UCAS code: G103
Start date: October 2017
Duration: 4 years full-time
Location: South Kensington
Mathematics is the engine of science and engineering. It is the set of ideas, insights and techniques that enable us to understand, analyse, and solve problems.
Imperial’s Department of Mathematics is one of the strongest and most active in the UK. We are home to several Fellows of the Royal Society, many of whom are active in teaching and project support, which is strongly influenced by their research expertise.
What you study
This course is among the broadest of our Mathematics courses. It gives you the chance study to Master's level and choose from over 50 optional modules across our six specialist streams, allowing you to focus on your favourite areas of mathematics.
Some topics in university-level mathematics are a direct continuation of those at A-level, but others will introduce you to new ways of thinking. These topics are concerned with the:
- Logical structure of arguments
- Proper definition of mathematical objects
- Design of sophisticated mathematical models
- Legitimacy of computations
Our course is well suited to problem-solvers who can apply lateral thinking to complex questions. You will receive broad training relevant to a variety of careers within organisations that will value your ability to confront demanding problems.
Transferring between Mathematics courses
All of our mathematics students study a broadly similar programme in the first two years. This is designed to provide you with a firm foundation in areas essential to further study, including:
- Probability and statistics
- Complex analysis
- Differential equations
- Multivariable calculus
- Numerical analysis
This common core makes it possible for you to transfer between all of our undergraduate mathematics courses during the first two years, subject to the relevant approval. You can see all of the undergraduate degree courses offered by the Department of Mathematics on our Departmental Overview.
Please be aware of transfer deadlines and the potential for additional entry requirements if you would like to transfer to a different course within the Department.
Modules shown are for the current academic year, and are subject to change depending on your year of entry.
- Algebra I
- Analysis I
- Foundations of Analysis
- Geometry and Linear Algebra
- Individual Poster Project
- Mathematical Computation
- Mathematical Methods I
- Mathematical Methods II
- Probability and Statistics I
This practical module emphasises specialist software such as Matlab and Python, and is primarily examined by project.
Individual Poster Project
Towards the end of the first year, you will complete an individual poster project on a subject of your choice suggested by a series of inspirational lectures. All posters are then exhibited together and you will explain your work to circulating staff and students, obtaining credit for both content and exposition.
- Algebra II
- Complex Analysis
- Differential Equations
- Group Project
- Introduction to Numerical Analysis
- Multivariable Calculus
- Probability and Statistics II
- Real Analysis
You choose one module from below.
- Metric Spaces and Topology
- Non-linear waves
- Statistical Modelling
There are over 50 optional modules available in the areas of pure mathematics, mathematical physics, applied mathematics, methodology, numerical analysis and statistics.
All third year modules are optional, and you will choose eight. The list below gives you an idea of the areas you can choose from.
- Algebra, Algebraic Combinatorics and Number Theory
- Applied Probability
- Communicating Mathematics
- Functional Analysis
- Galois Theory
- Games, Risks and Decisions
- Group/ Group Representation Theory
- Mathematical Finance (Option Pricing)
- Mathematical Physics (Quantum Mechanics)
- Measure and Integration
- Number Theory
- Scientific Computation
- Special Relativity and Electromagnetism
- Stochastic Simulation
- Time Series
You can choose one of the modules below within your eight choices.
In the fourth year you will complete an Advanced Research Project in Mathematics, credited to the value of two modules, alongside six optional modules. The below lists provide a guide to the areas you will have to choose from.
- Algebraic number
- Analytic number
- Theory of Distributions
- Group/ Group representation
- Number/ Elliptic Curves
- Complex systems
- Analytic Methods in Partial Differential Equations
- Mathematical Physics
- Quantitative Methods in Retail Finance
- Mathematical physics
- Fluid dynamics
- Mathematical biology
- Functional analysis
Teaching and assessment
Assessment varies between modules, but for the majority it involves a combination of written exams, practical and continuous assessment of coursework. You can expect to experience a variety of teaching and learning methods, including: lectures, problem classes, tutorials, computational work, Matlab and Maple (specialist software), group project, individual assignments and problem sheets.
Key Information Set (KIS)
Additional details about how this course is taught and assessed are provided in the KIS (Key Information Set).
The KIS is a set of statistics which all universities use to describe how their courses are taught and assessed. This allows students to compare similar courses at different institutions.
The KIS describes the percentage of time which students typically spend in timetabled activity and in independent study for each year of their course as well the percentage of assessment which is exams, coursework or practical. An overview of the KIS is shown in the widget at the bottom of the page and further detail (including a year-by-year breakdown) is available via Unistats.
We welcome students from all over the world and consider all applicants on an individual basis. If your qualifications are not listed here, please see our academic requirements by country page, which gives the minimum entry requirements for a range of international qualifications.
Mathematics Admissions Test (MAT)
Applicants to all our Mathematics courses (except joint Mathematics and Computer Science courses) who apply prior to 15th October, and are taking A-level or IB examinations, are asked to sit the Mathematics Admissions Test (MAT) as part of their application to Imperial. Students applying with other qualifications are also encouraged to take the MAT. The MAT allows us to have a common measure with which to benchmark all of our applicants, regardless of which qualifications they have, or have already achieved.
The MAT is a paper-based, subject-specific admissions test which lasts 2.5 hours and takes place in early November. For more information about the test, visit the Admission Testing Service's website. You must register for the test before taking it. Find out how to register for the test.
Applicants may request their MAT result from April onwards the year after their test sitting. A request must be made in writing to email@example.com and confirm your full name, UCAS ID and MAT registration number.
Sixth Term Examination Paper (STEP)
Applicants who are not able to take the Mathematics Admissions Test (MAT) or who apply after the 15th October deadline, and who are taking A-level or IB examinations, will be asked to sit one or more Sixth Term Examination Papers (STEP). This may also be applied to conditional offers to applicants taking other qualification types.
Our minimum offer for these students has the additional requirement of a Grade 2 in either of these STEP papers.
In addition, any candidates who are considered borderline may be considered for a STEP offer. Find out more about STEP (Sixth Term Examination Paper), which is also administered by ATS.
For Mathematics degrees (except joint Mathematics and Computer Science) the normal minimum entry requirement is A*A*A overall, to include:
- A* in Mathematics
- A* in Further Mathematics
- A in one other A-level (Chemistry or Physics will be an advantage)
Competition for places is intense, so your application will be stronger if you are studying subjects with a high mathematical content.
Although we do not require passes in specific subjects at GCSE level, we do expect candidates to have a broad education. This can be shown by passes in a suitable range of subjects at that level, and we would normally expect at least five of these to be at grade A or A*.
Practical endorsement (practical science assessment)
If you are made an offer you will be required to achieve a pass in the practical endorsement in all science subjects that form part of the offer.
For Mathematics degrees (except joint Mathematics and Computer Science) the normal minimum entry requirement is an overall score of 39 points, including:
- 7 in Mathematics at higher level
- 6 in Physics, Chemistry or Economics at higher level
We welcome applications from candidates with SCE Highers, AGNVQ, European Baccalaureate, French Baccalaureate or Abitur qualifications. These will be considered on their individual merits, as will applications from students with other competencies.
English language requirements (all candidates)
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 undergraduate applicants.
Applicants are welcome to attend one of our open days, which are held several times a year. On open days you will have the opportunity to hear talks about the courses and other activities of our Department and the College.
You will be taken on a tour by current students and will have many opportunities to obtain further information about us and ask specific questions.
Tuition fees and funding
Home and EU students
£9,250 per year
The UK government has confirmed that universities that have achieved a ‘meet expectations’ award – which includes Imperial – will, under the first year of the new Teaching Excellence Framework (TEF), be able to raise their fees in 2017. The rise is an inflationary amount of 2.8% to a maximum of £9,250. The measure of inflation used is RPI-X (the retail price index, excluding mortgage interest payments). You should expect the fee to increase beyond 2017 for each year that your course lasts, subject to UK government regulations on fee increases.
The UK government has also confirmed that EU students starting or continuing their studies in the 2017–18 academic year will continue to pay the Home rate of tuition fees for the duration of their course. EU students will also remain eligible for the same government funding support as they are now, including the Tuition Fee Loan. This access to government funding will continue throughout your course, even if the UK exits the EU during this time.
Islands and overseas students
£25,000 per year
Please note that the tuition fee amount you will pay may increase each year.
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 fee status assessments.
Home and EU students (with the exception of Graduate Medicine students) can apply for a Tuition Fee Loan from the Government to cover the full cost of their fees each year.
Home students may also be eligible for a Maintenance Loan to help with their living costs.
Bursaries and scholarships
The Imperial Bursary is available to any Imperial Home undergraduate student (except Graduate Medicine students) whose household income falls below £60,000 per year.
It is designed to ease the cost of London living by providing support on a sliding scale, from £2,000 up to £5,000 per year.
As long as your household income remains below £60,000 you will automatically qualify for a bursary for every year of undergraduate study.
The bursary is paid on top of any government loans to which you are entitled and does not need to be paid back. Find out more about the Imperial Bursary.
Our President’s Undergraduate scholarships are available to all undergraduate applicants studying an undergraduate degree for the first time who have applied to the College by 15 October.
They’re worth £1,000 for each undergraduate year of study. There are up to 112 awards available for students starting their studies in 2017–18.
A wide range of other scholarships is also available. Find out which scholarships you may be eligible for by using our scholarships search tool.
To find out more about the range of financial support available please see our Fees and Funding website.
How to apply
UCAS Apply system
To apply to study at Imperial you must use the online application system managed by the Universities and Colleges Admissions Service (UCAS).
The UCAS code for Imperial College London is I50.
All applications which include choices for medicine at Imperial must be submitted to UCAS by 18.00 (UK time) on 15 October 2016 for entry in October 2017.
The deadline for other courses at Imperial starting in 2017 is 18.00 (UK time) on 15 January 2017.
Students at a school/college registered with UCAS
All UK schools and colleges and a small number of EU and international institutions are registered with UCAS.
To make it clear which school or college you are applying from you will need to ask one of your teachers or advisers for the UCAS buzzword. You will need to enter this in UCAS’s Apply system when you register.
See our How to apply section for further guidance.
Independent applicants and students at schools/colleges not registered with UCAS
If you’re applying independently or from a school/college not registered with UCAS you will still need to use UCAS’s Apply system. You will not need a UCAS buzzword.
See our How to apply section for further guidance.
Academic Technology Approval Scheme (ATAS)
An ATAS certificate is not required for overseas students applying for this course.
For more information about the Academic Technology Approval Scheme (ATAS), please see the International Student Support website.
Tracking your application
Once you’ve completed your application and it’s been submitted through UCAS’s Apply system, you can use UCAS’ Track system to follow its progress and manage your choices.
What our graduates do
The logical and analytical skills developed through a degree in mathematics are highly valued by a wide range of employers. Our graduates go on to a diverse range of careers in industry, government and education, as well as international banking, computing, business, law, and accountancy.
The MSci programmes in particular prepare you for research careers, and are recognised throughout the European Union, where four-year undergraduate degrees tend to be the norm.
Recent graduates of the Department have become:
- Trainee Investment Banker, Goldman Sachs
- Analyst, KPMG
- Trainee Accountant, EY
- Risk Analyst, Citibank
- Software Engineer, BT
Information for offer holders for 2017
This section lists the changes that have been made to information about this course on this page since the UCAS application process opened on 1 September 2016.
All core modules are displayed on this page; the optional modules represent an indicative list of those that are likely to be available rather than all optional modules that will be offered every year. As a result, the changes recorded here only apply to the modules displayed on this page rather than all available on this course.
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.
There are currently no changes to record for this course. Keep checking back for future updates.