This course aims to present you with a wide range of mathematical ideas in a way that develops your critical and intellectual abilities. You'll develop a broad understanding of mathematical theory and application and deepen your knowledge in areas that appeal to you. You will engage with concepts that are both a direct continuation of those at A-level, and others that introduce you to new ways of thinking. Your studies will cover the key areas of mathematics such as algebra, analysis, probability and statistics. You'll also explore topics such as the logical structure of arguments, the proper definition of mathematical objects, the design of sophisticated mathematical models, and the legitimacy of computations. As part of the Pure Mathematics specialisation, you will examine a variety of relevant concepts including Algebraic Number Theory, Functional Analysis, Topology and Probability Theory. You will also have the opportunity to choose from over 50 specialised modules – many of which are linked to our cutting-edge research and led by pre-eminent experts in their fields. As a graduate in mathematics, you'll possess a set of logical and analytical skills that are highly valued by employers, enabling you to pursue opportunities across the commercial, government and education sectors.
A level: A*A*A | Must include: • A* in Mathematics • A* in Further Mathematics* • A in a third subject General Studies and Critical Thinking are not accepted. If you are made an offer you will be required to achieve a pass in the practical endorsement in all science subjects that form part of the offer. *We are able to make special cases for students who are from schools that do not offer Further Mathematics A-level, and encourage applications from them. Please see the admissions course page for more information. | International Baccalaureate Diploma Programme: 39 UCAS points | Must include: 7 in Mathematics at higher level 6 in another subject at higher level *Mathematics Analysis and Approaches or the Applications and Interpretation syllabi will be accepted at higher level, but Analysis and Approaches is preferred. | Cambridge International Pre-U Certificate - Principal: D2D2D3 | Must include: D2 in Mathematics D2 in Further Mathematics
Score above refers to overall score. Additionally, a score of 5.0 is required in all bands. Imperial will continue to accept old TOEFL iBT taken before 21 January 2026. Our requirement is 100 overall with 22 in all bands. Results must be within 2 years of course start date in order to be valid. For pre-2015 test, the College requires grade B overall. If your test result is 2016 onwards, the College requires 185 overall with 176 in all elements/bands Score above refers to overall score. Additionally, a score of 6.5 is required in all bands. Results must be within 2 years of course start date in order to be valid. Score above refers to overall score. Additionally, a score of 62 is required in all bands. Results must be within 2 years of course start date in order to be valid.
We recommend reviewing our course page for the latest information regarding the curriculum (including core and optional modules) and course structure, as this information may be subject to periodic change.
*Please note that home fees can be subject to government changes. Tuition fees at the overseas chargeable rate for 2027 entry are still to be confirmed. Tuition fee rates at overseas chargeable rate for 2026 entry are published at www.imperial.ac.uk on our course listings, which provide an indicative cost, noting that fees are likely to be subject to increases in line with inflation as per the Retail Price Index (RPIX) value. For further information on fees, funding, loans and grants, see: https://www.imperial.ac.uk/study/fees-and-funding/undergraduate/ For further information on fee status eligibility see: https://www.imperial.ac.uk/study/fees-and-funding/tuition-fees/fee-status/ — Fees update for 2027
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