Mathematics, MMath (Hons), with study abroad

Mathematics stands as the most universal discipline, a global language with ancient roots that is essential in our data-driven era. The five-year MMath Mathematics with a Year Abroad program at Swansea University, delivered in the state-of-the-art £31m Computational Foundry, equips students with advanced facilities for teaching, research, and professional networking. Accredited by the Institute of Mathematics and its Applications, the course spans pure, applied, and financial mathematics, fostering skills in logical reasoning, data analysis, and communication. Graduates often pursue high-earning careers in actuarial science, finance, IT, and industry, with earning potential 50% above average.The program includes a third-year abroad at partner institutions, offering cultural immersion and language development. Modules progress from foundational topics like calculus and algebra in Year 1, to advanced areas such as differential equations and stochastic processes in later years, culminating in a final-year project. Assessment combines exams, assignments, presentations, and a dissertation, emphasizing independent learning and practical application.

In Year 1, you will typically have the opportunity to study areas including: applied statistics; classical mechanics (of particles); computational methods (with Matlab); geometry; introductory calculus; introductory analysis; foundations of algebra; introductory linear algebra; methods of algebra and calculus. In Year 2, you will typically have the opportunity to study areas including: advanced geometry; classical mechanics (of rigid bodies); game theory and optimization; groups and rings; numerical methods (with Matlab); probability; real analysis and metric spaces; vector calculus and measure theory; further methods of algebra and calculus; vector spaces. Year 3, you will spend at one of our partner institutions abroad. This is a marvellous opportunity to experience a different culture and, depending on the destination, to develop valuable language skills. In Year 4, you will typically have the opportunity to study areas including: higher algebra; numerical analysis; analytical dynamics; applied algebra: coding theory; biomathematics; complex variables; differential geometry; financial mathematics; stochastic processes; partial differential equations; functional analysis; and teaching mathematics via a school placement. In Year 5, you will typically have the opportunity to study areas including: partial differential equations; differential geometry; applied algebra: coding theory; numerical analysis; analytical dynamics; stochastic processes; financial mathematics; Black-Scholes Theory; biomathematics; functional analysis; Itô calculus and stochastic differential equations. You will also undertake a project.