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Department of Mathematical Sciences, Programme Catalogue 2014/15


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 PDEs II 6 Credits
MA40197 Advanced mathematical biology 6 Credits
MA40233 Topics in pure mathematics 6 Credits
MA40238 Number theory 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
MA50190 Methods for differential equations 6 Credits
MA50205 Advanced mathematical study 1 6 Credits
MA50237 Group theory 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 PDEs I 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.
MA40037 Galois theory 6 Credits
MA40048 Analytical & geometrical theory of differential equations 6 Credits
MA40049 Elasticity 6 Credits
MA40050 Nonlinear equations & bifurcations 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
MA40198 Applied statistical inference 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 PDEs I 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 PDEs II 6 Credits
MA40197 Advanced mathematical biology 6 Credits
MA40233 Topics in pure mathematics 6 Credits
MA40238 Number theory 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
MA50190 Methods for differential equations 6 Credits
MA50205 Advanced mathematical study 1 6 Credits
MA50237 Group theory 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 PDEs I 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.
MA40037 Galois theory 6 Credits
MA40048 Analytical & geometrical theory of differential equations 6 Credits
MA40049 Elasticity 6 Credits
MA40050 Nonlinear equations & bifurcations 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
MA40198 Applied statistical inference 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 PDEs I 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:
* This programme catalogue is applicable for the 2014/15 academic year only. Students continuing their studies into 2015/16 and beyond should not assume that later years of a programme will be in the format displayed here for 2014/15.
* Programmes and units are subject to change at any time, in accordance with normal University procedures.
* Availability of units will be 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.