Mathematics MSci
  • Undergraduate
  • MSci

Mathematics

Deepen your understanding of mathematics and enrich your studies on an optional year abroad

  • Undergraduate
  • MSci

Mathematics with a Year Abroad

Deepen your understanding of mathematics and enrich your studies on an optional year abroad

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

Choose from over 50 specialised modules and deepen your knowledge in the areas that most appeal to you

Enrich your study of mathematics with an integrated year of Master’s level study, or a year abroad at a leading global university

How would you like to study?

Study option:

Course key facts

  • Qualification

    • MSci

  • Duration

    4 years

  • Start date

    October 2023

  • UCAS course code

    G103

  • Study mode

    Full-time

  • Fees

    • £9,250 Home

    • £36,700 Overseas

  • Delivered by

  • Location

    • South Kensington

  • Applications: places

    14 : 1 (2021)

Minimum entry standard 2023

  • A*A*A (A-level)

  • 39 points (International Baccalaureate)

View full entry requirements
  • Qualification

    • MSci

  • Duration

    4 years

  • Start date

    October 2023

  • UCAS course code

    G104

  • Study mode

    Full-time

  • Fees

    • £9,250 Home

    • £36,700 Overseas

  • Delivered by

  • Location

    • South Kensington

  • Applications: places

    14 : 1 (2021)

Minimum entry standard 2023

  • A*A*A (A-level)

  • 39 points (International Baccalaureate)

View full entry requirements

Study option:

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 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.

This course will enable you to develop a broad understanding of mathematical theory and application, while also providing opportunities to deepen your knowledge in the mathematical areas that most appeal to you.

You will be able to select from over 50 specialised modules, many of which are linked to our cutting-edge research and led by pre-eminent experts in their fields.

The MSci Mathematics course builds on the BSc with an integrated year taught at Master's level, in which you complete advanced modules and a research project.

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 course aims to present you with a wide range of mathematical ideas in a way that develops your critical and intellectual abilities.

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.

This course will enable you to develop a broad understanding of mathematical theory and application, while also providing opportunities to deepen your knowledge in the mathematical areas that most appeal to you.

You will be able to select from over 50 specialised modules, many of which are linked to our cutting-edge research and led by pre-eminent experts in their fields.

You also have the chance to complete an integrated year abroad during your third year at one of our partner universities, where you can challenge yourself in a different academic and cultural environment. You will then return to Imperial to complete your studies during your fourth and final year.

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.

Study option:

Structure

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.

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

Core modules

In your second year, you will study five core modules.

You will also select four 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 to study the areas that are most interesting to you.

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

The following 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.

Optional modules

In your fourth year, you will complete a compulsory mathematics research project.

You will also complete six optional modules.

 

Optional modules

  • Advanced Dynamical Systems
  • Algebra 4
  • Analytic Methods in Partial Differential Equations
  • Differential Topology
  • Hydrodynamic Stability
  • Infinite Groups
  • Modular Representation Theory
  • Random Dynamical Systems and Ergodic Theory
  • Stochastic Differential Equations
  • Vortex Dynamics

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. Modules from other departments may be allowed with permission.

In your first year, you will study seven core modules, in addition to language classes if required.

Core modules

In your second year, you will study five core modules.

You will also select four 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

The third year consists of an agreed programme of study at an approved university in either France, Germany, Spain, Switzerland or the USA.

We currently have exchange agreements with:

  • University of Grenoble, France
  • Humboldt University, Germany
  • Autonomous University of Madrid, Spain
  • EPF Lausanne, Switzerland
  • ETH Zurich, Switzerland
  • MIT, USA


This is an integrated year abroad so the grades you achieve will count directly towards your Imperial degree.

In your fourth year, you will complete a compulsory mathematics research project.

You will also complete six optional  modules.

 

 

Optional modules

  • Advanced Dynamical Systems
  • Algebra 4
  • Analytic Methods in Partial Differential Equations
  • Differential Topology
  • Hydrodynamic Stability
  • Infinite Groups
  • Modular Representation Theory
  • Random Dynamical Systems and Ergodic Theory
  • Stochastic Differential Equations
  • Vortex Dynamics

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. Modules from other departments may be allowed with permission.

Study option:

Teaching and assessment

Balance of teaching and learning

Key

  • 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

Year 4

  • 12% Lectures, seminars and similar
  • 88% Independent study

Teaching and learning methods

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

Balance of assessment

Key

  • Coursework
  • Examinations

Year 1

  • 30% Coursework
  • 70% Examinations

Year 2

  • 20% Coursework
  • 80% Examinations

Year 3

  • 10% Coursework
  • 90% Examinations

Year 4

  • 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

Balance of teaching and learning

Key

  • 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 4

  • 12% Lectures, seminars and similar
  • 88% Independent study

Teaching and learning methods

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

Balance of assessment

Key

  • Coursework
  • Examinations

Year 1

  • 30% Coursework
  • 70% Examinations

Year 2

  • 20% Coursework
  • 80% Examinations

Year 4

  • 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

Study option:

Entry requirements

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

Study option:

How to apply

Apply via UCAS

You can start your application via UCAS Hub. There you can add this course as one of your choices and track your application.

Applications for 2023 entry are closed

Application deadlines — 25 January 2023 at 18.00 (UK time)

Applications for 2023 entry are closed

Application deadlines — 25 January 2023 at 18.00 (UK time)

Tuition fees

Home fee

2023 entry

£9,250 per year

Year in Europe

2023 entry

£1,385 for that year

Overseas fee

2023 entry

£36,700 per year

Year in Europe

2023 entry

100% of the fee for that year

Your future career

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.

Man standing under a sign pointing different directions

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

Course data

Compare this course

Compare this course

Terms and conditions

There are some important pieces of information you should be aware of when applying to Imperial. These include key information about your tuition fees, funding, visas, accommodation and more.

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