Year 1
In your first year, we will help you to make the step up to university level study and give you a sound mathematical basis in a broad range of subject areas. Alongside core calculus and algebra, other modules develop discrete mathematics, mechanics, pure mathematics, statistics and computational mathematics. our 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.
Algebra & Combinatorics 1 - 20 credits
Mathematical Modelling & Problem Solving - 10 credits
Mathematical Workshops (Autumn) - 10 credits
Mathematical Workshops (Spring) - 10 credits
Mechanics - 10 credits
Probability & Statistics - 10 credits
Real Analysis - 20 credits
Sequences and Series - 10 credits
Vectors, Geometry & Linear Algebra - 20 credits
Year 2
The second year will introduce you to more advanced areas allowing you to develop particular strengths or interests. You can decide at the end of this year whether to continue onto the BSc or MSci programme. As an MSci student, you will take at least one module involving project work.
Core modules
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
Optional modules
Choose 40 credits of options. Example optional modules:
Algebra & Combinatorics 2 - 20 credits
Differential Equations - 20 credits
Statistics - 20 credits
Year 3
The choice of modules in the third year is very broad, ranging from the highly abstract such as topology, to the highly applicable such as financial mathematics. You will now be able to specialise in one area of mathematics or cover several different areas. You will take at least one module involving project work.
Core modules
Research Skills in Mathematics - 20 credits
Optional modules
Choose 100 credits, subject to timetabling restrictions and necessary pre-requisites. All modules 20 credits, examples of optional modules listed below.
Advanced Mathematical Modelling
Algebra & Combinatorics 2
Algebraic and Differential Topology
Applied Mathematical Analysis
Applied Statistics
Combinatorics and Communication Theory
Continuum Mechanics
Differential Equations
Electromagnetism
Functional and Fourier Analysis
Graph Theory
Group Theory
Integer Programming and Combinatorial Optimisation
Mathematical Finance
Medical Statistics
Methods in Partial Differential Equations
Metric Spaces and Topology
Nonlinear Programming I and Heuristic Optimisation
Numerical Methods and Numerical Linear Algebra
Number Theory
Quantum Mechanics
Randomness and Computation
Statistical Methods in Economics
Statistics
Year 4
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.
Core Module
Project in Mathematics - 40 credits
Optional modules
Choose 80 credits, subject to timetabling restrictions and necessary pre-requisites. All modules 20 credits, examples of optional modules listed below:
Advanced Management Mathematics
Applied Mathematical Analysis
Advanced Mathemat Modelling
Advanced Mathematical Biology
Advanced Mathematical Finance
Advanced Topics in Algebra
Advanced Topics in Analysis
Advanced Topics in Combinatoric
Algebraic and Differential Topology
Applied Statistics
Combinatorics and Communication Theory
Continuum Mechanics
Game Theory and Multicriteria Decision Making
Graph Theory
Group Theory
Integer Programming and Combinatorial Optimisation
Medical Statistics
Methods in Partial Differential Equations
Nonlinear Programming I and Heuristic Optimisation
Nonlinear Waves
Number Theory
Numerical Methods and Numerical Linear Algebra
Randomness and Computation
Stochastic Processes
Topics in Applied Mathematics
Statistical Methods in Finance and Economics
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 2023. 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.
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