Mathematics with Mathematical Computation

Modules shown are for the current academic year, and are subject to change depending on your year of entry.

You will follow a pathway of core modules in the first year, before moving on to a combination of core and optional modules in the second year, and a complete choice of optional modules in the third year.

Most of the components are lecture modules that are examined primarily by written papers in the summer term. Others are examined wholly by submission of projects.

You will complete a practical module on computation running through the first year of the course, currently using specialist software such as Maple and Matlab, and you will be primarily examined by project.

Towards the end of the first year, you will complete an individual poster project, whose subject can be chosen from a range of topics suggested by a series of inspirational lectures. All posters are exhibited together and you will explain your work to circulating staff and students, obtaining credit for both content and exposition.

All modules, computation and the project must normally be passed for progression to the second year.

• Algebra I
• Analysis I
• Foundations of Analysis
• Geometry and Linear Algebra
• Individual Poster Project
• Mathematical Computation
• Mathematical Methods I
• Mathematical Methods II
• Mechanics
• Probability and Statistics I

You will choose one optional module in addition to seven core modules.

After examinations in the third term, you will complete a group project involving both written and oral elements.

All modules and the project must normally be passed for progression to the third year.

• Algebra II
• Complex Analysis
• Differential Equations
• Group Project
• Introduction to Numerical Analysis
• Multivariable Calculus
• Probability and Statistics II
• Real Analysis

• Metric Spaces and Topology
• Non-linear waves
• Statistical Modelling

In the third year you have a complete choice of optional modules, with no core modules.

A large selection of modules is available, and you will choose eight, including the four modules from the 'required' list below.

• Computational Partial Differential Equations I
• Introduction to High Performance Computing
• Numerical Solution of Ordinary Differential Equations
• Scientific Computation

You have the opportunity to complete an advanced research project in mathematics, which can be counted as one of your required modules for Mathematical Computation.

That means you can substitute a choice from the required modules to do the project, or take the project in addition to all four mathematical computation choices.

You will have the choice of general mathematics modules too, and the below list provides a guide as to the areas offered:

• Algebra
• Asymptotic Analysis
• Computational
• Fluid Dynamics
• Functional Analysis
• Galois Theory
• Geometry of Curves and Surfaces
• Group Theory
• Mechanics
• Methods of Mathematical Physics
• Number Theory
• Partial Differential Equations
• Probability Theory
• Quantum Mechanics
• Theory of Complex Systems