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Department of Mathematical Sciences Programme Catalogue 2013/14

USMA-AAM15: MMath Mathematics with Study Year Abroad

Leading to the award of MASTER OF MATHEMATICS

Mode of attendance: Full-time with Study Year Abroad
arrowYear 1 arrowYear 2 arrowYear 3 arrowYear 4

Year 1

Click here for further information NFAAR-UG assessment regulations:
  • This programme year has a DAP.
  • Main assessment regulations: Appendix 15 PDF format -requires Acrobat Reader to view; Supplementary assessment regulations: Appendix 16 PDF format -requires Acrobat Reader to view.
  • Part 1 Stage 1 of this programme contributes 0% towards the final award classification


Academic Year: Part 1 Stage 1
Compulsory Units:
MA10207 Analysis 1 12 Credits
MA10208 Methods and applications 1 12 Credits
XX10190 Programming and discrete mathematics 1 12 Credits

Semester 1: Part 1 Stage 1
Compulsory Units:
MA10209 Algebra 1A 6 Credits
MA10211 Probability & statistics 1A 6 Credits

Semester 2: Part 1 Stage 1
Compulsory Units:
MA10210 Algebra 1B 6 Credits
MA10212 Probability & statistics 1B 6 Credits

Year 2

Click here for further information NFAAR-UG assessment regulations:
  • This programme year has a DAP.
  • Main assessment regulations: Appendix 23 PDF format -requires Acrobat Reader to view; Supplementary assessment regulations: Appendix 24 PDF format -requires Acrobat Reader to view.
  • Part 2 Stage 2 of this programme contributes 16% towards the final award classification


Semester 1: Part 2 Stage 2
Compulsory Units:
MA20216 Algebra 2A 6 Credits
MA20218 Analysis 2A 6 Credits
Optional Units: Select a minimum of 2 and a maximum of 3 units from the following list:
MA20220 Ordinary differential equations and control 6 Credits
MA20222 Numerical analysis 6 Credits
MA20224 Probability 2A 6 Credits
MA20226 Statistics 2A 6 Credits
Optional Units: Select a minimum of 0 and a maximum of 1 units from the following list:
Students selecting PH20013 should have A-Level Physics, and should study the material on waves from PH10005, to be provided in a Moodle course, over the summer.
CM10194 Computer systems architecture 1 6 Credits
CM20217 Foundations of computation 1 6 Credits
MN10248 Introduction to accounting 6 Credits
PH10002 Properties of matter 6 Credits
PH20013 Quantum & atomic physics 6 Credits

Semester 2: Part 2 Stage 2
Compulsory Units:
MA20217 Algebra 2B 6 Credits
MA20219 Analysis 2B 6 Credits
Optional Units: Select a minimum of 2 and a maximum of 3 units from the following list:
MA20221 Modelling and dynamical systems 6 Credits
MA20223 Partial differential equations and continuum mechanics 6 Credits
MA20225 Probability 2B 6 Credits
MA20227 Statistics 2B 6 Credits
Optional Units: Select a minimum of 0 and a maximum of 1 units from the following list:
Students selecting PH10006 should have A-Level Physics, and should study the material on waves from PH10005, to be provided in a Moodle course, over the summer.
CM10195 Computer systems architecture 2 6 Credits
CM20218 Foundations of computation 2 6 Credits
MN10248 Introduction to accounting 6 Credits
MN10500 Corporate finance for managers 6 Credits
PH10006 Electricity & magnetism 6 Credits

Year 3

Click here for further information NFAAR-UG assessment regulations:
  • Placement Type: Standard.
  • This programme year has a DAP.
  • This is the penultimate stage of the programme.
  • Main assessment regulations: Appendix 23 PDF format -requires Acrobat Reader to view; Supplementary assessment regulations: Appendix 24 PDF format -requires Acrobat Reader to view.
  • Part 2 Stage 3 of this programme contributes 34% towards the final award classification


Academic Year: Part 2 Stage 3
Compulsory Units:
MA30107 Study year abroad (MMath) 60 Credits

Year 4

Click here for further information NFAAR-UG assessment regulations:
  • This programme year has a DAP.
  • Main assessment regulations: Appendix 27 PDF format -requires Acrobat Reader to view; Supplementary assessment regulations: Appendix 28 PDF format -requires Acrobat Reader to view.
  • Part 3 Stage 4 of this programme contributes 50% towards the final award classification

  • Students must take units totalling 60 credits for the year, normally 30 credits each semester. In the combined programme for years 3 and 4 at least 108 of the 120 credits should be at level 3 or higher and at least 60 should be at level 4.
  • Students must check the teaching timeslots (pdf - link opens in new tab) when choosing units. To minimise timetable clashes, no more than one unit should be chosen from each timeslot within the same semester.

Academic Year: Part 3 Stage 4
Optional Units: Select a minimum of 0 and a maximum of 1 units from the following list:
CM30082 Individual project 18 Credits

Semester 1: Part 3 Stage 4
Optional Units: Select a minimum of 4 and a maximum of 5 units from the following list:
CM30070 Computer algebra 6 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
MA30060 Dynamics and chaos 6 Credits
MA30084 Generalised linear models 6 Credits
MA30086 Medical statistics 6 Credits
MA30087 Optimisation methods of operational research 6 Credits
MA30125 Markov processes & applications 6 Credits
MA30237 Group theory 6 Credits
MA40040 Algebraic topology 6 Credits
MA40042 Measure theory & integration 6 Credits
MA40043 Real & abstract analysis 6 Credits
MA40045 Dynamical systems 6 Credits
MA40065 Viscous fluid mechanics 6 Credits
MA40092 Classical statistical inference 6 Credits
MA40117 Project (MMath) 6 Credits
MA40171 Numerical solution of PDEs II 6 Credits
MA40188 Algebraic curves 6 Credits
MA40197 Advanced mathematical biology 6 Credits
MA40233 Topics in pure mathematics 6 Credits
PH30030 Quantum mechanics 6 Credits
PH30031 Simulation techniques 6 Credits
ZZ30001 Director of Studies approved unit 6 Credits

Semester 2: Part 3 Stage 4
Optional Units: Select a minimum of 3 and a maximum of 5 units from the following list:
CM30073 Advanced algorithms & complexity 6 Credits
CM30075 Advanced computer graphics 6 Credits
CM30080 Computer vision 6 Credits
CM30173 Cryptography 6 Credits
CM30226 Logic and semantics of programming languages 6 Credits
MA30055 Introduction to topology 6 Credits
MA30056 Complex analysis 6 Credits
MA30059 Mathematical methods 2 6 Credits
MA30063 Mathematical biology 2 6 Credits
MA30085 Time series 6 Credits
MA30089 Stochastic processes & finance 6 Credits
MA30091 Applied statistics 6 Credits
MA30170 Numerical solution of PDEs I 6 Credits
MA30231 Projective geometry 6 Credits
MA30241 Communicating maths 6 Credits
MA40048 Analytical & geometrical theory of differential equations 6 Credits
MA40049 Elasticity 6 Credits
MA40050 Nonlinear equations & bifurcations 6 Credits
MA40054 Representation theory of finite groups 6 Credits
MA40057 Functional analysis 6 Credits
MA40058 Probability with martingales 6 Credits
MA40061 Nonlinear & optimal control theory 6 Credits
MA40062 Ordinary differential equations 6 Credits
MA40090 Multivariate data analysis 6 Credits
MA40177 Scientific computing 6 Credits
MA40189 Topics in Bayesian statistics 6 Credits
MA40195 Project (MMath) 6 Credits
MA40198 Applied statistical inference 6 Credits
MA40203 Theory of partial differential equations 6 Credits
MA40239 Discrete probability 6 Credits
PH30032 Laser physics 6 Credits
ZZ30004 Director of Studies approved unit 6 Credits

Notes:
* This programme catalogue is applicable for the 2013/14 academic year only. Students continuing their studies into 2014/15 and beyond should not assume that later years of a programme will be in the format displayed here for 2013/14.
* Programmes and units are subject to change at any time, in accordance with normal University procedures.
* Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.