Applications

Applications for Autumn 2025 entry are now open. 

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

You can apply directly to the SCML stream or to the regular Applied Mathematics MSc course and wait until the end of term 1 to confirm your decision. 

Entry to the SCML stream can be limited, depending on aligned project availability.


The course

It has long been recognised that mathematics is the language of science. Applications of mathematics to traditional areas such as physics, chemistry and engineering have been augmented with applications to biology and even the social sciences. Indeed, the aims and scope of applied mathematics has expanded considerably in recent years. Techniques from Applied Mathematics are currently being used to study problems ranging from climate modelling to the study of the dynamics of opinion formation in societies. 

The goal of the MSc in Applied Mathematics is to offer excellent training in modern applied mathematics. The two main components of the MSc are the courses and the project. This course is delivered in small classes, with broad choice modules from the foundational to highly specialised, allowing you to tailor the course to your interests and background.

A new stream on Scientific Computing & Machine Learning (SCML) is now on offer. This stream is for students who want to develop core expertise at the interface between modern computational mathematics and data-driven modelling. Students can register in the SCML stream until before the end of autumn term, when project allocation happens. They must comply with the same ECTS requirements of the programme, with the constraint that they are required to complete at least 4 modules from a subset of 9 aligned modules – Group A. Entry to the SCML stream can be limited based on aligned project availability.

Find out how to apply.

 

Further information

Further information

Course structure

The taught element of the course, beginning in the autumn term and continuing into the spring term, consists of 8 modules and makes up two-thirds of the course. Students on the standard stream can choose from the full list of modules in any combination from Group A and/or Group B.

Entering our SCML stream is a decision that is made either by applying directly to it, or by the end of Term 1, after you have decided on your modules and research project. Entry to the SCML stream can be limited, depending on aligned project availability.

To follow our new SCML stream, you must choose at least 4 out of your 9 modules from Group A. The remaining 4 modules can be in any combination from either Group A and/or Group B.

You are assessed through coursework during term time, and exams in May and June. The taught courses cover a range of topics in applied mathematics, including applied and stochastic analysis, analytical (e.g., complex and asymptotic) methods, numerical analysis and scientific computation, fluid dynamics, mathematical physics, bio-mathematics, data and optimisation methods, and more.

Optional modules: Group A
  • Computational Linear Algebra (MATH70024)
  • Computational Partial Differential Equations (MATH70025)
  • Finite Elements: Numerical Analysis and Implementation (MATH70022)
  • Introduction to Stochastic Differential Equations and Diffusion Processes (MATH70054)
  • Mathematical Foundations of Machine Learning (MATH70134)
  • Methods for Data Science (MATH70026)
  • Computational Dynamical Systems (MATH70023)
  • Optimisation (MATH70005)
  • Scientific Computation (MATH70027)
Optional modules: Group B
  • Advanced Topics in Partial Differential Equations (MATH70021)
  • Analytic Methods for Partial Differential Equations (MATH70135)
  • Applied Complex Analysis (MATH70006)
  • Asymptotic Methods (MATH70004)
  • Bifurcation Theory (MATH70009)
  • Classical Dynamics (MATH70011)
  • Dynamical Systems (MATH70008)
  • Dynamics of Learning and Iterated Games (MATH70007)
  • Fluid Dynamics 1 (MATH70001)
  • Fluid Dynamics 2 (MATH70002)
  • Function Spaces and Applications (MATH70020)
  • Geometric Complex Analysis (MATH70140)
  • Geometric Mechanics (MATH70110)
  • Hydrodynamic Stability (MATH70052)
  • Introduction to Game Theory (MATH70141)
  • Introduction to Geophysical Fluid Dynamics (MATH70003)
  • Markov Processes (MATH70031)
  • Mathematical Biology (MATH70014)
  • Mathematical Biology 2: Systems Biology (MATH70137)
  • Mathematical Finance: An Introduction to Option Pricing (MATH70012)
  • Quantum Mechanics 1 (MATH70015)
  • Quantum Mechanics 2 (MATH70018)
  • Random Dynamical Systems and Ergodic Theory (Seminar Course) (MATH70053) 
  • Rough Paths and Applications to Machine Learning (MATH70138)
  • Spatial Statistics (MATH70139)
  • Special Relativity and Electromagnetism (MATH70016)
  • Stochastic Differential Equations in Financial Modelling (MATH70130)
  • Tensor Calculus and General Relativity (MATH70017)
  • The Mathematics of Business and Economics (MATH70142)
  • Theory of Partial Differential Equations (MATH70019)
  • Vortex Dynamics (MATH70051)
  • Statistical Mechanics (MATH70147)
  • Advanced Dynamical Systems (MATH70146)

Course modules

Students choose eight taught modules by December which align with their project research topic, which they would have chosen in late November. Taught modules account for two-thirds of their overall grade. Part-time students choose four modules in their first-year and four modules in their second-year.

Find out more about the course modules


Project

A very important part of the MSc programme is the MSc project. The MSc students are provided with a list of potential projects and supervisors early in the academic year, and after they express their topic preferences, a project supervisor is assigned before the end of the first term. The MSc students are expected to start preliminary work on their projects early in the second term. The bulk of the work on the project is done during the summer. The MSc project is expected to be quite substantial. In the past, several of the MSc projects have led to publications in scientific journals.


Recommended reading and further information

To find out more about the course, including course handbooks, timetables, information on careers support offered and social events, please see the current student pages.

The part-time option

The part time mode of study follows the same schedule as the full time programme but is completed over 24 months instead of 12. It consists of 8 modules plus a research project. Part time students normally take 4 modules in the first year and 4 in the second, along with the research project.

Each module has 2-3 hours of problem classes each week and these are scheduled between 09:00-18:00 Monday-Friday. The days spent in College is dependent on module selection. Attendance to problem classes is compulsory and the part time mode of study is not suitable for those who are looking for a distance learning course or evening study.

Part time students are examined in the modules taken for that academic year. All exams are held in the summer exam period, including for any modules taken during the autumn term. The exam period is usually during the first few weeks of May. 

Find out more about the course modules. Information can also be found in the course handbook (up to date course handbooks are available on the current MSc students pages).

Careers

A solid training in applied mathematics provides the necessary background for further postgraduate studies (PhD) and for an academic career. An MSc in Applied Mathematics also leads to many career opportunities in industry, for example in the aerospace, petroleum and financial industries. Find out more on the Society for Industrial and Applied Mathematics (SIAM) website.

Scholarships
MSc Women’s Scholarship funded in part by Marjorie McDermott 

The Department of Mathematics offers the Marjorie McDermott’s scholarship to promote our women scholars as well as Imperial College’s commitments to Equality, Diversity, and Inclusivity. For further information visit the MSc Marjorie McDermott Women's Scholarship page.

The Martingale Foundation Scholarship

The Martingale Foundation, offers fully funded postgraduate scholarships in mathematics and related topics at leading UK universities. For further information visit the Martingale Foundation Scholarship page

The India Future Leaders Scholarship

The Imperial College Future Leaders Scholarship will enable outstanding graduates from India to equip themselves with the skills and expertise they need to take the next step in their personal and professional journey. For more information visit the India Future Leaders Scholarship page.

Frequently Asked Questions

Am I eligible to apply for MSc APPLIED MATHEMATICS  course?

Unfortunately, we cannot comment on individual cases and eligibility without seeing a full application. Our MSc in Applied Mathematics accepts applicants with non-mathematics degrees, such as engineering, computer science or physics. However, we expect a high level of quantitative experience, and we look for evidence of sufficient mathematical background.

On our webpage the minimum entry requirements is outlined as 2:1 in mathematics, applied mathematics, engineering or physics. However, most of our applicants admitted to the programme do tend to have a first degree.

You may want to visit the main MSc courses page here for further information: Prospective students | Faculty of Natural Sciences | Imperial College London

I have submitted an application for this programme as my second choice. Will I be considered?

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

When is the application deadline?

There is no formal closing date but it will close as they become full so early application is generally advised,

If an application deadline does apply, this will be published on the relevant course page. Prospective students | Faculty of Natural Sciences | Imperial College London

Are there any scholarships available?

Information about the scholarships available can be found on the Search our scholarships. If there is nothing listed in the search tool, then unfortunately there are no scholarships available from the College.

There may be external scholarships available, please see the International scholarship collaborations page and the Further Funding Opportunities page on our website.

Does my current GPA meet the minimum requirements for this programme? / Do you accept my international qualification?

Please visit this webpage for information on Accepted qualifications | Study | Imperial College London

Do you require my GRE / GMAT score?

We do not require either the GRE or GMAT to consider applications to our MSc programmes in the Department of Mathematics. You are not required to send us your results.

 

Scholarships

Please visit our webpage for scholarships information.

Terms and conditions

Important information that you need to be aware of both prior to becoming a student, and during your studies at Imperial:

View terms and conditions.

Competence Standards

Read our Mathematics MSc Competence Standards (PDF).