Maths PhD student

Duration: 1 year full-time or 2 years part-time
Start date: October 2017
LocationSouth Kensington
ECTS: 90 credits

This course is now open to applications for 2017 entry.

This course offers excellent training in advanced pure and applied mathematics, together with a range of more specialised options, equipping students with a range of mathematical skills in problem solving, project work and presentation.

About the course


This course will provide you with outstanding training in many different aspects of Applied Mathematics.

We offer a great variety of courses with depth of instruction, small classes and a substantial research project.

The skill set obtained during the Applied Mathematics MSc programme is highly transferable, which opens opportunities for a career in industry or for further advanced study in diverse areas ranging from engineering and physics to finance.

The very broad choice of modules available covers all areas of applied mathematics and mathematical physics, reflecting the research interests of the Applied Mathematics and Mathematical Physics section of the Department of Mathematics.


Modules shown are for the current academic year, and are subject to change depending on your year of entry.

This course may be taken full- or part-time and runs for 12 or 24 months respectively, starting in October of each year.

You must take eight modules (four in each year for part-time students), and undertake an independent research project. The main ideas and results from your project will also form the basis for an oral presentation, which will count towards your overall project mark.


The following list is a guide to the modules available.


  • Fluid Dynamics 1
  • Fluid Dynamics 2
  • Introduction to Geophysical Fluid Dynamics
  • Hydrodynamic Stability
  • Vortex Dynamics
  • Asymptotic Analysis


  • Geometric Mechanics
  • Dynamical Systems
  • Bifurcation Theory
  • Dynamics, Symmetry and Integrability
  • Ergodic Theory
  • Advanced Dynamical Systems
  • Dynamics of Games
  • Introduction to Riemann Surfaces and Conformal Dynamics


  • Mathematical Finance: An Introduction to Option Pricing


  • Inference, Control and Driving in Natural Systems
  • Mathematical Biology

Mathematical Physics

  • Theory of Complex Systems
  • Mathematical Physics 1: Quantum Mechanics
  • Applied Stochastic Processes
  • Special Relativity and Electromagnetism
  • Tensor Calculus and General Relativity
  • Introduction to Partial Differential Equations
  • Methods of Mathematical Physics
  • Advanced Topics in Partial Differential Equations
  • Applied Functional Analysis 

Numerical Analysis/Computation

  • Computational Stochastic Processes
  • Finite Elements: Numerical Analysis and Implementation
  • Computational Partial Differential Equations 1
  • Numerical Solution of Ordinary Differential Equations
  • Computational Linear Algebra
  • Scientific Computation

Entry requirements

Minimum academic requirement

2.1 Honours degree in mathematics, applied mathematics or a related subject, such as engineering or physics.

International qualifications

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

We also accept a wide variety of international qualifications. For guidance see our Country Index though please note that the standards listed here are the minimum for entry to the College.

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.

Additional Information

There is no GMAT or GRE requirement.

We cannot comment on the eligibility of applicants without seeing a full application form along with references and transcripts.

Successful applicants must be able to meet all conditions of their offer, including the English language requirement below, before the course begins.

English language requirements

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.

Fees and funding

Home and EU students

2017 entry:
  • £9,250 full-time
  • £4,625* per year part-time

Islands and overseas students

2017 entry:
  • £24,500 full-time
  • £12,250* per year part-time

* Please note that the tuition fee amount you will pay may increase each year.

Government funding

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

If you are a Home or EU student who meets certain criteria, you can apply for a Postgraduate Master’s Loan of up to £10,000 from the UK government for programmes beginning in October 2016. The loan is not means-tested, and you can choose whether to put it towards your tuition fees or living costs. 

Funding from Imperial


We offer a range of scholarships for postgraduate students to support you through your studies. Try our scholarships search tool to see what you might be eligible for.

For more information on the Postgraduate Master's Loan scheme and other funding opportunities that are available, please visit our Fees and Funding website.

How to apply

All applicants must apply online.

For full details on the online application process, or to start your application, please visit the How to Apply section of our website.

You can usually apply for up to two courses, although your second choice will only be considered if your first-choice application is unsuccessful.

Most of our postgraduate courses don't have a formal closing date, but popular courses close when they are full. We therefore recommend applying early to avoid disappointment, especially students who will also be applying for funding or applying for a visa.

You will need to upload documents with your applications, which may include transcripts and degree certificates.

Offer holders will need to pay a deposit to secure your place. This will be deducted from the balance of your tuition fees.

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

Further information

Find out more about the MSc in Applied Mathematics, including more detailed course content.