Students will take between one and three first-year modules in mathematics. There is one core compulsory module, 'Mathematics', that can be studied in either semester.
- Mathematics: introduces ideas, methods and techniques required for applying mathematics in the physical sciences or for further study in mathematics.
Students who do not possess at least a B at Advanced Higher or A-Level Mathematics will need to take Introductory Mathematics in their first semester before taking the compulsory Mathematics module. This option is popular for students on different degree routes who wish to study Mathematics.
- Introductory Mathematics: designed for students who do not meet the entry requirements for the first-year Mathematics module. Provides a secure base in elementary calculus.
First year students interested in Mathematics can also choose modules in Statistics, and in Pure and Applied Mathematics. Find a full list of first year Mathematics modules in the module catalogue.
Students will take the following compulsory modules in their second year:
- Abstract Algebra: explores the key concepts of modern abstract algebra: groups, rings and fields.
- Analysis: introduces key concepts of real analysis: limit, continuity and differentiation
- Combinatorics and Probability: introduces counting techniques for finite structures, and the behaviour of random variables.
- Linear Mathematics: builds on existing knowledge of matrices and systems of linear equations.
- Mathematical Modelling: investigates the translation of physical problems into mathematics.
- Multivariate Calculus: extends basic calculus in a single variable to the setting of real functions of several variables.
- Statistical Inference: introduces techniques for drawing inferences about population characteristics from observed data.
- Vector Calculus: introduces the theory of scalar and vector fields and associated techniques for the modelling of problems arising in the physical world.
If you decide to take Mathematics in your final three years, you choose from a wide variety of advanced options, including modules in complex analysis, differential equations, symbolic computation, asymptotic methods and sampling theory.
Here is a sample of Honours modules which have been offered in previous years:
- Computing in Mathematics
- Dynamical Systems
- Financial Mathematics
- Numerical Analysis
- Solar Theory.
In fifth year, you will be able to take Masters-level modules. In the past, these have included:
- Advanced Analytical Techniques
- Advanced Computational Techniques
- Advanced Fluid Dynamics
- Mathematical Biology.
In your final year, you also undertake an advanced project on a topic chosen in consultation with the teaching staff at the School of Mathematics and Statistics. You will be required to investigate the topic in some depth, submit a report and give a presentation.