Mathematics

Mathematics is one of the purest and most powerful intellectual disciplines, concerned with the structures, patterns and relationships that underlie all quantitative reasoning. It is a subject built on proof and rigour, where every claim must be established from first principles through logical argument, and where the elegance of a well-constructed proof is considered an aesthetic achievement as much as a logical one. Applied mathematics extends these foundations into modelling the physical and social world, while pure mathematics pursues abstract structures that may have no immediate application but often turn out to be exactly what scientists or engineers need decades later.

At Cardiff University, you will study mathematics over three years full time in a department with strong research activity across pure and applied mathematics, statistics and mathematical physics. Cardiff's School of Mathematics is an active research environment, and undergraduates benefit from studying in a department where faculty are engaged with mathematics at the frontier of the discipline. The typical entry tariff for this programme is around 152 UCAS points.

You will study the foundations of analysis, algebra and calculus before moving into more specialist areas including complex analysis, differential equations, number theory, linear algebra and numerical methods. The opportunity to develop interests in pure or applied directions typically opens up in the later years of the programme, allowing you to concentrate on areas including mathematical physics, fluid dynamics, topology or algebraic structures. Mathematics develops habits of mind that are genuinely transferable: the ability to think clearly under uncertainty, to construct and evaluate arguments, and to represent complex problems in precise formal terms.

Graduates of mathematics degrees from Cardiff and similar institutions work in finance, banking, actuarial science, data science, software development, operational research, statistics, government analytical services, education, academic research and a wide range of other sectors that prize quantitative reasoning. The rigour of a mathematics degree is valued by employers across almost every technical and professional field. Many graduates pursue postgraduate study in mathematics, statistics, financial mathematics, data science or theoretical physics.