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 University | Catalogues for 2006/07

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Department of Mathematical Sciences


USMA-AFM14: MMath Mathematics

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:
CM10017 Systems I: architecture & operating systems 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:
CM10020 Computation II: computability & decidability 6 Credits
CM10138 Systems II: programming & C 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, 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 5 Unit(s) from the following list:
CM20019 Computation III: introduction to formal logic & semantics 6 Credits
CM20145 Applications I: database systems 6 Credits
CM20167 Programming III: functional programming 6 Credits
CM30075 Advanced computer graphics 6 Credits
CM30076 Project preparation 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
MA40043 Real & abstract analysis 6 Credits
MA40065 Viscous fluid mechanics 6 Credits
MA40125 Markov processes & applications 6 Credits
PH30031 Simulation techniques 6 Credits
PH40069 Thermal physics 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. 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 5 Unit(s) from the following list:
CM20001 Foundations of computer graphics 6 Credits
CM20028 Computation IV: Algorithms 6 Credits
CM20029 Applications IV: compilers 6 Credits
CM20168 Programming IV: programming languages 6 Credits
CM30071 Logic & its applications 6 Credits
CM30073 Advanced algorithms & complexity 6 Credits
CM30080 Computer vision 6 Credits
CM30082 Double module project 12 Credits
CM30142 Music & digital signal processing 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
MA30128 Project 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
MA40062 Ordinary differential equations 6 Credits
MA40090 Multivariate analysis 6 Credits
MA40188 Algebraic curves 6 Credits
MA40189 Topics in Bayesian statistics 6 Credits
PH30030 Quantum mechanics 6 Credits
ZZ30004 Director of Studies approved unit 6 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 5 Unit(s) from the following list:
CM30075 Advanced computer graphics 6 Credits
CM30076 Project preparation 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
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 5 Unit(s) from the following list:
CM30071 Logic & its applications 6 Credits
CM30073 Advanced algorithms & complexity 6 Credits
CM30080 Computer vision 6 Credits
CM30082 Double module project 12 Credits
CM30142 Music & digital signal processing 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
PH30030 Quantum mechanics 6 Credits
ZZ30004 Director of Studies approved unit 6 Credits

 

University | Catalogues for 2006/07