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Department of Mathematical Sciences, Programme Catalogue 2007/08


USMA-AFM15: MMath Mathematics with Study Year Abroad

Leading to the award of MASTER OF MATHEMATICS

Mode of attendance: Full time


Year 1, Semester 1: Part 1 Stage 1

Compulsory 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: Part 1 Stage 1

Compulsory 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

Compulsory units
MA20007 Analysis: Real numbers, real sequences & series 6 Credits
MA20008 Algebra 1 6 Credits
Optional Units: Select 3 Unit(s) 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 Systems architecture 1 6 Credits
CM20217 Foundations of computation 1 6 Credits
MA20009 Ordinary differential equations & control 6 Credits
MA20010 Vector calculus & partial differential equations 6 Credits
MA20033 Statistical inference 1 6 Credits
MA20034 Probability & random processes 6 Credits
MN10248 Introduction to business accounting 6 Credits
PH10002 Properties of matter 6 Credits
PH20013 Quantum & atomic physics 6 Credits

Year 2, Semester 2

Compulsory units
MA20011 Analysis: Real-valued functions of a real variable 6 Credits
MA20012 Algebra 2 6 Credits
Optional Units: Select 3 Unit(s) 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 Systems architecture 2 6 Credits
CM20218 Foundations of computation 2 6 Credits
MA20013 Mathematical modelling & fluids 6 Credits
MA20014 Numerical analysis 6 Credits
MA20035 Statistical inference 2 6 Credits
MA20036 Stochastic processes 6 Credits
MN10069 Introduction to business accounting 6 Credits
MN20310 Empirical research methods in finance 6 Credits
PH10006 Electricity & magnetism 6 Credits

Year 3, Academic Year

Compulsory units
MA30107 Study year abroad (MMath) 60 Credits

Year 4, Academic Year

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 48 of the 120 credits should be at level 3 and at least 60 should be at level 4.
Optional Units: Select between 0 and 2 Unit(s) from the following list:
AA00021 Choose nothing from this list of options 0 Credits
CM30082 Triple module project 18 Credits
MN30380 Financial markets 12 Credits

Year 4, Semester 1

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 48 of the 120 credits should be at level 3 and at least 60 should be at level 4.
Optional Units: Select between 3 and 5 Unit(s) from the following list:
CM30070 Computer algebra 6 Credits
CM30142 Music & digital signal processing 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
MA30084 Generalised linear models 6 Credits
MA30086 Medical statistics 6 Credits
MA30087 Optimisation methods of operational research 6 Credits
MA30092 Classical statistical inference 6 Credits
MA30204 Algebraic structures 6 Credits
MA40038 Advanced 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
MA40048 Analytical & geometric theory of differential equations 6 Credits
MA40065 Viscous fluid mechanics 6 Credits
MA40117 Project (MMath) 6 Credits
MA40125 Markov processes & applications 6 Credits
MA40171 Numerical solution of PDEs II 6 Credits
MA40197 Mathematical modelling in ecology, evolution and epidemiology 6 Credits
PH30030 Quantum mechanics 6 Credits
PH30031 Simulation techniques 6 Credits
ZZ30001 Director of Studies approved unit 6 Credits

Year 4, Semester 2

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 48 of the 120 credits should be at level 3 and at least 60 should be at level 4.
Optional Units: Select between 2 and 5 Unit(s) from the following list:
CM30071 Logic & its applications 6 Credits
CM30073 Advanced algorithms & complexity 6 Credits
CM30075 Advanced computer graphics 6 Credits
CM30080 Computer vision 6 Credits
CM30173 Cryptography 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 Applied probability & finance 6 Credits
MA30091 Applied statistics 6 Credits
MA30170 Numerical solution of PDEs I 6 Credits
MA30172 Conjecture & proof 6 Credits
MA40037 Galois theory 6 Credits
MA40049 Linear elasticity 6 Credits
MA40050 Nonlinear equations & bifurcations 6 Credits
MA40054 Representation theory of finite groups 6 Credits
MA40057 Functional analysis 6 Credits
MA40058 Martingale theory 6 Credits
MA40061 Nonlinear & optimal control theory 6 Credits
MA40062 Ordinary differential equations 6 Credits
MA40090 Multivariate analysis 6 Credits
MA40188 Algebraic curves 6 Credits
MA40189 Topics in Bayesian statistics 6 Credits
MA40195 Project (MMath) 6 Credits
MA40198 Statistics for biological dynamic modelling 6 Credits
MA40203 Theory of partial differential equations 6 Credits
PH30032 Laser physics 6 Credits
ZZ30004 Director of Studies approved unit 6 Credits