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Programme & Unit Catalogues

Department of Mathematical Sciences, Programme Catalogue 2007/08


USMA-AFB01: BSc (hons) Mathematics and Statistics

Mode of attendance: Full time


Year 1, Semester 1

Mandatory units
MA10001 Numbers 6 Credits
MA10002 Functions, differentiation & analytic geometry 6 Credits
MA10003 Integration & differential equations 6 Credits
MA10031 Introduction to statistics & probability 1 6 Credits
MA10126 Introduction to computing with applications 6 Credits

Year 1, Semester 2

Mandatory units
CM10140 Introduction to programming in Java 6 Credits
MA10004 Sets & sequences 6 Credits
MA10005 Matrices & multivariate calculus 6 Credits
MA10006 Vectors & applications 6 Credits
MA10032 Introduction to statistics & probability 2 6 Credits

Year 2, Semester 1

Mandatory units
MA20007 Analysis: Real numbers, real sequences & series 6 Credits
MA20008 Algebra 1 6 Credits
MA20009 Ordinary differential equations & control 6 Credits
MA20033 Statistical inference 1 6 Credits
MA20034 Probability & random processes 6 Credits

Year 2, Semester 2

Mandatory units
MA20011 Analysis: Real-valued functions of a real variable 6 Credits
MA20012 Algebra 2 6 Credits
MA20014 Numerical analysis 6 Credits
MA20035 Statistical inference 2 6 Credits
MA20036 Stochastic processes 6 Credits

Year 3, Semester 1

Students must take units totalling 60 credits for the year, normally 30 credits each semester. At least 48 of the 60 credits should be at level 3 or higher. The year programme must include at least 3 units from the union of lists A1 and A2 and at least 2 units from the union of B1 and B2.
Mandatory units
MA30084 Generalised linear models 6 Credits
Optional Units: Select between 0 and 4 Unit(s) from the following list: LIST A1
This is List A1 - students must choose at least 3 units from the union of this list and list A2.
AA00001 Choose nothing from this list of options 0 Credits
MA30086 Medical statistics 6 Credits
MA30087 Optimisation methods of operational research 6 Credits
MA30092 Classical statistical inference 6 Credits
MA40125 Markov processes & applications 6 Credits
Optional Units: Select between 0 and 4 Unit(s) from the following list: LIST B1
This is List B1 - students must choose at least 2 units from the union of this list and list B2.
AA00002 Choose nothing from this list of options 0 Credits
MA30039 Differential geometry of curves & surfaces 6 Credits
MA30041 Metric spaces 6 Credits
MA30044 Mathematical methods 1 6 Credits
MA30046 Linear control theory 6 Credits
MA30047 Mathematical biology 1 6 Credits
MA30051 Numerical linear algebra 6 Credits
MA30087 Optimisation methods of operational research 6 Credits
MA40037 Galois theory 6 Credits
MA40038 Advanced group theory 6 Credits
MA40065 Viscous fluid mechanics 6 Credits
MA40125 Markov processes & applications 6 Credits
PH30030 Quantum mechanics 6 Credits
Optional Units: Select between 0 and 4 Unit(s) from the following list: LIST C1
AA00003 Choose nothing from this list of options 0 Credits
CM20019 Computation III: introduction to formal logic & semantics 6 Credits
CM20167 Programming III: functional programming 6 Credits
CM30070 Computer algebra 6 Credits
CM30142 Music & digital signal processing 6 Credits
MA20010 Vector calculus & partial differential equations 6 Credits
ZZ30001 Director of Studies approved unit 6 Credits

Year 3, Semester 2

Students must take units totalling 60 credits for the year, normally 30 credits each semester. At least 48 of the 60 credits should be at level 3 or higher. The year programme must include at least 3 units from the union of lists A1 and A2 and at least 2 units from the union of B1 and B2.
Optional Units: Select between 0 and 5 Unit(s) from the following list: LIST A2
This is List A2 - students must choose at least 3 units from the union of this list and list A1.
AA00011 Choose nothing from this list of options 0 Credits
MA30085 Time series 6 Credits
MA30089 Applied probability & finance 6 Credits
MA30091 Applied statistics 6 Credits
MA40090 Multivariate analysis 6 Credits
MA40189 Topics in Bayesian statistics 6 Credits
Optional Units: Select between 0 and 5 Unit(s) from the following list: LIST B2
This is List B2 - students must choose at least 2 units from the union of this list and list B1.
AA00012 Choose nothing from this list of options 0 Credits
MA30055 Introduction to topology 6 Credits
MA30056 Complex analysis 6 Credits
MA30059 Mathematical methods 2 6 Credits
MA30060 Nonlinear systems & chaos 6 Credits
MA30063 Mathematical biology 2 6 Credits
MA30089 Applied probability & finance 6 Credits
MA30128 Project 6 Credits
MA30170 Numerical solution of PDEs I 6 Credits
MA30172 Conjecture & proof 6 Credits
MA40049 Linear elasticity 6 Credits
MA40054 Representation theory of finite groups 6 Credits
MA40188 Algebraic curves 6 Credits
Optional Units: Select between 0 and 4 Unit(s) from the following list: LIST C2
AA00013 Choose nothing from this list of options 0 Credits
CM20001 Foundations of computer graphics 6 Credits
CM20028 Computation IV: Algorithms 6 Credits
CM20168 Programming IV: programming languages 6 Credits
CM30075 Advanced computer graphics 6 Credits
CM30080 Computer vision 6 Credits
MA20013 Mathematical modelling & fluids 6 Credits
ZZ30004 Director of Studies approved unit 6 Credits