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Department of Mathematical Sciences, Programme Catalogue 2015/16


TSMA-APM09: MSc Mathematical Sciences

Leading to the award of MASTER OF SCIENCE IN MATHEMATICAL SCIENCES

Mode of attendance: Part-time


Year 1

Follow this link for further information on the NFAAR NFAAR-PGT assessment regulations: assessment regulations for students commencing study from 2011/12 onwards (students who commenced prior to 2011/12 should consult their programme handbook for their assessment regulations):
  • This programme has the following designated alternative programme (DAP):
  • Assessment Regulations: Appendix 11 PDF format -requires Acrobat Reader to view
  • Programme progression requirement: 50%
  • Taught credits: 60; Dissertation/Project credits: 30

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: Taught Units

Optional Units: Select a minimum of 0 and a maximum of 2 units 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.
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
MA30125 Markov processes & applications 6 Credits
MA30237 Group theory 6 Credits
ZZ30001 Director of Studies approved unit 6 Credits
Optional Units: Select a minimum of 0 and a maximum of 5 units 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.
MA40040 Algebraic topology 6 Credits
MA40042 Measure theory & integration 6 Credits
MA40043 Real & abstract analysis 6 Credits
MA40045 Dynamical systems 6 Credits
MA40065 Viscous fluid mechanics 6 Credits
MA40092 Classical statistical inference 6 Credits
MA40171 Numerical solution of evolutionary equations 6 Credits
MA40188 Algebraic curves 6 Credits
MA40197 Advanced mathematical biology 6 Credits
MA40198 Applied statistical inference 6 Credits
MA40233 Topics in pure mathematics 6 Credits
MA50039 Differential geometry of curves & surfaces 6 Credits
MA50046 Linear control theory 6 Credits
MA50084 Generalised linear models 6 Credits
MA50087 Optimisation methods of operational research 6 Credits
MA50125 Markov processes & applications 6 Credits
MA50174 Advanced numerical computation 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
MA50205 Advanced mathematical study 1 6 Credits
MA50237 Group theory 6 Credits
MA50251 Applied stochastic differential equations 6 Credits

Semester 2: Taught Units

Optional Units: Select a minimum of 0 and a maximum of 2 units 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.
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 Stochastic processes & finance 6 Credits
MA30091 Applied statistics 6 Credits
MA30170 Numerical solution of elliptic PDEs 6 Credits
MA30231 Projective geometry 6 Credits
MA30245 Graphs and networks: theory and applications 6 Credits
ZZ30004 Director of Studies approved unit 6 Credits
Optional Units: Select a minimum of 0 and a maximum of 5 units 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.
MA40048 Analytical & geometrical theory of differential equations 6 Credits
MA40049 Elasticity 6 Credits
MA40050 Numerical optimisation and large-scale systems 6 Credits
MA40054 Representation theory of finite groups 6 Credits
MA40057 Functional analysis 6 Credits
MA40058 Probability with martingales 6 Credits
MA40061 Nonlinear & optimal control theory 6 Credits
MA40062 Ordinary differential equations 6 Credits
MA40090 Multivariate data analysis 6 Credits
MA40177 Scientific computing 6 Credits
MA40189 Topics in Bayesian statistics 6 Credits
MA40203 Theory of partial differential equations 6 Credits
MA50055 Introduction to topology 6 Credits
MA50059 Mathematical methods 2 6 Credits
MA50063 Mathematical biology 2 6 Credits
MA50085 Time series 6 Credits
MA50089 Stochastic processes & finance 6 Credits
MA50170 Numerical solution of elliptic PDEs 6 Credits
MA50176 Case studies in mathematical modelling and industrial mathematics 6 Credits
MA50186 Complex analysis 6 Credits
MA50200 Project scoping 6 Credits
MA50206 Advanced mathematical study 2 6 Credits
MA50215 Specialist reading course 6 Credits
MA50231 Projective geometry 6 Credits

Year 2

Follow this link for further information on the NFAAR NFAAR-PGT assessment regulations: assessment regulations for students commencing study from 2011/12 onwards (students who commenced prior to 2011/12 should consult their programme handbook for their assessment regulations):
  • This programme has the following designated alternative programme (DAP):
  • Assessment Regulations: Appendix 11 PDF format -requires Acrobat Reader to view
  • Programme progression requirement: 50%
  • Taught credits: 60; Dissertation/Project credits: 30

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: Taught Units

Optional Units: Select a minimum of 0 and a maximum of 2 units 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.
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
MA30125 Markov processes & applications 6 Credits
MA30237 Group theory 6 Credits
ZZ30001 Director of Studies approved unit 6 Credits
Optional Units: Select a minimum of 0 and a maximum of 5 units 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.
MA40040 Algebraic topology 6 Credits
MA40042 Measure theory & integration 6 Credits
MA40043 Real & abstract analysis 6 Credits
MA40045 Dynamical systems 6 Credits
MA40065 Viscous fluid mechanics 6 Credits
MA40092 Classical statistical inference 6 Credits
MA40171 Numerical solution of evolutionary equations 6 Credits
MA40188 Algebraic curves 6 Credits
MA40197 Advanced mathematical biology 6 Credits
MA40198 Applied statistical inference 6 Credits
MA40233 Topics in pure mathematics 6 Credits
MA50039 Differential geometry of curves & surfaces 6 Credits
MA50046 Linear control theory 6 Credits
MA50084 Generalised linear models 6 Credits
MA50087 Optimisation methods of operational research 6 Credits
MA50125 Markov processes & applications 6 Credits
MA50174 Advanced numerical computation 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
MA50205 Advanced mathematical study 1 6 Credits
MA50237 Group theory 6 Credits
MA50251 Applied stochastic differential equations 6 Credits

Semester 2: Taught Units

Optional Units: Select a minimum of 0 and a maximum of 2 units 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.
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 Stochastic processes & finance 6 Credits
MA30091 Applied statistics 6 Credits
MA30170 Numerical solution of elliptic PDEs 6 Credits
MA30231 Projective geometry 6 Credits
MA30245 Graphs and networks: theory and applications 6 Credits
ZZ30004 Director of Studies approved unit 6 Credits
Optional Units: Select a minimum of 0 and a maximum of 5 units 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.
MA40048 Analytical & geometrical theory of differential equations 6 Credits
MA40049 Elasticity 6 Credits
MA40050 Numerical optimisation and large-scale systems 6 Credits
MA40054 Representation theory of finite groups 6 Credits
MA40057 Functional analysis 6 Credits
MA40058 Probability with martingales 6 Credits
MA40061 Nonlinear & optimal control theory 6 Credits
MA40062 Ordinary differential equations 6 Credits
MA40090 Multivariate data analysis 6 Credits
MA40177 Scientific computing 6 Credits
MA40189 Topics in Bayesian statistics 6 Credits
MA40203 Theory of partial differential equations 6 Credits
MA50055 Introduction to topology 6 Credits
MA50059 Mathematical methods 2 6 Credits
MA50063 Mathematical biology 2 6 Credits
MA50085 Time series 6 Credits
MA50089 Stochastic processes & finance 6 Credits
MA50170 Numerical solution of elliptic PDEs 6 Credits
MA50176 Case studies in mathematical modelling and industrial mathematics 6 Credits
MA50186 Complex analysis 6 Credits
MA50200 Project scoping 6 Credits
MA50206 Advanced mathematical study 2 6 Credits
MA50215 Specialist reading course 6 Credits
MA50231 Projective geometry 6 Credits

Dissertation Period: Project/Dissertation Units

Compulsory Units:
MA50187 Project 30 Credits

Notes:
* Programmes and units may be changed at any time, in accordance with normal University procedures.
* This programme catalogue is applicable for all years of study for the 2015/16 academic year only. Students continuing their studies into 2016/17 and beyond should not assume that this programme, or its component units, will be delivered in future years in the format displayed here.
* NFAAR assessment regulations are subject to regular review and update. Links given here will provide access to the latest versions of NFAAR documentation. The regulations described in this documentation may not necessarily be those which applied in previous academic years. For detailed information on how the NFAAR was applied to this programme in previous academic years, please contact the relevant Director of Studies.
* Availability of units is subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.