Department of Mathematical Sciences, Programme Catalogue 2007/08 |
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: |
| 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 |
| 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 |
| MN30380 | Financial markets | 12 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 between 4 and 5 Unit(s) from the following list: |
| CM20019 | Computation III: introduction to formal logic & semantics | 6 Credits |
| CM20145 | Database systems | 6 Credits |
| CM20167 | Programming III: functional programming | 6 Credits |
| 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 |
| MA40043 | Real & abstract analysis | 6 Credits |
| MA40065 | Viscous fluid mechanics | 6 Credits |
| MA40125 | Markov processes & applications | 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 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 between 3 and 5 Unit(s) from the following list: |
| CM20001 | Foundations of computer graphics | 6 Credits |
| CM20028 | Computation IV: Algorithms | 6 Credits |
| CM20029 | Compilers | 6 Credits |
| CM20168 | Programming IV: programming languages | 6 Credits |
| 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 |
| 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 |
| ZZ30004 | Director of Studies approved unit | 6 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 |