Mathematics

Enrich your study of mathematics with a year abroad at a leading European university, and an integrated year of Master’s level study.

Key information

Award

MSci

Duration

4 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: G104
  • ECTS: 240
  • 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.

Year Abroad

The MSci Mathematics with a Year Abroad (G104) course offers you the chance to spend your third year studying abroad at a leading European university, challenging yourself in a different academic and cultural environment. You will normally be taught in the language of the host country, and free language classes are available at the College to help you prepare.

Limited places means competition for placements abroad is strong, so only students who are on track for a 2:1 or above by the time of selection in year two will be eligible.

After your year abroad, you will build on the BSc programme with an integrated year taught at Master's level, in which you choose from a wide selection of advanced modules and complete a research project.

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.

Language module

You will have a meeting with the Centre for Languages, Culture and Communication soon after beginning your degree at Imperial to establish your ability in the relevant language.

There are different levels of language modules available depending on your ability, and you are normally expected to pass level three by the end of your second year. Some students will not be required to take language classes, for instance if you are fluent in a relevant langauge.

Your language module will be taken for credit but not counted toward your final degree grade.

List of language modules

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

Language module

You will have a meeting with the Centre for Languages, Culture and Communication soon after beginning your degree at Imperial to establish your ability in the relevant language.

There are different levels of language modules available depending on your ability, and you are normally expected to pass level three by the end of your second year. Some students will not be required to take language classes, for instance if you are fluent in a relevant langauge.

Your language module will be taken for credit but not counted toward your final degree grade.

List of language modules

Year 3

You will spend your third year at a leading European university, and students have previously studied at:

Please note the above is an illustrative list of universities located abroad which the Department is currently partnered with. Partnerships with universities are subject to continuous review and individual partnerships may or may not be renewed.

There may be limitations placed upon your ability to live and study in these locations. If applicable you will need to successfully apply for the relevant visa. This applies to all students, including Home students, in light of the vote for the United Kingdom to leave the European Union.

Year 4

Core module

  • Advanced Research Project in Mathematics

Optional modules

You choose six optional modules in total for your fourth year.

There are over 40 optional modules available across different areas of mathematics, the list below gives you an idea of these areas.

  • 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

Imperial Horizons, Business School and modules from other departments

You may choose up to one select module 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 six optional modules in your fourth 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 3Year 4
Lectures, seminars and similar 377 (25%) 325 (21%) Abroad 180 (11%)
Independent study 1,136 (75%) 1,200 (79%) Abroad 1,420 (89%)
Placement Abroad
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 3Year 4
Coursework 20% 15% 0% 33%
Practical 0%
Written 80% 85% 0% 67%
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.

Language requirement

There is no formal language requirement our Year in Europe degree, however applicants may be required to demonstrate a basic competence in a required language.

These requirements are different to entry requirements, as you will often have the opportunity to work towards the necessary criteria in your time at university, up to the third year of this course.

As a guide a basic competency would equate to:

  • A Level Grade C
  • AS Level Grade B
  • GCSE Grade A

If you can demonstrate that you are fluent in the language you do not need a formal language qualification.

Language courses are available in the College for all students, and are ideal for those who need to improve their standard.

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

Language requirement

There is no formal language requirement our Year in Europe degree, however applicants may be required to demonstrate a basic competence in a required language.

These requirements are different to entry requirements, as you will often have the opportunity to work towards the necessary criteria in your time at university, up to the third year of this course.

As a guide a basic competency would equate to:

  • A Level Grade C
  • AS Level Grade B
  • GCSE Grade A

If you can demonstrate that you are fluent in the language you do not need a formal language qualification.

Language courses are available in the College for all students, and are ideal for those who need to improve their standard.

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

You may also require a relevant language qualification for this year abroad degree.

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 entryYear in Europe
£9,250 per year 15% of the relevant fee for that year

Read more about funding for year abroad placements.

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 entryYear in Europe
£26,000 per year 100% of the relevant fee for that year

Read more about funding for year abroad placements.

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: G104
  • 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.

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