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Programme & Unit Catalogues

Department of Mathematical Sciences, Programme Catalogue 2007/08


USMA-AFM15: MMath Mathematics with Study Year Abroad

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
Optional Units: Select 3 Unit(s) from the following list:
CM10194 Systems architecture 1 6 Credits
CM20019 Computation III: introduction to formal logic & semantics 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 accounting & finance (Elec Eng / Maths) 6 Credits
PH10002 Properties of matter 6 Credits

Year 2, Semester 2

Mandatory 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:
CM10195 Systems architecture 2 6 Credits
CM20001 Foundations of computer graphics 6 Credits
MA20013 Mathematical modelling & fluids 6 Credits
MA20014 Numerical analysis 6 Credits
MA20035 Statistical inference 2 6 Credits
MA20036 Stochastic processes 6 Credits
MN20310 Empirical research methods in finance 6 Credits
PH10004 Dynamics, relativity & gravity 6 Credits

Year 3, Academic Year

Mandatory 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 1 Unit(s) from the following list:
AA00021 Choose nothing from this list of options 0 Credits
CM30082 Triple module project 18 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 4 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
MA40037 Galois theory 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
PH40069 Thermal physics 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 3 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
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
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
ZZ30004 Director of Studies approved unit 6 Credits