Pure Mathematics, BSc (Hons)

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Course Overview

Mathematics underpins all contemporary science, business and technology, creatively applying the ideas of pure mathematics.

Our three-year BSc degree in Pure Mathematics covers the fundamental mathematical concepts of real and complex analysis, geometry, and linear, abstract and categorical algebra. It allows you to focus your studies on pure aspects of the subject.

Your learning will be shaped by inspirational and internationally-renowned academics including Prof Tomasz Brzezinski, Professor of Mathematics and expert in algebra and non-commutative geometry, and Prof Elaine Crooks, Professor of Mathematics, expert in analysis and partial differential equations.

Find out about our Mathematics Scholarships

Why Pure Mathematics at Swansea?

  • 3rd in the UK for Student Satisfaction (Complete University Guide 2025)
  • 7th in the UK (Guardian University 2025)

  • 13th in the UK for Teaching Quality (Guardian University 2025)

  • Top 201-250 in the world (QS World University Rankings 2025)

 

Your Pure Mathematics Experience

  • 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.
  • You will master the ideas and logic of mathematics and their applications and acquire a highly desirable set of transferable skills that will set you apart in the employment marketplace.
  • You will receive high-quality personalised support through small-group tutorials.
  • Elected student representatives make sure that every student voice is heard.
  • The Swansea University Mathematics student society sponsors frequent social and academic events to bring students and staff together.
  • Our Mathematics Department is right next to the beautiful Swansea Bay beachfront, with numerous social and sport opportunities.
  • Our peer mentoring scheme helps new students settle into university and make new friends.
  • The new £32.5M Computational Foundry building at our Bay Campus gives students access to bespoke study and teaching spaces designed by and for mathematicians.
  • Our Mathematics Reading Room provides a quiet study space for mathematics students, as well as housing a departmental library of resources for study and research.

Pure Mathematics Employment Opportunities

Mathematics graduates typically earn salaries 50% higher than the average graduate. Mathematicians are highly sought after in lucrative industries such as the actuarial profession, the financial sector, technology and systems administration Our graduates have recently gained employment at organisations including AXA, British Airways, Deutsche Bank, Shell Research, Health Authorities and Local Government.

What our students say about Mathematics at Swansea

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Modules

You will study the following compulsory modules and select from a choice of optional modules over the course of your degree. As you progress through your course you will have more flexibility to study more of the topics that interest you, culminating, in your final year with a 30-credit project module, studying an area of Mathematics of your choosing.

Pure Mathematics, BSc (Hons)

Pure Mathematics with a Year Abroad, BSc (Hons)

Pure Mathematics with a Year in Industry, BSc (Hons)