Mathematics

If you love the beauty, precision, complexity and simplicity of mathematics, and like being challenged, then the Mathematics degree at Swansea University is the course for you.

Mathematics at Swansea University is a highly regarded degree which draws students from far and wide. Your learning will be shaped by inspirational and internationally-renowned academics who have expertise in a range of topics in pure and applied mathematics.

Our staff are experts in their areas of mathematics with the majority being recognized by the Higher Education Academy with a Fellowship or Senior Fellowship. Your learning will be shaped by inspirational and internationally-renowned academics with expertise in a range of topics in pure and applied mathematics.

Within our Mathematics Department, we build community through targeted support and social connection. There is an active mathematics student society (SUMSOC), which organises regular events for both staff and students, this encourages synergy between groups.

We also facilitate a sense of community and belonging by organising regular employability events, where external speakers will come to speak to you in our Reading Room. We encourage these enriching activities to ensure that you develop both professional networks and friendships, creating a supportive environment long before graduating.

This programme includes opportunities to undertake a Year Abroad, spent in locations such as the USA, Canada, China, Hong Kong, or Singapore, enhancing your learning and offering invaluable life experience.

This course also offers you the opportunity to spend a Year in Industry, in the UK or overseas, enabling you to gain valuable workplace experience. The University advocates for paid-only placements, which on average have a salary of over £20,000. Unpaid placements are considered on a case-by-case basis.

This programme is also available as a 4-year MMath, which is an advanced undergraduate degree, adding a further research-focused year to your degree. Our MMath leads to a master’s level qualification, in addition to your undergraduate degree, giving you expert scientific training and a springboard towards a range of specialist careers.

In Year 1, you will typically study areas including: Mathematical and Computational Methods; Analytical Methods in Mathematics; Foundations of Algebra and Vector Spaces and Linear Algebra.

In Year 2, you will typically study areas including: Differential Equations; Probability Theory; Multi-variable analysis; Metric spaces and measure theory; Groups and Rings; Game Theory and Optimization and Statistical Data Analysis.

In Year 3, you will typically study areas including: Complex Analysis; Topology; Cashflows and Interest Rates; Financial Mathematics in Discrete Time; Markov Processes and Applications; Dynamical Systems; Numerics of ODEs and PDEs; Machine Learning; Risk and Survival Models and Lie Theory.

In Year 4, you will typically study areas including: Project; Assurance and Annuity; Financial Mathematics in Continuous Time.

You will be taught through a combination of lectures, tutor-led tutorials and regular (non-assessed) coursework. The final year modules are more student-centred, to reflect a progression in teaching methods appropriate to the subjects taught. Throughout, the learner is encouraged to undertake independent reading both to supplement and consolidate what is being taught/learnt and to broaden knowledge and understanding of the subject. You will be assessed through a combination of unseen written examinations, set assignments, presentations and a dissertation.