Mathematics MSci

Year 1

Your first year is carefully designed to manage the step up from school to university mathematics, focusing on the key ideas you will need later in the programme.

• Real Analysis - 20 credits
• Algebra & Combinatorics 1 - 20 credits
• Sequences and Series - 10 credits
• Vectors, Geometry & Linear Algebra - 20 credits
• Probability & Statistics - 10 credits
• Mechanics - 10 credits
• Mathematical Modelling & Problem Solving - 10 credits
• Mathematical Workshops A - 10 credits
• Mathematical Workshops B - 10 credits

As well as having some choice of modules, you will now be introduced to some of the more advanced areas of mathematics, allowing you to develop your particular strengths and interests in the third year. You will make the choice whether to take the BSc or MSci at the end of this year.

• Linear Algebra & Linear Programming - 20 credits
• Mathematics in Industry - 10 credits
• Multivariable & Vector Analysis - 20 credits
• Numerical Methods & Programming - 10 credits
• Real & Complex Analysis - 20 credits

Choose 40 credits of options. Example optional modules:

• Algebra & Combinatorics 2 - 20 credits
• Differential Equations - 20 credits
• Statistics - 20 credits

You will now be able to specialise in one area of mathematics or cover several different areas. The range of modules to choose from is very wide. MSci students take at least one module involving project work.

• Research Skills in Mathematics - 20 credits

Choose 100 credits, subject to timetabling restrictions and necessary pre-requisites. All modules 20 credits, examples of optional modules listed below.

• Nonlinear Programming I and Heuristic Optimisation
• Applied Statistics
• Integer Programming and Combinatorial Optimisation
• Continuum Mechanics
• Methods in Partial Differential Equations
• Metric Spaces and Topology
• Mathematical Finance
• Number Theory
• Randomness and Computation
• Advanced Mathematical Modelling
• Differential Equations
• Combinatorics and Communication Theory
• Graph Theory
• Group Theory
• Algebra & Combinatorics 2
• Medical Statistics
• Statistical Methods in Economics
• Statistics
• Applied Mathematical Analysis
• Numerical Methods and Numerical Linear Algebra
• Functional and Fourier Analysis

You can now reach the cutting-edge of mathematics, choosing dedicated fourth-year modules that reflect staff research interests. Classes are often small and highly interactive. Perhaps the most exciting aspect of the MSci is the project, worth one third of your final-year mark. Here you will work individually, guided by a supervisor, on a project of your choice, allowing you to experience the challenge and pleasure of mathematical research. The process of working independently on a major project, writing a substantial report and presenting your work to others develops skills highly valued by employers.

• Project in Mathematics - 40 credits

Choose 80 credits, subject to timetabling restrictions and necessary pre-requisites. All modules 20 credits, examples of optional modules listed below.

• Advanced Mathematical Modelling
• Advanced Topics in Algebra
• Advanced Topics in Combinatorics
• Applied Statistics
• Continuum Mechanics
• Graph Theory
• Integer Programming and Combinatorial Optimisation
• Advanced Mathematical Finance
• Methods in Partial Differential Equations
• Nonlinear Programming and Heuristic Optimisation
• Number Theory
• Reaction-Diffusion Theory
• Applied Mathematics Analysis
• Advanced Topics in Analysis
• Algebraic and Differential Topology
• Combinatorics and Communication Theory
• Game Theory and Multicriteria Decision Making
• Group Theory and Galois Theory A & B
• Medical Statistics
• Nonlinear Waves
• Numerical Methods and Numerical Linear Algebra
• Statistical Methods Economics - 20 credits

Please note: The modules listed on the website for this programme are regularly reviewed to ensure they are up-to-date and informed by the latest research and teaching methods. Unless indicated otherwise, the modules listed for this programme are for students starting in 2020. On rare occasions, we may need to make unexpected changes to core modules; in this event we will contact offer holders as soon as possible to inform or consult them as appropriate.