BSc Mathematics with Applied Mathematics/ Mathematical Physics
UCAS code: G1F3
Start date: October 2017
Duration: 3 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.
This three-year BSc in Mathematics with Applied Mathematics/Mathematical Physics focuses on the application of mathematical theory and physics.
The Department of Mathematics offers a wide range of modules, allowing you to have choice over your studies. This course focuses on how mathematical methods can be used to solve problems in physics.
The two disciplines of mathematics and physics are closely interlinked, and allow students to gain advanced problem solving capabilities.
You will gain highly sought after skills relevant to a wide range of employers, as well as the ability to think logically and analyse complex problems.
What you study
The areas of study broadly followed by all Mathematics Department students in the first two years are: mechanics, analysis, geometry, algebra, methods training, statistics, probability and computation.
You will complete an individual poster project and group projects, as the course utilises a variety of teaching styles and assessment methods.
During your third year you will specialise in applied mathematics and physics. You can choose from areas including (geophysical) fluid dynamics, general/special relativity, electromagnetism, tensor calculus and mathematical physics methods.
Modules shown are for the current academic year, and are subject to change depending on your year of entry.
You must choose at least six Applied Mathematics/ Mathematical Physics modules marked as required modules across your whole degree, and these modules are available in your second and third year.
- 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
* this module can be counted as one of your six required modules for Applied Mathematics/ Mathematical Physics
A large selection of modules is available to all Department of Mathematics students, and you will choose eight, including modules specifically required for your stream of study.
- Bifurcation Theory
- Chaos and Fractals
- Dynamical Systems
- Dynamics of Games
- Fluid Dynamics I
- Fluid Dynamics II
- Function Spaces and Applications
- Geometric Mechanics I: Dynamics and Symmetry
- Geometric Mechanics II: Rotating, Translating and Rolling
- Introduction to Geophysical Fluid Dynamics
- Introduction to Partial Differential Equations
- Mathematical Biology
- Mathematical Finance: An Introduction to Option Pricing
- Mathematical Physics I: Quantum Mechanics
- Methods of Mathematical Physics
- Research Project in Mathematics
- Scientific Computation
- Special Relativity and Electromagnetism
- Theory of Complex Systems
You will be able to select a small number of modules from outside of the above list too, from areas such as:
- Asymptotic Analysis
- Fluid Dynamics
- Functional Analysis
- Galois Theory
- Geometry of Curves and Surfaces
- Group Theory
- Methods of Mathematical Physics
- Number Theory
- Partial Differential Equations
- Probability Theory
- Quantum Mechanics
- Theory of Complex Systems
You can choose one of the modules below within your eight choices.
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 firstname.lastname@example.org 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 skills you will develop on this course, including experience in computation and communication, are extremely relevant to the needs of society, rendering graduates eminently suited to successful technical, managerial and financial careers.
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 only apply to the modules displayed on this page rather than all available.
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.
- 15/06/2017 – the third year required module titled Tensor Calculus and General Relativity has been removed.
- 15/06/2017 – the third year required module titled Applied Functional Analysis was renamed Function Spaces and Applications.
For more information about these changes, please contact the Department using the contact details in the left hand column. Keep checking back for future updates.