University of York

What you'll study

This joint honours programme brings together core mathematics with philosophical study, emphasising logic, foundations and the application of formal methods to conceptual problems. In mathematics you can expect courses in calculus and analysis, linear algebra, algebra and number theory, probability and statistics, and topics from applied mathematics such as differential equations and numerical methods. Modules progressively develop from foundational first‑year material to more specialised third‑year options such as real analysis, group theory, measure and integration, stochastic processes, or mathematical modelling.

Philosophy teaching covers general areas of the discipline alongside modules closely related to mathematics: formal logic, philosophy of mathematics, epistemology, metaphysics, ethics and history of analytic philosophy. You will study propositional and predicate logic, modal and set‑theoretic techniques, and the philosophical interpretation of mathematical practice.

The course structure mixes lectures, small seminar groups and problem classes in mathematics, and seminars and tutorials in philosophy. Assessment typically combines examinations, coursework, problem sets and essays. Third‑year options enable you to specialise further and undertake an extended project or dissertation that can be technical (mathematical) or philosophical, or on a topic that crosses both disciplines.

Entry requirements

Typical applicants will have strong achievement in mathematics at secondary level; this programme normally requires A‑level mathematics (or an equivalent qualification) plus a further A‑level or equivalent in another subject. Offers are made on the basis of evidence of mathematical ability and academic potential; applicants without standard A‑levels (for example international qualifications or access courses) are considered on their merits, with comparable preparation in mathematics expected.

Applicants are expected to demonstrate ability in written communication and critical thinking. Some familiarity with basic logical concepts can be helpful but is not normally required. Mature applicants and those with non‑standard backgrounds should provide full details of prior study and may be invited to interview or to submit written work.

Career prospects

Graduates from this programme leave with a blend of quantitative, analytical and communication skills valued across many sectors. Career destinations commonly include finance and banking, actuarial work, data analysis and data science, software development, management consulting and public policy. The strong training in argumentation and conceptual analysis is also excellent preparation for legal training and postgraduate study in philosophy, mathematics or interdisciplinary fields such as logic and computation.

Employers prize the ability to combine rigorous mathematical reasoning with clear written and verbal argument. Many students progress to professional training schemes, research degrees, or roles where problem‑solving, modelling and clear explanation are important. The university’s careers service and departmental links help with placements, internships and graduate recruitment.

Why study at University of York

The University of York brings the strengths of two well‑established departments: a mathematics department offering broad coverage of pure and applied areas and a philosophy department known for analytic and logical approaches. Teaching emphasises small‑group learning alongside lecture courses, so you get both personalised support and exposure to current research.

Students benefit from access to computing facilities for mathematical work, library collections covering history and contemporary philosophy, and active departmental communities including mathematics and philosophy societies. Interdisciplinary supervision is available for projects spanning both subjects, allowing you to pursue research questions at the interface of formal methods and philosophical theory.

The programme is designed to keep options open: whether you aim for a numerate career, further academic study, or vocations that demand clear reasoning and quantitative skills, the degree provides a balanced and flexible foundation.