Pure Mathematics
  • Undergraduate
  • BSc

Mathematics (Pure Mathematics)

Develop a broad understanding of mathematical theory and gain in-depth knowledge of pure mathematics.

Engage with mathematical ideas that will develop your critical and intellectual abilities and introduce new ways of thinking

Develop a broad understanding of mathematical theory, concepts and applications

Gain in-depth knowledge of pure mathematics, algebraic number theory, functional analysis, topology and probability

Showing course information for 2025 View 2024 course information

Course key facts

  • Qualification

    • BSc

  • Duration

    3 years

  • Start date

    October 2025

  • UCAS course code


  • Study mode


  • Fees

    • Not set Home

    • Not set Overseas

  • Delivered by

  • Location

    • South Kensington

  • Applications: places

    11 : 1 (2023)

Minimum entry standard

  • A*A*A (A-level)

  • 39 points (International Baccalaureate)

View full entry requirements

Course overview

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.


This page is updated regularly to reflect the latest version of the curriculum. However, this information is subject to change.

Find out more about potential course changes.

Please note: it may not always be possible to take specific combinations of modules due to timetabling conflicts. For confirmation, please check with the relevant department.

In your first year, you will study the following core modules.

Core modules

In your second year, you will study seven core modules, including the i-Explore module.

You will also select two optional modules.

Optional modules may be prerequisites for modules in later years. You will be advised about such dependencies before making your choices.


Core modules

Optional modules

In your third year, you will be able to access a large selection of optional modules, including those specifically required for your stream of study.

You will choose at least five modules from Group A to graduate with a Pure Mathematics degree.

In addition, you will be able to choose a further three or four modules, depending on the number of ECTS credits awarded. This may include Group B modules, modules available in Year 2, and at most one offered by other departments.

Group A

  • Algebra 3
  • Algebraic Combinatorics
  • Algebraic Number Theory
  • Algebraic Topology
  • Functional Analysis
  • Galois Theory
  • Geometric Complex Analysis
  • Group Representation Theory
  • Group Theory
  • Markov Processes
  • Mathematical Logic
  • Number Theory
  • Probability Theory

Group B

Group B modules are a number of examples of optional modules you may choose from in addition to the required modules (above) for this specialist degree.

  • Advanced Topics in Partial Differential Equations
  • Applied Complex Analysis
  • Applied Probability
  • Asymptotic Methods
  • Bifurcation Theory
  • Communicating Mathematics
  • Computational Linear Algebra
  • Computational Partial Differential Equations
  • Consumer Credit Risk Modelling
  • Dynamical Systems
  • Dynamics of Games and Learning
  • Finite Elements: Numerical Analysis and Implementation
  • Fluid Dynamics 1
  • Fluid Dynamics 2
  • Function Spaces and Applications
  • High Performance Computing
  • Introduction to Geophysical Fluid Dynamics
  • Mathematical Biology
  • Mathematical Finance: An Introduction to Option Pricing
  • Mathematics of Business and Economics
  • Mathematics Research Project
  • Methods for Data Science
  • Numerical Solutions of Ordinary Differential Equations
  • Quantum Mechanics 1
  • Quantum Mechanics 2
  • Scientific Computing
  • Special Relativity and Electromagnetism
  • Statistical Modelling 2
  • Statistical Theory
  • Stochastic Simulation
  • Survival Models
  • Tensor Calculus and General Relativity
  • Theory of Complex Systems
  • Time Series Analysis

The list gives you an idea of the optional modules that you may be able to choose from, not the exact modules that will be offered. You may only take the same module once, even if offered in different years and at different levels.

Teaching and assessment

Balance of teaching and learning


  • Lectures, seminars and similar
  • Independent study

Year 1

  • 22% Lectures, seminars and similar
  • 78% Independent study

Year 2

  • 20% Lectures, seminars and similar
  • 80% Independent study

Year 3

  • 16% Lectures, seminars and similar
  • 84% Independent study

Teaching and learning methods

  • A person studying independently
    Independent learning
  • A group of people interacting
    Group learning
  • Person at lectern giving speech
  • Four students sitting in a tutorial
  • Person participating in classroom discussion.
    Problem solving
  • Individual research project
    Research projects

Balance of assessment


  • Coursework
  • Examinations

Year 1

  • 30% Coursework
  • 70% Examinations

Year 2

  • 20% Coursework
  • 80% Examinations

Year 3

  • 10% Coursework
  • 90% Examinations

Assessment methods

  • Group assignments and projects
  • Person completing coursework
    Individual projects
  • Online tests and quizzes
  • Oral presentations
  • Poster project
    Poster presentations
  • Short, individual tests
  • A person completing a written exam
    Written examinations

Entry requirements

We consider all applicants on an individual basis, welcoming students from all over the world.

How to apply

Apply via UCAS

When applications open, you will be able to start your application via UCAS Hub. There you can add this course as one of your choices and track your application.

Start your application via UCAS | G125

UCAS institution code: I50

Application deadlines – 29 January 2025 at 18.00 (UK time)

Tuition fees

Home fee

2025 entry

Not set
As a guide, the Home fee for 2024–25 was £9,250 per year

Overseas fee

2025 entry

Not set
As a guide, the Overseas fee for 2024–25 was £39,100 per year

How will studying at Imperial help my career?

94% Of Imperial Mathematics graduates in work or further study*

  • 94% Of Imperial Mathematics graduates in work or further study*
  • 6%

85% Of Imperial Mathematics graduates in highly skilled work or further study*

  • 85% Of Imperial Mathematics graduates in highly skilled work or further study*
  • 15%

*2021-22 graduate outcomes data, published by HESA in 2024

Person in a bubble surrounded by 4 skills

Gain transferable skills relevant to a career in industry, government and academia.

Lightbulb above a book

With specialised knowledge, you'll be highly sought after in a range of sectors.

Laptop displays finance statistics

International banking, computing, business, law and accountancy are just some of your options.

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Other potential career paths could include financial services and healthcare technology.

Course data

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Terms and conditions

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Read our terms and conditions

You can find further information about your course, including degree classifications, regulations, progression and awards in the programme specification for your course.

Programme specifications