MSc in Applied Mathematics (Programme code 02250172)

Admission requirements

An appropriate BScHons degree with a weighted average of at least 60% at honours level. In the selection procedure the candidate’s complete undergraduate and honours academic record will be considered. It is strongly recommended that Measure and integration theory, Functional analysis, Partial differential equations, and Numerical analysis are included at honours level.

Admission is subject to the availibility of a suitable supervisor.

The final approval is granted by the Faculty Postgraduate Committee.

Duration

Subject to other faculty regulations, a student must complete his or her masters studies within two years after first registering for the degree.

Programme composition

The programme consists of two mandatory non-credit bearing master’s coursework modules and a dissertation (180 credits).

Modules: Two "WTW" Master's modules (mandatory, non-credit bearing)

Dissertation: TWS 890 Dissertation: Applied Mathematics 890 (180 credits)

Total credits required: 180

A concept article for a reputable journal or conference must be submitted during the research period.

Masters modules

Please take note of the prerequisites for each module.

The availability of modules and the semester of presentation will be communicated at the start of the academic year.

Module code	Module name	Prerequisites
WTW 812	Convergence spaces 812	Topology, Measure Theory and Functional Analysis on Honours level.
WTW 836	Homogenisation of partial differential equations 836	Functional Analysis, Measure Theory, Partial Differential Equations on Honours level.
WTW 840	Special functions and approximation theory 840	Complex Analysis on 3rd-year level; Advanced Calculus and Ordinary Differential Equations (ODEs)
WTW 846	Stochastic partial differential equations 846	Functional Analysis, Measure Theory, Partial Differential Equations on Honours level. Knowledge of Probability Theory is advised but not required.
WTW 850	Mathematical epidemiology 850	Dynamical Systems, Ordinary Differential Equations (ODEs).
WTW 851	Introduction to categories and sheaves 851	Algebra on 3rd-year and Honours levels.
WTW 855	Lattice theory 855	Algebra on 3rd-year level.
WTW 863	Finite element analysis 863	Finite Element Method and one of Functional Analysis/Main principles (WTW 735) on Honours level.
WTW 865	Graph theory 865	Discrete Structures on 3rd-year level.
WTW 866	Hyperbolic systems of partial differential equations 866	Partial Differential Equations on third-year and Honours level; Advanced Calculus and Linear Algebra.
WTW 869	Differential geometry 869	Linear Algebra, Differential and Integral Calculus, Partial Differential Equations on Honours level.
WTW 880	Sobolev spaces 880	Measure Theory, Differential Equations and Functional Analysis on Honours level.
WTW 881	Abstract analysis 881	Measure Theory and Functional Analysis on Honours level.
WTW 884	Advanced measure theory 884	Measure Theory and Functional Analysis on Honours level.
WTW 887	Dynamical systems 887	Functional Analysis or Main Principles (WTW 735), Partial Differential Equations and Finite Element Method, all on Honours level.
WTW 888	Special topics in mathematics 888	Depends on the particular topic.
Dissertation (180 credits)
TWS 890	Dissertation: Applied Mathematics 890

Total credits required: 180

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