Pure Mathematics, BSc (Hons), with study abroad

Mathematics stands as the most universal discipline—a global language with ancient origins, now essential in our data-driven society. The BSc in Pure Mathematics at Swansea University enables students to concentrate on pure mathematics while exploring a broad spectrum of topics, including applied mathematics and finance. Delivered in cutting-edge facilities, the program builds skills in logical reasoning, data analysis, and communication, preparing graduates for lucrative careers in actuarial work, finance, IT, and industry, where mathematicians often earn 50% more than average.The three-year course covers core areas like real and complex analysis, algebra, geometry, and differential equations, with optional modules reflecting staff expertise in fields such as probability and topology. Assessment includes exams, coursework, problem sheets, and a final dissertation, fostering hands-on learning and employability. Students receive strong support, and subject requirements permitting, a conditional offer is guaranteed.

The programme consists of an overview of pure mathematics with a mix of compulsory and optional modules. The compulsory modules cover the central topics of real and complex analysis, linear and abstract algebra, geometry, differential equations, and essential skills such as communication and use of mathematical software. Optional modules are available in a range of additional topic areas. The areas covered are those of current relevance in pure mathematics and are reflective of the research interests and specialisms of the academic staff of the department. Optional modules selected in one year may impose constraints on the options available in subsequent years, but the programme is structured so that at each level all students will have a fair selection of options to choose, no matter what they have taken in previous years.