BSc Mathematics

First year

Eight lecture courses are available, each of half-unit weighting. Currently, these are as follows:

• Analysis I
• Algebra I
• Foundations of Analysis
• Geometry and Linear Algebra
• Mathematical Methods I
• Mathematical Methods II
• Mechanics
• Probability and Statistics I

There is a practical course on Computation running through the first year programme, currently using Maple and Matlab. This is examined primarily 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 then exhibited together and you will explain your work to circulating staff and students, obtaining credit both for content and exposition.

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

Second year

There are currently 10 examined courses, of which you take eight. Seven courses are compulsory:

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

You then choose one course from the following options:

• Non-linear Waves
• Metric Spaces and Topology
• Statistical Modelling I

After examinations in the third term there is a group project that involves written and oral elements. The groups and the project allocation are arranged by the Department.

All courses and the project must normally be passed for progression to the third year of the programme.

Third and fourth year

A large selection of courses is available, each of half-unit weighting. These are in the areas of pure mathematics, mathematical physics, applied mathematics, mathematical methods, numerical analysis and statistics.

Some project courses and non-mathematical options from outside the Department are also available.

Humanities

• Philosophy I
• Controversies and Ethical Dilemmas in Science and Technology
• European History: 1870 – 1989
• Politics
• History of Science
• Global History of Twentieth Century Things
• History of Medicine
• Music and Western Civilisation
• Communicating Science: The Public and the Media
• Humanities Essay
• Creative Writing
• Music Technology
• Philosophies of Science: Theory, Society and Communications

Business School

• Finance and Financial Management
• Innovation Management
• Managerial Economics

A key feature of our third and fourth year courses is flexibility. Some students remain broad in their interests, while others prefer to specialise. This is subject to timetabling restrictions and departmental approval. We provide a wide choice of courses so that our students have a range of options in which to specialise.

Below is the list of third and fourth year courses running in 2012-2013. Please note: not all course modules are offered at every session and the list described here is subject to change. Courses marked *are available at both third and fourth year.

Applied mathematics/mathematical physics/numerical analysis

Fluids:

• Fluid Dynamics I *
• Fluid Dynamics II *
• Introduction to Geophysical Fluid Dynamics *
• Hydrodynamic Stability
• Vortex Dynamics
• Asymptotic Analysis *

Dynamics:

• Dynamical Systems *
• Chaos and Fractals *
• Bifurcation Theory *
• Ergodic Theory: Seminar Course
• Advanced Dynamical Systems: Seminar Course
• Geometric Mechanics I: Dynamics and Symmetry *
• Geometric Mechanics II: Rotating, Translating and Rolling *
• Integrable Systems

Finance:

• Mathematical Finance *

Biology:

• Mathematical Biology I: Molecular Topology and Stereochemistry *
• Mathematical Biology of the Cell *

Mathematical physics:

• Mathematical Physics I: Quantum Mechanics *
• Special Relativity and Electromagnetism *
• Tensor Calculus and General Relativity *
• Partial Differential Equations *
• Methods of Mathematical Physics *
• Mathematical Physics II: Statistical Mechanics
• Applied Stochastic Processes

Numerical analysis/computation:

• Numerical Solution of Ordinary Differential Equations *
• Computational Partial Differential Equations I *
• Scientific Computation *

Pure mathematics

Analysis:

• Probability *
• Functional Analysis *
• Fourier Analysis and Theory of Distributions *
• Measure and Integration *
• Analytic Methods in Partial Differential Equations
• Stochastic Filtering
• Introduction to Infinite Dimensional Analysis

Geometry:

• Geometry of Curves and Surfaces *
• Geometry I: Algebraic Curves *
• Geometry II: Algebraic Topology *
• Computational Algebra and Geometry *
• Riemannian Geometry
• Manifolds
• Differential Topology
• Complex Manifolds

Algebra and discrete mathematics:

• Algebra III *
• Group Theory *
• Galois Theory *
• Group Representation Theory *
• Algebraic Combinatorics *
• Groups and Representations
• Lie Algebras
• Commutative Algebra

Number theory:

• Number Theory *
• Algebraic Number Theory *
• Analytic Number Theory *
• Number Theory: Elliptic Curves

Statistics

• Statistical Theory I *
• Statistical Modelling II *
• Applied Probability *
• Statistical Pattern Recognition *
• Time Series *
• Stochastic Simulation *
• Games, Risks and Decisions *
• Survival Models and Actuarial Applications *
• Credit Scoring I *
• Credit Scoring II *

As part of the fourth year, students are also expected to undertake a major project and sit a Mastery Examination paper, which consists of advanced topics on fourth year courses.