Mathematics

Gain an in-depth understanding of a key area of our research, such as geometry, analysis, algebra and number theory.

Key information

Award

BSc

Duration

3 years

full-time

Typical offer

Three A-level offer: A*A*A–A*A*A*

See full entry requirements

Applications : admissions ratio

8 : 1

Based on 2015 application data

  • UCAS course code: G125
  • ECTS: 180
  • Start date: October 2018
Apply on the UCAS website

Student blogs

Get an insight into studying Mathematics at Imperial, from the people who know it best, our students.

Overview

Mathematics at Imperial aims to present a wide range of mathematical ideas in a way that develops your critical and intellectual abilities.

The Department is home to several Fellows of the Royal Society and international prize winners, and our degrees are built around our research expertise in four core areas:

  • Pure Mathematics
  • Applied Mathematics and Mathematical Physics
  • Mathematical Finance
  • Statistics

You will cover both topics that are a direct continuation of those at A-level and those that introduce you to new ways of thinking, such as the logical structure of arguments, the proper definition of mathematical objects, the design of sophisticated mathematical models, and the legitimacy of computations.

All of our courses follow the same core curriculum for the first two years, covering key areas of mathematics such as algebra, differential equations, and probability and statistics.

On the BSc in Pure Mathematics, you will specialise in Pure Mathematics in your third year, when you take at least six modules from a variety of relevant topics such as Algebraic Number Theory, Functional Analysis, Topology and Probability Theory. 

Your remaining optional modules can be chosen from our wide selection of topics in other areas of mathematics, many of which are linked to our cutting edge research.

Transfer between courses

Successful candidates will receive one offer for one course from the Department, so you should apply to just one. There is no advantage in applying to multiple courses within Mathematics.

The high level of shared content in the first two years means it is usually possible to transfer between any of our maths courses during this time (within stated restrictions) however, transfer onto the Year in Europe course must normally be done in your first year.

If you are an international student, transferring to a different course could have an impact on your Tier 4 visa. Please visit our International Student Support webpage for further information.

Structure

Please note that the curriculum of this course is currently being reviewed as part of a College-wide process to introduce a standardised modular structure. As a result, the content and assessment structures of this course may change for 2018 entry. We therefore recommend that you check this course page before finalising your application and after submitting it as we will aim to update this page as soon as any changes are ratified by the College.

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.

Year 1

Core modules

  • Algebra I
  • Analysis I
  • Foundations of Analysis
  • Geometry and Linear Algebra
  • Individual Poster Project
  • Mathematical Computation
  • Mathematical Methods I
  • Mathematical Methods II
  • Mechanics
  • Probability and Statistics I

Mathematical Computation

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.

Year 2

Core modules

  • Algebra II
  • Complex Analysis
  • Differential Equations
  • Group Project
  • Introduction to Numerical Analysis
  • Multivariable Calculus
  • Probability and Statistics II
  • Real Analysis

Optional modules

You choose one module from below.

  • Metric Spaces and Topology*
  • Non-linear waves
  • Statistical Modelling I

* This module can be counted as one of your required modules towards the specialised degree BSc Mathematics (Pure Mathematics) (see Year 3 for further information).

Year 3

A large selection of optional modules is available, and you will choose eight, including modules specifically required for your stream of study.

Required modules

You will need to choose six 'required modules' in total across your whole degree in order to graduate with a Pure Mathematics degree. There is a required module available in your second year as well as the modules listed below.

  • Algebra III
  • Algebraic Combinatorics
  • Algebraic Number Theory
  • Fourier Analysis and Theory of Distributions
  • Functional Analysis
  • Galois Theory
  • Geometric Complex Analysis
  • Geometry I: Algebraic Curves
  • Geometry II: Algebraic Topology
  • Geometry of Curves and Surfaces
  • Group Representation Theory
  • Group Theory
  • Introduction to Riemann Surfaces and Conformal Dynamics
  • Measure and Integration
  • Number Theory
  • Probability Theory
  • Research Project in Mathematics

Optional modules

Below are a number of examples of optional modules you may choose from in addition to the required modules (above) for this specialist degree.

  • Algebra
  • Asymptotic Analysis
  • Computational
  • Fluid Dynamics
  • Functional Analysis
  • Galois Theory
  • Geometry of Curves and Surfaces
  • Group Theory
  • Mechanics
  • Methods of Mathematical Physics
  • Number Theory
  • Partial Differential Equations
  • Probability Theory
  • Quantum Mechanics
  • Theory of Complex Systems

Imperial Horizons, Business School and modules from other departments

You may choose up to two select modules offered outside the Department through the Imperial Horizons programme (Imperial Horizons), the Business School (Business for Professional Engineers and Scientists), or another Department (subject to approval) for credit as part of your eight optional modules in your third year.

The Department of Mathematics approves a selection of the modules offered through these programmes, which means there are some modules you can take for credit.

Modules approved by the Department for credit are subject to change annually, but in the past have included modules such as:

  • Finance and Financial Management
  • Managing Innovation
  • Music Technology
  • Science, Politics and Human Identity

Teaching and assessment

Teaching

  • Lectures
  • Tutorials
  • Problem classes
  • Computational work

Teaching, independent study and placement hours

 Year 1Year 2Year 3
Lectures, seminars and similar 377 (25%) 325 (21%) 240 (15%)
Independent study 1,136 (75%) 1,200 (79%) 1,360 (85%)
Placement
Based on the typical pathway through the course; percentages have been rounded to the nearest whole number
 

Assessment

  • Coursework
  • Written examinations
  • Practical and project work

Assessment types

 Year 1Year 2Year 3
Coursework 20% 15% 6%
Practical
Written 80% 85% 94%
Based on the typical pathway through the course; percentages have been rounded to the nearest whole number
 

Staff expertise

At Imperial, you will be taught by a range of teachers of all levels from Professors to PhD students, including some who undertake groundbreaking research and are regarded as experts in their field.

You may also experience peer teaching and be taught by specialists external to the College.


Associateship

As well as your main Imperial degree, you will also receive the award of the Associateship of the Royal College of Science (ARCS) on completion of this course.

The Royal College of Science is one of three historic Colleges that came together to form Imperial College London in 1907.

Find out more about our Associateships.

Compare this course

See how this course compares with similar courses at different institutions using the Unistats information below.

You can use the Unistats website to find out how this course compares in areas such as student satisfaction and what our graduates are doing six months after completing this course.

Entry requirements

We welcome students from all over the world and consider all applicants on an individual basis – see selection process below.

For advice on the requirements for the qualifications listed here please contact the Department (see Contact us).

We also accept a wide range of international qualifications. If the requirements for your qualifications are not listed here, please see our academic requirements by country page for guidance on which qualifications we accept.

A-levels

Typical offer range

As a guide, the typical offer made in 2016 to at least 85% of applicants studying A-levels was A*A*A or A*A*A*.

Subject and grade requirements (2018 entry)

We expect applicants for 2018 entry to meet the following grade requirements in these subjects:

  • A* in Mathematics
  • A* in Further Mathematics
  • A in a third subject

Chemistry or Physics are specified as the preferred third subject in the printed Undergraduate Prospectus 2018 entry.

This is no longer the case – any subject (except General Studies and Critical Thinking) may be offered as the third A-level for 2018 entry – if this is not Chemistry or Physics it will not disadvantage your application in any way.

General Studies and Critical Thinking are not accepted.

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.

Admissions test

Please see the admissions test information below.

International Baccalaureate

Typical offer range

As a guide, the typical offer made in 2016 to at least 85% of applicants studying IB was 39–41 points overall.

Subject and grade requirements (2018 entry)

We expect applicants for 2018 entry to meet the following grade requirements in these subjects:

  • 7 in Mathematics at higher level
  • 6 in Physics, Chemistry or Economics at higher level

Admissions test

Please see the admissions test information below.

Advanced Placements

Our minimum requirement for this course is grades 5, 5, 5 to include:

  • 5 in Calculus BC
  • 5 in Chemistry, Physics C (Electricity and Magnetism, or Mechanics), Statistics or Computer Science

Other qualifications

Places will also be available to those with other equivalent qualifications, e.g. Abitur, Diploma Di Esame Di Stato, European Baccalaureate, Scottish Highers, Titullo de Bachiller, and to applicants with appropriate educational experience or other competencies. See admission of students with other competencies.

Admissions test

Mathematics Admissions Test (MAT)

All IB and A-level Mathematics candidates (excluding those who wish to study Mathematics and Computer Science) who apply prior to 15 October are required to sit the Mathematics Admissions Test (MAT). Students with other qualifications are also encouraged to take this exam. The MAT allows us to have a common measure with which to benchmark all our applicants, regardless of which qualifications they are taking as well or those they already have.

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 ugmaths.admissions@imperial.ac.uk and confirm your full name, UCAS ID and MAT registration number.

Sixth Term Examination Paper (STEP)

Conditional offers to post-15 October A-level and IB applicants who were unable to take MAT will include a STEP requirement. This may also be applied to conditional offers to applicants taking other qualification types.

Our minimum STEP offer is a Grade 2 in either the STEP II or STEP III papers. Both the grade and the number of papers may be increased in some cases.

In addition, some MAT candidates who have a borderline mark may be considered for a STEP offer and that offer may also be increased. Find out more about STEP (Sixth Term Examination Paper), which is also administered by ATS.

Selection process

Assessing your application

Admissions Tutors consider all the evidence available during our rigorous selection process and the College flags key information providing assessors with a more complete picture of the educational and social circumstances relevant to the applicant.

Some applicants may be set lower offers and some more challenging ones. It is the College’s policy to not make offers below three A grades at A-level in relevant subjects, 38 IB points with at least a grade 6 at higher level in relevant subjects, or their equivalent.

A typical range of offers made by this Department in 2016 (encompassing at least 85% of applicants who studied A-level or IB) is shown above.

Interview policy

We don't currently use interviews as part of our regular admissions process. We assess applicants on the basis of their UCAS form and performance in MAT.

We may consider students for interview where there are mitigating circumstances that need investigating, or where the background of the student means that their application requires further consideration. In these cases, our conditional offer may change as a result of the interview, and as with all candidates, each application is considered on its individual merits.

English language qualifications (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 undergraduate applicants.

Academic Technology Approval Scheme (ATAS)

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

For more information about the Academic Technology Approval Scheme (ATAS), please see the International Student Support website.

Tuition fees and funding

We charge tuition fees for every year that your course lasts. The fee you will be charged is based on your fee status, which is determined by government regulations.

Tuition fees (Home and EU students)

2018 entry
£9,250 per year

The above fee applies to the academic year 2018–19 only.

The fee for Home/EU students is controlled by the UK government.

Please note that the fee you pay may increase annually by an amount linked to inflation and approved by Parliament under the Student Fees (Inflation Index) Regulations 2006 – currently the measure of inflation used is the RPIX.

Government funding

If you're a Home student, you can apply for a Tuition Fee Loan from the UK government to cover the entire cost of tuition for every year of your course.

You can also apply for a means-tested Maintenance Loan to help towards your living costs.

EU students

The UK government has confirmed that funding arrangements for EU students starting a course in 2018 means they will continue to pay the Home rate of tuition and have access to the Tuition Fee Loan for the duration of their course.

This will remain the case even if their course finishes after the UK's exit from the European Union.

Tuition fees (Overseas and Islands students)

2018 entry
£26,000 per year

The tuition fees for Overseas and Islands students are set by Imperial College London.

You should expect and budget for your tuition fee increasing each year by an inflationary amount. 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 2019 will apply to fees for the academic year 2019–2020.

Accommodation and living costs

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

Over 90 per cent of Imperial undergraduates choose to live in our halls of residence in their first year. 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.

Careers

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 wide 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:

  • Graduate Mathematician, Williams Martini Racing
  • Research Analyst, Thomson Reuters
  • Analyst, JP Morgan
  • Accountant, KPMG
  • Data Scientist, Summit Media

How to apply

UCAS key information

  • UCAS course code: G125
  • UCAS institution code: I50
Apply on the UCAS website

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).

Application deadlines

All applications, other than those which include choices for medicine at Imperial, must be submitted to UCAS by 18.00 (UK time) on 15 January 2018 for entry in October 2018.

The deadline for medicine courses at Imperial starting in 2018 is 18.00 (UK time) on 15 October 2017.

Tracking your application

Once you’ve completed and submitted your application through UCAS’s online Apply service, you can use UCAS’ Track system to follow its progress and manage your choices.

See our How to apply section for further guidance.

You may also be interested in the following related departments and the courses they offer:

Contact us

Mathematics

Got a question?

Undergraduate Admissions Office
T: +44 (0)20 7594 8484
E: ugmaths.admissions@imperial.ac.uk

Read more on the Department of Mathematics website.

Social media icons

Join the conversation

Connect with us online via our social media channels on Facebook, Twitter, Instagram and Snapchat to join in the conversation about all things Imperial!

Get a first-hand account of what life at Imperial is really like by checking out our student blogs.

Undergraduate prospectus print cover

Order a prospectus

For more information about Imperial and the courses we offer, you can download a PDF of our prospectus or request a printed copy.

Order a free prospectus

Further information

London Eye

Living in London

London’s fusion of culture and charm will give you a student experience unlike any other, and our first-year accommodation guarantee means that you'll have the perfect base from which to explore this exciting city.

Students outside the Union

Student finance

We want to attract the very best students, regardless of their financial background. That's why we offer the most generous bursary scheme of any UK university, as well as a range of scholarships.

Students at graduation

International students

Imperial is proud to be the most international university in the UK, welcoming students from over 130 countries.