

MATH0093: Stochastic processes
Semester 2
Credits: 6
Contact:
Topic: Statistics
Level: Level 3
Assessment: EX100
Requisites: Pre MATH0003, Pre MATH0005, Pre MATH0032, Ex MATH0036
Aims & learning objectives:
Aims: To present a formal description of Markov chains and Markov processes, their qualitative properties and ergodic theory. To apply results in modelling real life phenomena, such as biological processes and queueing systems, and in controlling such systems. Objectives: On completing the course, students should be able to
* classify the states of a Markov chain and find its ergodic distribution
* calculate generating functions, waiting time distributions and limiting behaviour of queues
* apply these results to solve OR type problems of process control.
Content:
Markov chains: Definitions and examples, n-step transition probabilities, equilibrium and stationary distributions, classification of states and ergodic theorems, multiplicative chains. Markov processes with discrete states in continuous time: Properties of the Poisson process, birth and death processes, immigration/emigration processes, equilibrium distributions. Queues: Kendall's classification system and examples, M/M/1 including time dependent solution, M/M/k and other Markov queues, the method of stages, machine interference, the queue M/G/l, priority systems.

MATH0094: Probability theory
Semester 2
Credits: 6
Contact:
Topic: Statistics
Level: Undergraduate Masters
Assessment: EX100
Requisites: Pre MATH0034, Pre MATH0042
Aims & learning objectives:
Aims: To teach Probability (and Statistics) in a rigorous mathematical context. Objectives: On completing the course, students should be able to
* describe with precision distributional and sample path aspects of long-term behaviour
* deduce the consequences of this theory in the wide range of real-world problems to which it applies.
Content:
Foundations: First and second Borel-Cantelli lemmas, 0-1 law, Weak Law of Large Numbers, Strong Law of Large Numbers when X has finite fourth moment, Weierstrass's Theorem. Distributions: Characteristic functions and inversion formula. Weak convergence, Skorokhod representation. The Central Limit Theorem and analogues. Convergence of distributions on [0,1], [0,¥] and S¹. Weyl's Theorem. Ergodic theory: Measure preserving transformations, ergodicity. Riesz proof of the Ergodic Theorem. Applications to Markov chains, Strong Law of Large Numbers and continued fractions.

MATH0095: Quantitative methods
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 1
Assessment: EX100
Requisites:
Aims & learning objectives:
To teach the basic ideas of probability, data variability, hypothesis testing and of relationships between variables and the application of these ideas in management. Students should be able to formulate and solve simple problems in probability including the use of Bayes' Theorem and Decision Trees. They should recognise real-life situations where variability is likely to follow a binomial, Poisson or normal distribution and be able to carry out simple related calculations. They should be able to carry out a simple decomposition of a time series, apply correlation and regression analysis and understand the basic idea of statistical significance.
Content:
The laws of Probability, Bayes' Theorem, Decision Trees. Binomial, Poisson and normal distributions and their applications; the relationship between these distributions. Time series decomposition into trend and season al components; multiplicative and additive seasonal factors. Correlation and regression; calculation and interpretation in terms of variability explained. Idea of the sampling distribution of the sample mean; the Z test and the concept of significance level.

MATH0096: Statistics 1 (service unit)
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 2
Assessment: EX60 CW40
Requisites: Pre MATH0095
Aims & learning objectives:
To teach the fundamental ideas of sampling and its use in estimation and hypothesis testing. These will be related as far as possible to management applications. Students should be able to obtain interval estimates for population means, standard deviations and proportions and be able to carry out standard one and two sample tests. They should be able to handle real data sets using the minitab package and show appreciation of the uses and limitations of the methods learned.
Content:
Different types of sample; sampling distributions of means, standard deviations and proportions. The use and meaning of confidence limits. Hypothesis testing; types of error, significance levels and P values. One and two sample tests for means and proportions including the use of Student's t. Simple non-parametric tests and chi-squared tests. The probability of a type 2 error in the Z test and the concept of power. Quality control: Acceptance sampling, Shewhart charts and the relationship to hypothesis testing. The use of the minitab package and practical points in data analysis. Students must achieve 65% pass mark in Quantitative Methods (MATH0095) in order to undertake this unit.

MATH0097: Statistics 2 (service unit)
Semester 1
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 CW40
Requisites: Pre MATH0096
Aims & learning objectives:
To teach the methods of analysis appropriate to simple and multiple regression models and to common types of survey and experimental design. The course will concentrate on applications in the management area. Students should be able to set up and analyse regression models and assess the resulting model critically. They should understand the principles involved in experimental design and be able to apply the methods of analysis of variance.
Content:
One-way analysis of variance (ANOVA): comparisons of group means. Simple and multiple regression: estimation of model parameters, tests, confidence and prediction intervals, residual and diagnostic plots. Two-way ANOVA: Two-way classification model, main effects and interactions. Experimental Design: Randomisation, blocking, factorial designs. Analysis using the minitab package. Students must pass Statistics 1 (MATH0096) in order to undertake this unit.

MATH0105: Industrial placement
Academic Year
Credits: 60
Contact:
Topic:
Level: Level 2
Assessment:
Requisites:


MATH0106: Study year abroad (BSc)
Academic Year
Credits: 60
Contact:
Topic:
Level: Level 2
Assessment:
Requisites:


MATH0107: Study year abroad (MMath)
Academic Year
Credits: 60
Contact:
Topic:
Level: Undergraduate Masters
Assessment:
Requisites:


MATH0115: Mathematical structures
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Level 1
Assessment: EX100
Requisites:
Students must have A-level Mathematics, normally Grade C or better, or equivalent, in order to undertake this unit. Aims & learning objectives:
Aims: To provide a thorough grounding in the elements of mathematics necessary for an understanding and analysis of computational concepts and processes and to lay the foundations for MATH0004. Objectives: To be able to perform accurately algorithms for combinatorial and arithmetical problems and to construct simple proofs.
Content:
Numbers: Natural numbers, integers, prime numbers, statement of prime decomposition theorem, complex numbers. Algebra: Permutations and combinations, proof by induction, Binomial Theorem. Graphs and Trees: Node/ edge representation of graphs, adjacency matrices, directed graphs, binary relations, decision trees, Huffman codes, graph alogrithms, Euler and Hamilton circuits. Matrix Algebra.

MATH0117: Project (MMath)
Semester 1
Credits: 6
Contact:
Topic: Mathematics
Level: Undergraduate Masters
Assessment: CW100
Requisites:
Aims & learning objectives:
Aims: To satisfy as many of the objectives as possible as set out in the individual project proposal. Objectives: To produce the deliverables identified in the individual project proposal.
Content:
Defined in the individual project proposal.

MATH0118: Management statistics
Semester 2
Credits: 5
Contact:
Topic:
Level: Level 3
Assessment: EX60 CW40
Requisites: Pre MATH0097
Aims & learning objectives:
This unit is designed primarily for DBA Final Year students who have taken the First and Second Year management statistics units but is also available for Final Year Statistics students from the School of Mathematical Sciences. Well qualified students from the IMML course would also be considered. It introduces three statistical topics which are particularly relevant to Management Science, namely quality control, forecasting and decision theory. Aims: To introduce some statistical topics which are particularly relevant to Management Science. Objectives: On completing the unit, students should be able to implement some quality control procedures, and some univariate forecasting procedures. They should also understand the ideas of decision theory.
Content:
Quality Control: Acceptance sampling, single and double schemes, SPRT applied to sequential scheme. Process control, Shewhart charts for mean and range, operating characteristics, ideas of cusum charts. Practical forecasting. Time plot. Trend-and-seasonal models. Exponential smoothing. Holt's linear trend model and Holt-Winters seasonal forecasting. Autoregressive models. Box-Jenkins ARIMA forecasting. Introduction to decision analysis for discrete events: Revision of Bayes' Theorem, admissability, Bayes' decisions, minimax. Decision trees, expected value of perfect information. Utility, subjective probability and its measurement.

MATH0125: Markov processes & applications
Semester 2
Credits: 6
Contact:
Topic: Statistics
Level: Level 3
Assessment: EX100
Requisites:
Aims & learning objectives:
Aims: To study further Markov processes in both discrete and continuous time. To apply results to random walks, networks of queues, communication networks, electrical networks, biological processes and elsewhere. Objectives: On completing the course, students should be able to:
* formulate an appropriate Markovian model for a given real life problem and apply suitable theoretical results to obtain a solution;
* calculate basic probabilities of a simple random walk using the excursion process;
* classify a birth process as explosive or non-explosive.
Content:
Topics from: Discrete-time chains; random walks, the Strong Markov Property, reflecting random walks as queueing models in one or more dimensions, electrical networks. Models of interference in communication networks, the ALOHA model. Branching processes. Continuous-time chains: Explosion. Open and closed migration processes, networks of queues, partial balance. The Wright-Fisher and Moran models, the coalescent. The Poisson process in time and space.

MATH0128: Project (BSc)
Semester 2
Credits: 6
Contact:
Topic: Mathematics
Level: Level 3
Assessment: CW100
Requisites:
Aims & learning objectives:
Aims: To satisfy as many of the objectives as possible as set out in the individual project proposal. Objectives: To produce the deliverables identified in the individual project proposal.
Content:
Defined in the individual project proposal.

PHYS0002: Properties of matter
Semester 1
Credits: 6
Contact:
Topic:
Level: Level 1
Assessment: EX80 CW20
Requisites:
Students must have A-level Physics or Chemistry and A-level Mathematics to undertake this unit. Aims & learning objectives:
The aims of this unit are to gain insight into how the interplay between kinetic and potential energy at the atomic level governs the formation of different phases and to demonstrate how the macroscopic properties of materials can be derived from considerations of the microscopic properties at the atomic level. After taking this unit the student should be able to - use simple model potentials to describe molecules and solids - solve simple problems for ideal gases using kinetic theory - describe the energy changes in adiabatic and isothermal processes - derive thermodynamic relationships and analyse cycles - derive and use simple transport expressions in problems concerning viscosity, heat and electrical conduction.
Content:
Balance between kinetic and potential energy. The ideal gas - Kinetic Theory; Maxwell- Boltzmann distribution; Equipartition. The real gas - van der Waals model. The ideal solid - model potentials and equilibrium separations of molecules and Madelung crystals. Simple crystal structures, X-ray scattering and Bragg's law. First and second laws of thermodynamics, P-V-T surfaces, phase changes and critical points, thermodynamic temperature and heat capacity of gases. Derivation of mechanical (viscosity, elasticity, strength, defects) and transport properties (heat and electrical conduction) of gases and solids from considerations of atomic behaviour. Qualitative understanding of viscosity (Newtonian and non-Newtonian) in liquids based on cage models.

PHYS0004: Relativity & astrophysics
Semester 2
Credits: 6
Contact:
Topic:
Level: Level 1
Assessment: EX80 CW20
Requisites:
Students must have A-level Physics and Mathematics to undertake this unit. Aims & learning objectives:
The aims of this unit are to introduce the concepts and results of special relativity and to provide a broad introduction to astronomy and astrophysics. An additional aim is that the student's appreciation of important physical phenomena such as gravitation and blackbody radiation should be reinforced through their study in astrophysical contexts. After taking this unit, the student should be able to - write down the essential results and formulae of special relativity - describe the important special relativity experiments (real or thought) - solve simple kinematic and dynamical special relativity problems - give a qualitative account of how the sun and planets were formed - describe how stars of differing masses evolve - give a simple description of the expanding Universe and its large-scale structure - solve simple problems concerning orbital motion, blackbody radiation, cosmological redshift, stellar luminosity and magnitude.
Content:
Special Relativity: Galilean transformation. Speed of light - Michelson-Morley experiment; Einstein's postulates. Simultaneity; time dilation; space contraction; invariant intervals; rest frames; proper time; proper length. Lorentz transformation. Relativistic momentum, force, energy. Doppler effect. Astrophysical Techniques: Telescopes and detectors. Invisible astronomy : X-rays, gamma-rays, infrared and radio astronomy. Gravitation: Gravitational force and potential energy. Weight and mass. Circular orbits; Kepler's Laws; planetary motion. Escape velocity. Solar System: Earth-Moon system. Terrestrial planets; Jovian planets. Planetary atmospheres. Comets and meteoroids. Formation of the solar system. The interstellar medium and star birth. Stellar distances, magnitudes, luminosities; black-body radiation; stellar classification; Hertzsprung-Russell diagram. Stellar Evolution: Star death: white dwarfs, neutron stars. General Relativity: Gravity and geometry. The principle of equivalence. Deflection of light; curvature of space. Gravitational time dilation. Red shift. Black holes. Large scale structure of the Universe. Galaxies: Galactic structure; classification of galaxies. Formation and evolution of galaxies. Hubble's Law. The expanding universe. The hot Big Bang. Cosmic background radiation and ripples therein.

PHYS0024: Contemporary physics
Semester 1
Credits: 6
Contact:
Topic:
Level: Level 3
Assessment: ES100
Requisites:
Students should have taken an appropriate selection of Year 1 and Year 2 Physics units in order to undertake this unit. Aims & learning objectives:
The aim of this unit is to enable students to find out about some of the most exciting developments in contemporary Physics research. While taking this unit the student should be able to - demonstrate good time management skills in allocating appropriate amounts of time for the planning, research and writing of reports - carry out literature searching methods for academic journals and computer-based resources in order to research the topics studied - develop the ability to extract and assimilate relevant information from extensive sources of information - develop structured report writing skills - write a concise summary of each seminar, at a level understandable by a final year undergraduate unfamiliar with the subject of the seminar - write a detailed technical report on one of the seminar subjects of the student's choice, displaying an appropriate level of technical content, style and structure.
Content:
This unit will be based around 5 or 6 seminars from internal and external speakers who will introduce topics of current interest in Physics. Students will then choose one of these subjects on which to research and write a technical report. Topics are likely to include recent developments in: Astrophysics and Cosmology; Particle Physics; Medical Physics; Laser Physics; Semiconductor Physics; Superconductivity; Quantum Mechanical Simulation of Matter.

PHYS0029: Thermodynamics & statistical mechanics
Semester 2
Credits: 6
Contact:
Topic:
Level: Level 3
Assessment: EX80 CW20
Requisites: Pre PHYS0002, Pre PHYS0008
Aims & learning objectives:
The aims of this unit are to develop an appreciation of the concepts of classical thermodynamics and their application to physical processes and to introduce the concepts of statistical mechanics, showing how one builds from an elementary treatment based on ways of arranging objects to a discussion of Fermi-Dirac and Bose systems, simple phase transitions, and more advanced phenomena. After taking this unit, the student should be able to - define terms such as isobaric, isothermal, adiabatic, etc. and state and apply the 1st and 2nd Laws - calculate work done and heat interchanges as various paths are followed on a PV diagram - explain the operation of, and carry out calculations for, heat engines and refrigerators - write down the Clausius -Clapeyron equation and describe its applications - carry out simple calculations on various Virial equations of state - solve problems using Maxwell's relations in various contexts - define entropy, temperature, chemical potential in statistical terms - derive the Boltzmann, Planck, Fermi-Dirac and Bose-Einstein distribution functions and apply them to simple model systems - outline the mean-field approach to phase transitions in strongly interacting systems, and appreciate its limitations.
Content:
Classical thermodynamics; First and second laws of thermodynamics. Isothermal and adiabatic processes. Thermodynamic temperature scale, heat engines, refrigerators, the Carnot cycle, efficiency and entropy. Thermodynamic functions, Maxwell's relations and their applications. Specific heat equations, phase changes, latent heat equations and critical points. Statistical Mechanics; Basic postulates. Systems in thermal contact and thermal equilibrium. Statistical definitions of entropy, temperature and chemical potential. Boltzmann factor and partition function illustrated by harmonic oscillator and two-state system. Planck distribution: photons, radiation, phonons. Fermions and Bosons: Fermi-Dirac and Bose-Einstein distribution functions. Properties of Fermi systems: ground state of a Fermi gas, density of states; Fermi gas at non-zero temperature; electrons in solids, models of white dwarf and neutron stars. Properties of Bose systems: Bose-Einstein condensation, superfluidity and superconductivity. Applications of Statistical Mechanics to classical and quantum systems such as non-reacting and reacting mixtures of classical gases; equilibrium of two-phase assemblies; models of magnetic crystals, the Ising model; mean-field and other approaches to phase transitions in ferromagnets and binary alloys; elementary kinetic theory of transport processes; transport theory using the relaxation-time approximation: electrical conductivity, viscosity; propagation of heat and sound.

PHYS0030: Quantum mechanics
Semester 2
Credits: 6
Contact:
Topic:
Level: Level 3
Assessment: EX80 CW20
Requisites:
Students must have A-level Physics in order to undertake this unit and must have undertaken appropriate maths units provided by either the Departments of Physics or Mathematical Sciences. Aims & learning objectives:
The aims of this unit are to show how a mathematical model of considerable elegance may be constructed, from a few basic postulates, to describe the seemingly contradictory behaviour of the physical universe and to provide useful information on a wide range of physical problems. After taking this unit the student should be able to: - discuss the dual particle-wave nature of matter - explain the relation between wave functions, operators and experimental observables - justify the need for probability distributions to describe physical phenomena - set up the Schröödinger equation for simple model systems - derive eigenstates of energy, momentum and angular momentum - apply approximate methods to more complex systems.
Content:
Introduction: Breakdown of classical concepts. Old quantum theory. Quantum mechanical concepts and models: The "state" of a quantum mechanical system. Hilbert space. Observables and operators. Eigenvalues and eigenfunctions. Dirac bra and ket vectors. Basis functions and representations. Probability distributions and expectation values of observables. Schrodinger's equation: Operators for position, time, momentum and energy. Derivation of time-dependent Schrodinger equation. Correspondence to classical mechanics. Commutation relations and the Uncertainty Principle. Time evolution of states. Stationary states and the time-independent Schrodinger equation. Motion in one dimension: Free particles. Wave packets and momentum probability density. Time dependence of wave packets. Bound states in square wells. Parity. Reflection and transmission at a step. Tunnelling through a barrier. Linear harmonic oscillator. Motion in three dimensions: Stationary states of free particles. Central potentials; quantisation of angular momentum. The radial equation. Square well; ground state of the deuteron. Electrons in atoms; the hydrogen atom. Hydrogen-like atoms; the Periodic Table. Spin angular momentum: Pauli spin matrices. Identical particles. Symmetry relations for bosons and fermions. Pauli's exclusion principle. Approximate methods for stationary states: Time independent perturbation theory. The variational method. Scattering of particles; the Born approximation.

PHYS0031: Simulation techniques
Semester 2
Credits: 6
Contact:
Topic:
Level: Level 3
Assessment: EX80 CW20
Requisites: Pre PHYS0020
Aims & learning objectives:
The aims of this unit are to identify some of the issues involved in constructing mathematical models of physical processes, and to introduce major techniques of computational science used to find approximate solutions to such models. After taking this unit the student should be able to - dedimensionalise an equation representing a physical system - discretise a differential equation using grid and basis set methods - outline the essential features of each of the simulation techniques introduced - give examples of the use of the techniques in contemporary science - use the simulation schemes to solve simple examples by hand - describe and compare algorithms used for key processes common to many computational schemes.
Content:
Construction of a mathematical model of a physical system; de-dimensionalisation, order of magnitude estimate of relative sizes of terms. Importance of boundary conditions. The need for computed solutions. Discretisation using grids or basis sets. Discretisation errors. The finite difference method; review of ODE solutions. Construction of difference equations from PDEs. Boundary conditions. Applications. The finite element method; Illustration of global, variational approach to solution of PDEs. Segmentation. Boundary conditions. Applications. Molecular Dynamics and Monte-Carlo Methods; examples of N-body problems, ensembles and averaging. The basic MD strategy. The basic MC strategy; random number generation and importance sampling. Applications in statistical mechanics. Simulated annealing. Computer experiments. Solving finite difference problems via random walks. Other major algorithms of computational science; the Fast Fourier Transform, matrix methods, including diagonalisation, optimisation methods, including non-linear least squares fitting.

XXXX0001: Any other units approved by the Director of Studies
Semester 1
Credits: 6
Contact:
Topic:
Level: Level 1
Assessment:
Requisites:
This pseudo-unit indicates that you are allowed to choose other units from around the University subject to the normal constraints such as staff availability, timetabling restrictions, and minimum and maximum group sizes. You should make sure that you indicate your actual choice of units when requested to do so. Details of the University's Catalogue can be seen on the University's Home Page.

XXXX0001: Any other units approved by the Director of Studies
Semester 2
Credits: 6
Contact:
Topic:
Level: Level 1
Assessment:
Requisites:
This pseudo-unit indicates that you are allowed to choose other units from around the University subject to the normal constraints such as staff availability, timetabling restrictions, and minimum and maximum group sizes. You should make sure that you indicate your actual choice of units when requested to do so. Details of the University's Catalogue can be seen on the University's Home Page.