入学要求 Requirement：
学术要求： At least a 2:2 degree in mathematics or a subject with a high mathematics content.
英语要求：• IELTS: 6.5 (min 6 in all areas)
• TOEFL Paper test: 580 (TWE 4.5)
• TOEFL Internet test: 92 (R20, L20, S20, W20)
学费 Tuition Fee：2011/2012 £12,650
课程特征 Course Features：
This course provides a thorough grounding in modern numerical analysis, keeping in mind a balance between the theoretical and the practical.
The practical aspects of the subject are emphasised by providing intensive instruction in those areas of numerical analysis useful in industry and of which the academic staff, through their applied research and consultative activities, have specialist knowledge.
The course differs from those at other universities in that it covers a wider spectrum of numerical methods. The computational aspects of these methods are emphasised by the introduction of more laboratory work into the course. The modelling addresses diverse topics from science, engineering and finance.
课程内容 Course Content ：
Modules (all core)
Computational Methods
Main topics of study include: LaTeX2e: the notion of a mark-up language, document style and structure, mathematical typesetting, cross-referencing; MATLAB programming: data types and structures, arithmetic operations, functions, input and output, interface programming, graphics; implementation of numerical methods such as: Galerkin method, 2d-diffusion, 2d-heat equation, 2d-obstacle, American and European options, penalty methods, boundary element Galerkin method for integral equations of the first kind; uniform meshes, structured meshes, error estimators, adaptive versions, preconditioners.
Numerical and Variational Methods for PDEs
Main topics of study include: calculus of variations; finite element methods for elliptic problems; an abstract overview of the finite element procedure including Galerkin orthogonality and best approximation in the energy norm; error analysis for the finite element method; numerical methods for time-dependent problems; advanced techniques of the finite element method.
Stochastic Models and Mathematical Finance
Main topics of study include: stochastic processes; random walk; Markov chains; Poisson process and its relatives; economic and probability background; mathematical finance in discrete time; Brownian motion; mathematical finance in continuous time.
Methods of Mathematical Modelling
Main topics of study include: principles of modelling; methods of analysing models; examples of models; boundary integral methods; integral equations.
Dissertation
The dissertation has a long-established tradition in Numerical Analysis research and the specialist interests of staff are often reflected in the dissertation topics undertaken. However our students are also permitted to suggest their own dissertation topics. Examples from recent years include:
•Fluid sloshing in an axisymmetric container
•Heat loss from buildings
•Contrived chaos in the numerical solution of dynamical systems
教学与评估 Teaching and Assessment：
Assessment is by a combination of coursework and examination. Examinations are held in May. The dissertation is of a practical nature and related to the focus of the course. Each student working on their dissertation will have a university supervisor and, in some cases, an industrial supervisor as well.