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:
- Linear Mathematics: builds on existing knowledge of matrices and systems of linear equations.
- Analysis: introduces key concepts of real analysis: limit, continuity and differentiation.
- Multivariate Calculus: extends basic calculus in a single variable to the setting of real functions of several variables.
- Combinatorics and Probability: covers combinatorics and finite sets and also the study of probability.
- Abstract Algebra: explores the key concepts of modern abstract algebra: groups, rings and fields.
- Vector Calculus: examines the fundamental techniques that are used throughout the mathematical modelling of problems arising in the physical world such as grad, div and curl.
- Mathematical Modelling: investigates the translation of physical problems into mathematics.
- Statistical Inference: introduces mathematical models of randomness.
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
- Financial Mathematics
- Solar Theory
- Dynamical Systems
- Numerical Analysis.
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, students also undertake an advanced project in Mathematics on a topic of their choice. You will be required to investigate the topic in some depth, submit a report and give a presentation.