Mathematics with a Year in Europe

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.

Your third year is spent on exchange abroad at a leading European institution. The fourth year consists of mostly optional modules, in addition to an Advanced Research Project in Mathematics.

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

The third year is spent in a leading European university, and students have previously studied at:

• ENSIMAG, Grenoble, France
• ENS Lyon, France
• EPFL, Lausanne, Switzerland
• Humboldt Berlin, Germany
• ETH Zurich, Germany
• UAM, Madrid, Spain

In the fourth year you will study six modules plus the Advanced Research Project in Mathematics, weighted to the value of 2 modules. Below are examples of some of the areas you will be able to choose from:

• Algebraic number
• Analytic number
• Bifurcation
• Complex systems
• Economic
• Ergodic
• Galois
• Group/ Group representation
• Number/ Elliptic Curves
• Probability
• Statistical
• Theory of Distributions

• Analytic Methods in Partial Differential Equations
• Mathematical Physics
• Quantitative Methods in Retail Finance

• Algebra
• Computation
• Fluid dynamics
• Functional analysis
• Geometry
• Mathematical biology
• Mathematical physics
• Statistics