Mathematics

Gain a range of transferable skills in mathematical modelling, analysis and computation for employment in industry and research

Key information

Duration: 1 year full-time, 2 years part-time
Start date: October 2023
Location: South Kensington
ECTS: 90 credits
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Overview

The course trains you in different areas of applied mathematics, equipping you with a range of mathematical, modelling and presentation skills for problem-solving and research.

This course is delivered in small classes, with a broad choice modules from the foundational to highly specialised, allowing you to tailor the course to your interests and background.

You will also have the opportunity to complete an independent research project under the supervision of an academic researcher, tackling state-of-the-art problems across applied mathematics.

Study programme

The taught element begins in the autumn term, continuing into the spring term.

You are assessed through coursework during term time and exams in May and June. The taught courses cover a wide range of topics in applied mathematics. You can see range of choices you will have below.

You will also undertake independent work on a written project after agreeing a topic with a supervisor towards the end of the first term. You will begin work on your project in the second term, with most of the project being completed during the summer.

Careers

The solid training and exposure to cutting-edge activity in applied mathematics provides the necessary background for further postgraduate study in applied mathematics, or closely related areas such as engineering and physics.

The skills you gain from this programme are highly transferable and open up opportunities for a career in industry, such as in the aerospace, petroleum and financial industries.

Structure 

This page reflects the latest version of the curriculum for this year of entry. However, this information is subject to change.

Find out more about the limited circumstances in which we may need to make changes to or in relation to our courses, the type of changes we may make and how we will tell you about changes we have made.

Page last reviewed on 22 October 2021.

Structure

Taught modules

You choose eight taught modules that account for two-thirds of your overall grade. Part-time students choose four modules in the first year and four modules in the second year.

There are no mandatory core modules except the research project, allowing you to design your own learning plan in line with your unique background, interests and the field in which your wish to do your research project. 

  • Mathematical Foundations of Machine Learning
  • Advanced Topics in Partial Differential equations
  • Applied Complex Analysis
  • Asymptotic Methods
  • Bifurcation Theory
  • Classical Dynamics
  • Computational Linear Algebra
  • Computational Partial Differential Equations
  • Dynamical Systems
  • Dynamics of Learning and Iterated Games
  • Finite Elements: Numerical Analysis and Implementation
  • Fluid Dynamics 1
  • Fluid Dynamics 2
  • Function Spaces and Applications
  • Geometric Mechanics
  • Hydrodynamic Stability
  • Introduction to Geophysical Fluid Dynamics
  • Introduction to Stochastic Differential Equations and Diffusion Processes
  • Mathematical Biology
  • Mathematical Finance: An Introduction to Option Pricing
  • Methods for Data Science
  • Numerical Solution of Ordinary Differential Equations
  • Optimisation
  • Quantum Mechanics I
  • Quantum Mechanics II
  • Random Dynamical Systems and Ergodic Theory: Seminar Course
  • Scientific Computation
  • Special Relativity and Electromagnetism
  • Stochastic Differential Equations in Financial Modelling
  • Tensor Calculus and General Relativity
  • Theory of Partial Differential Equations
  • Vortex Dynamics

Research project

You will undertake a research project on state-of-the-art problems in different areas of Applied Mathematics, depending on your interests and background. These can range from theoretical to methodological or theoretical areas.

A list of projects and supervisors is issued in November. You agree a topic with a supervisor towards the end of the first term, and begin working on your project in the second term. The bulk of the project is completed during the summer, with a submission deadline in September.

This gives you the opportunity to demonstrate your ability to synthesise what you have learned over the course. 

You will be assessed on your written thesis (dissertation) and a presentation, followed by questions from two academic members. You will also receive feedback on poster presentations and research proposals during the course.

The research project accounts for one-third of your overall grade.

Teaching and assessment

Teaching methods

  • Group tutorials
  • Independent research project
  • Individual student/lecturer consultations
  • Lectures
  • Problem classes
  • Problem sheets
  • Research seminars

Assessment methods

  • Coursework
  • Dissertation
  • Examination
  • Oral assessment
  • Practical

Entry requirements

We welcome students from all over the world and consider all applicants on an individual basis.

Entry requirements

Minimum academic requirement

Our minimum requirement is a 2.1 degree in mathematics, applied mathematics, engineering or physics.

International qualifications

We also accept a wide variety of international qualifications.

The academic requirement above is for applicants who hold or who are working towards a UK qualification.

For guidance see our Country Index though please note that the standards listed are the minimum for entry to the College, and not specifically this Department.

If you have any questions about admissions and the standard required for the qualification you hold or are currently studying then please contact the relevant admissions team.

English language requirement (all applicants)

All candidates must demonstrate a minimum level of English language proficiency for admission to the College.

For admission to this course, you must achieve the standard College requirement in the appropriate English language qualification. For details of the minimum grades required to achieve this requirement, please see the English language requirements for postgraduate applicants.

Interview

You may be invited to attend an interview with our staff as part of your application.

Details of this will be sent to you following your application.

Competence standards

Our competence standards highlight the core skills students should be able to demonstrate by the end of this course.

View the Department of Mathematics's competence standards [pdf]

We believe in providing the widest practicable access to all of our degree programmes and will make reasonable adjustments wherever possible to support your study. For more information, please contact the Department using the contact details below.

Department of Mathematics

E: mathsmsc@imperial.ac.uk

How to apply

How to apply

Making an application

Apply online

All applicants must apply online.

Visit our Admissions website for details on the application process.

You can submit one application form per year of entry. You can usually choose up to two courses.

Application fee

If you are applying for a taught Master’s course, you will need to pay an application fee before submitting your application.

The fee applies per application and not per course:

  • £80 for all taught Master's applications excluding those to the Imperial College Business School
  • £100 for all MSc applications to the Imperial College Business School
  • £150 for MBA applications to the Imperial College Business School

There is no application fee for MRes courses, Postgraduate Certificates, Postgraduate Diplomas or research courses, such as PhDs and EngDs.

If you are facing financial hardship and are unable to pay the application fee, we encourage you to apply for our application fee waiver. 

Find out more about the application fee and waiver

Second course choice

If you are selecting MSc Applied Mathematics as a second course choice in your application to Imperial, please note we will only consider your application if your first choice course is MSc Pure Mathematics.

ATAS certificate

An ATAS certificate is not required for overseas students applying for this course.

Further questions?

Find answers to your questions about admissions. Answers cover COVID-19, English language requirements, visas and more.

Visit the FAQs

Tuition fees and funding

The level of tuition fees you pay is based on your fee status, which we assess based on UK government legislation.

Find out more about fees and funding opportunities.

Tuition fees

Home rate of tuition

2023 entry

Full-time - £13,000
Part-time - £6,500 per year

Fees are charged by year of entry to the College and not year of study.

Except where otherwise indicated, the fees for students on courses lasting more than one year will increase annually by an amount linked to inflation, including for part-time students on modular programmes. The measure of inflation used will be the Retail Price Index (RPI) value in the April of the calendar year in which the academic session starts e.g. the RPI value in April 2022 will apply to fees for the academic year 2022–2023.

Fee status

Whether you pay the Home fee depends on your fee status.

Your fee status is assessed based on UK Government legislation and includes things like where you live and your nationality or residency status.

Find out more about how we assess your fee status.

EU/EEA/Swiss students

The Government has confirmed that EU/EEA/Swiss students who begin a course before the 31 July 2021 will be eligible to pay the same fee as Home students and have access to student finance for the duration of their course, as long as they meet certain requirements which are unchanged from previous years. This includes students who begin the course remotely.

EU/EEA/Swiss students starting a course on or after 1 August 2021 will no longer be eligible for the Home fee rate and so will be charged the Overseas fee. Please note, we do not expect this to apply to Irish students or students benefitting from Citizens' Rights under the EU Withdrawal Agreement, EEA EFTA Separation Agreement or Swiss Citizens' Rights Agreement respectively. However, we are currently awaiting the formal publication of the amended Fees and Awards regulations.

The UK Council for International Student Affairs (UKCISA) website has useful information on the conditions you currently need to meet to be entitled to pay tuition fees at the Home rate for study on a higher education course in England and reflect the regulations as they currently stand (not the amended regulations which are subject to publication).

Overseas rate of tuition

2023 entry

Full-time - £32,400
Part-time - £16,200 per year

Fees are charged by year of entry to the College and not year of study.

Except where otherwise indicated, the fees for students on courses lasting more than one year will increase annually by an amount linked to inflation, including for part-time students on modular programmes. The measure of inflation used will be the Retail Price Index (RPI) value in the April of the calendar year in which the academic session starts e.g. the RPI value in April 2022 will apply to fees for the academic year 2022–2023.

Fee status

Whether you pay the Overseas fee depends on your fee status.

Your fee status is assessed based on UK Government legislation and includes things like where you live and your nationality or residency status.

Find out more about how we assess your fee status.

EU/EEA/Swiss students

The Government has confirmed that EU/EEA/Swiss students who begin a course before the 31 July 2021 will be eligible to pay the same fee as Home students and have access to student finance for the duration of their course, as long as they meet certain requirements which are unchanged from previous years. This includes students who begin the course remotely.

EU/EEA/Swiss students starting a course on or after 1 August 2021 will no longer be eligible for the Home fee rate and so will be charged the Overseas fee. Please note, we do not expect this to apply to Irish students or students benefitting from Citizens' Rights under the EU Withdrawal Agreement, EEA EFTA Separation Agreement or Swiss Citizens' Rights Agreement respectively. However, we are currently awaiting the formal publication of the amended Fees and Awards regulations.

The UK Council for International Student Affairs (UKCISA) website has useful information on the conditions you currently need to meet to be entitled to pay tuition fees at the Home rate for study on a higher education course in England and reflect the regulations as they currently stand (not the amended regulations which are subject to publication).

Postgraduate Master's loan

If you're a UK national, or EU national with settled or pre-settled status under the EU Settlement Scheme, you may be able to apply for a Postgraduate Master’s Loan from the UK government, if you meet certain criteria.

For 2022-23 entry, the maximum amount is £11,836. The loan is not means-tested and you can choose whether to put it towards your tuition fees or living costs.

Scholarships

We offer a range of scholarships for postgraduate students to support you through your studies.

See what opportunities you may be eligible for:

Accommodation and living costs

Living costs, including accommodation, are not included in your tuition fees.

You can compare costs across our different accommodation options on our Accommodation website.

A rough guide to what you might expect to spend to live in reasonable comfort in London is available on our Fees and Funding website.

Further information

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