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Department of Mathematical Sciences, Programme Catalogue 2009/10


TSMA-APM09: MSc Mathematical Sciences

Leading to the award of MASTER OF SCIENCE IN MATHEMATICAL SCIENCES

Mode of attendance: Part-time


Year 1
It is suggested that students take 5 units during each year of this programme but more flexibility may be permitted at the discretion of the Director of Studies.

Semester 1

Optional Units: Select between 0 and 5 Unit(s) from the following list: LIST A1
List A1: Students must take at least 8 units from the union of lists A1 and A2 over the duration of this programme.
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
MA40125 Markov processes & applications 6 Credits
MA40171 Numerical solution of PDEs II 6 Credits
MA40197 Mathematical modelling in ecology, evolution and epidemiology 6 Credits
MA50046 Linear control theory 6 Credits
MA50084 Generalised linear models 6 Credits
MA50087 Optimisation methods of operational research 6 Credits
MA50092 Classical statistical inference 6 Credits
MA50174 Advanced numerical methods 6 Credits
MA50178 Numerical linear algebra 6 Credits
MA50179 Mathematical biology 1 6 Credits
MA50181 Mathematical methods 1 6 Credits
MA50182 Metric spaces 6 Credits
MA50183 Specialist reading course 6 Credits
MA50190 Advanced mathematical methods 6 Credits
Optional Units: Select between 0 and 2 Unit(s) from the following list: LIST B1
List B1: You may not choose a unit with the same title as one already selected from List A1.
AA00001 Choose nothing from this list of options 0 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
ZZ30001 Director of Studies approved unit 6 Credits

Semester 2

Optional Units: Select between 0 and 5 Unit(s) from the following list: LIST A2
List A2: Students must take at least 8 units from the union of lists A1 and A2 over the duration of this programme.
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
MA40198 Statistics for biological dynamic modelling 6 Credits
MA40203 Theory of partial differential equations 6 Credits
MA50059 Mathematical methods 2 6 Credits
MA50063 Mathematical biology 2 6 Credits
MA50085 Time series 6 Credits
MA50089 Applied probability & finance 6 Credits
MA50170 Numerical solution of PDEs I 6 Credits
MA50176 Methods & applications 1: case studies in mathematical modelling and industrial mathematics 6 Credits
MA50186 Complex analysis 6 Credits
MA50199 Topic review in mathematical biology 6 Credits
MA50200 Topic review in applied mathematics 6 Credits
MA50215 Specialist reading course 6 Credits
Optional Units: Select between 0 and 3 Unit(s) from the following list: LIST B2
List B2: You may not choose a unit with the same title as one already selected from List A2.
AA00011 Choose nothing from this list of options 0 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
ZZ30004 Director of Studies approved unit 6 Credits

Year 2
It is suggested that students take 5 units during each year of this programme but more flexibility may be permitted at the discretion of the Director of Studies.

Semester 1

Optional Units: Select between 0 and 5 Unit(s) from the following list: LIST A1
List A1: Students must take at least 8 units from the union of lists A1 and A2 over the duration of this programme.
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
MA40125 Markov processes & applications 6 Credits
MA40171 Numerical solution of PDEs II 6 Credits
MA40197 Mathematical modelling in ecology, evolution and epidemiology 6 Credits
MA50046 Linear control theory 6 Credits
MA50084 Generalised linear models 6 Credits
MA50087 Optimisation methods of operational research 6 Credits
MA50092 Classical statistical inference 6 Credits
MA50174 Advanced numerical methods 6 Credits
MA50178 Numerical linear algebra 6 Credits
MA50179 Mathematical biology 1 6 Credits
MA50181 Mathematical methods 1 6 Credits
MA50182 Metric spaces 6 Credits
MA50183 Specialist reading course 6 Credits
MA50190 Advanced mathematical methods 6 Credits
Optional Units: Select between 0 and 2 Unit(s) from the following list: LIST B1
List B1: You may not choose a unit with the same title as one already selected from List A1.
AA00001 Choose nothing from this list of options 0 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
ZZ30001 Director of Studies approved unit 6 Credits

Semester 2

Optional Units: Select between 0 and 5 Unit(s) from the following list: LIST A2
List A2: Students must take at least 8 units from the union of lists A1 and A2 over the duration of this programme.
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
MA40198 Statistics for biological dynamic modelling 6 Credits
MA40203 Theory of partial differential equations 6 Credits
MA50059 Mathematical methods 2 6 Credits
MA50063 Mathematical biology 2 6 Credits
MA50085 Time series 6 Credits
MA50089 Applied probability & finance 6 Credits
MA50170 Numerical solution of PDEs I 6 Credits
MA50176 Methods & applications 1: case studies in mathematical modelling and industrial mathematics 6 Credits
MA50186 Complex analysis 6 Credits
MA50199 Topic review in mathematical biology 6 Credits
MA50200 Topic review in applied mathematics 6 Credits
MA50215 Specialist reading course 6 Credits
Optional Units: Select between 0 and 3 Unit(s) from the following list: LIST B2
List B2: You may not choose a unit with the same title as one already selected from List A2.
AA00011 Choose nothing from this list of options 0 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
ZZ30004 Director of Studies approved unit 6 Credits

Dissertation Period

Compulsory Units
MA50187 Project 30 Credits