Mathematics Project or Mini Projects
This unit gives you an opportunity to apply your mathematical knowledge to a major piece of independent work and develop your critical analysis. You normally select project choices from a list of project descriptions produced by academics and your project coordinator will allocate a suitable supervisor and a project description to you. You must develop your project description, which tend to be generic and indicative in content, into a Terms of Reference. You will specify aims, objectives, methodology and timetable for completion and this must be approved by your supervisor.
This unit provides you with the opportunity to apply your mathematical knowledge to a set of four mathematical topics and present your results. The mini projects are offered as an alternative to the individual mathematics project unit and provides you with a more structured means of developing similar skills, such as the ability to break down unfamiliar problems and to be aware of the limitations of the analyses that you undertake.
This unit provides an introduction to group theory and a thorough investigation of the basic theory of groups and their isomorphisms, the classification of Abelian groups, the Sylow theorems and the classification of groups of low order.
Financial Mathematics and Time Series Analysis
This unit gives a firm grounding in many aspects of financial mathematics and time series analysis, introducing a range of modelling techniques and applying them to data commonly found in the real world.
Digital Communications and Sound Processing
This unit covers topics such as the use of mathematics in discrete information theory and mathematical modelling of communication network performance. It also covers an introduction to the theory and practise of manipulating digital sounds.
Applied Regression and Multivariate Analysis
This unit extends your knowledge of statistical techniques and deepens your understanding of statistical modelling by introducing a range of models which may be fitted to data commonly encountered in the real world.
Advanced Operational Research
This unit covers topics such as selected elements from inventory control, job-shop scheduling, correctness proofs for scheduling algorithms, dynamic programming, non-linear optimisation, mathematical programming formulations, advanced simulation and algorithm theory.
Numerical Methods for Partial Differential Equations
The unit provides an introduction to numerical techniques for solving partial differential equations and the application to fluid flow problems. It covers the background and theory of finite difference and finite volume methods.
Computational Methods in Ordinary Differential Equations
The unit covers a broad range of computational methods for the solution of stiff and non-stiff systems of ODEs, together with the related computational linear algebra with an emphasis on the efficiency of methods and their applications.
Dynamical Systems and Chaos
This unit extends your knowledge of mathematical modelling and deepens your understanding of dynamical systems theory with applications using MATLAB. It covers the following areas: recurrence relations and iteration, fractals, neuronal systems, ordinary differential equations in one, two and three-dimensions, bifurcations and numerical integration in non-smooth dynamical systems and MATLAB and Simulink.