Mathematics

Focus on statistical theory and the real-world applications of this important area of mathematics.

Key information

Award

BSc

Duration

3 years

full-time

Minimum entry

Three A-level offer: A* A* A

See full entry requirements

Applications : admissions ratio

10 : 1

Based on 2018 entry data

  • UCAS course code: G1G3
  • ECTS: 180 - 185
  • Start date: October 2020

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 FinanceMathematics students with lecturer
  • 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.

Elective modules in your second year enable you to deepen your knowledge of some areas while maintaining a broad understanding.

On the BSc Mathematics with Statistics course, you will specialise in Statistics in your third year, when you choose at least five modules from a variety of topics such as applied probability, stochastic simulation, and games, risks and decisions.

You can choose your remaining optional modules from our extensive 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 Abroad 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 your year of 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

  • Analysis 1
  • An Introduction to Applied Mathematics
  • Calculus and Applications
  • Individual Research Project
  • Introduction to Computing
  • Introduction to University Mathematics
  • Linear Algebra and Group Theory
  • Probability and Statistics

Year 2

Core modules

  • Probability for Statistics
  • Statistical Modelling 1
  • Linear Algebra and Numerical Analysis
  • Analysis 2
  • Multi-variable Calculus and Differential Equations
  • Group Research Project

Optional modules

You choose two modules from below.

  • Analysis 2
  • Group Research Project
  • Linear Algebra and Numerical Analysis
  • Multi-variable Calculus and Differential Equations
  • Probability for Statistics
  • Statistical Modelling 1

You will also choose a module from the I-Explore or Horizons modules.

Year 3

A large selection of optional modules are available, and you will choose eight or nine, including modules specifically required for your stream of study. The number of modules you take depends on the number of credits awarded to each module.

Required modules

You will need to complete at least five 'required modules' in total in order to complete your studies with this Statistics degree. There is a required module available in your second year, as well as the third year options below.

  • Applied Probability
  • Consumer Credit Risk Modelling
  • Mathematics Research Project
  • Statistical Modelling 2
  • Statistical Theory
  • Stochastic Simulation
  • Survival Models
  • Time Series Analysis

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.

  • Advanced Topics in Partial Differential Equations
  • Algebra 3
  • Algebraic Combinatorics
  • Algebraic Number Theory
  • Algebraic Topology
  • Applied Complex Analysis
  • Asymptotic Methods
  • Bifurcation Theory
  • Communicating Mathematics
  • Computational Linear Algebra
  • Computational Partial Differential Equations
  • Dynamical Systems
  • Dynamics of Games and Learning
  • Finite Elements: Numerical Analysis and Implementation
  • Fluid Dynamics 1
  • Fluid Dynamics 2
  • Function Spaces and Applications
  • Functional Analysis
  • Galois Theory
  • Geometric Complex Analysis
  • Group Representation Theory
  • Group Theory
  • Groups and Rings
  • High Performance Computing
  • Introduction to Geophysical Fluid Dynamics
  • Lebesgue Measure and Integration
  • Markov Processes
  • Mathematical Biology
  • Mathematical Finance: An Introduction to Option Pricing
  • Mathematical Logic
  • Mathematics of Business and Economics
  • Methods for Data Science
  • Network Science
  • Number Theory
  • Numerical Solutions of Ordinary Differential Equations
  • Partial Differential Equations in Action
  • Principles of Programming
  • Probability Theory
  • Quantum Mechanics 1
  • Quantum Mechanics 2
  • Scientific Computing
  • Special Relativity and Electromagnetism
  • Tensor Calculus and General Relativity
  • Theory of Complex Systems

Download the programme specification [PDF] – this is the most up-to-date version available for this course. It may change for your year of entry. If/when changes to this course are approved by the College, we will update this document and the information on this course page.


I-Explore

Through I-Explore, you'll have the chance to deepen your knowledge in a brand new subject area, chosen from a huge range of for-credit modules.

All of our undergraduate courses will include one module from I-Explore's wide selection. The module you choose will be fully integrated into your course's curriculum and will count as credit towards your degree.

Find out more about I-Explore

Teaching and assessment

Teaching

  • Independent learning
  • Group Learning
  • Lectures
  • Tutorials
  • Problem-solving and group learning classes
  • Research Projects

Teaching, independent study and placement hours

 Year 1Year 2Year 3
Lectures, seminars and similar 330 hours 300 hours 240 hours
Independent study 1,170 hours 1,200 hours 1,360 hours
Placement
Based on the typical pathway through the course 
 

Assessment

  • Group assignments and projects
  • Individual Projects
  • Online tests and quizzes
  • Oral presentations
  • Poster presentations
  • Short, individual tests
  • Written examinations

Assessment types

 Year 1Year 2Year 3
Coursework20%15%16%
Practical
Written80%85%84%
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

Minimum entry standards

Our minimum entry standard for 2020 entry is A*A*A overall, to include:

  • A* in Mathematics
  • A* in Further Mathematics
  • A in another subject

General Studies and Critical Thinking are not accepted.


Typical offer range

As a guide, here are the typical offers made in 2017-18 to at least 80% of applicants studying A-levels:

Three A-level offer: A*A*A–A*A*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.


Further Mathematics

We are able to make special cases for students who are from schools that do not offer Further Mathematics A-level, and encourage applications from them. We are often guided by performance in MAT when making these special cases. You should ask your teacher to clearly indicate this in your UCAS application form. If your school offers Further Mathematics AS but not A level, then we expect that you should be taking it.


Additional Mathematics support

Our new A-level Mathematics online course covers a range of key topic areas to help you gain a deeper understanding of the skills and techniques required to succeed in your A-level Mathematics exams.

This optional course has been built around the A-level syllabus with the aim of developing your thinking skills, fluency and confidence.

Please note: this course is not compulsory and does not form part of the entry requirements for this course. It is available free of charge via the EdX website. It is self-paced so you can start it at any time.

International Baccalaureate

Minimum entry standards

Our minimum entry standard for 2020 entry is 39 points overall, to include:

  • 7 in Mathematics at higher level
  • 6 in another subject at higher level

Typical offer range

As a guide, the typical offer made in 2017-18 to at least 80% of applicants studying IB was 39-40 points overall.


Mathematics Higher Level for award in 2021

For entry in 2021, the Mathematics Analysis and Approaches or the Applications and Interpretation syllabi will be accepted at higher level, but Analysis and Approaches is preferred.


Additional Mathematics support

We have recently launched an A-level Mathematics online course, which is available free of charge via the EdX website.

Although this optional course has been built around the A-level syllabus, it is relevant to your curriculum too.

Please note: this course is not compulsory and does not form part of the entry requirements for this course. It is self-paced so you can start it at any time.

Advanced Placements

The grades detailed below are the minimum requirements for students offering only Advanced Placements as their exams for entry to Imperial.

If you are studying a High School Diploma that is accepted by Imperial alongside Advanced Placements, requirements may apply to both your Diploma and Advanced Placements.

Please consult our country index to check whether we accept your High School Diploma programme for admission.

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
  • 5 in another subject

Additional Mathematics support

We have recently launched an A-level Mathematics online course, which is available free of charge via the EdX website.

Although this optional course has been built around the A-level syllabus, it is relevant to your curriculum too.

Please note: this course is not compulsory and does not form part of the entry requirements for this course. It is self-paced so you can start it at any time.

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 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). 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 2017-18 (encompassing at least 80% 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.


Pilot admissions schemes (Home students)

From 2020 entry, we will be using information about our applicants in a number of new pilot admissions schemes, to consider the wider context of Home students from groups underrepresented at the College.

Find out more

Foundation programmes

A foundation course is a one-year preparation course, designed for international students, which leads to undergraduate programmes in the UK. Foundation programmes are normally for school-leavers who have studied a non-British curriculum but wish to pursue a degree at a UK university.

Foundation programmes are offered by many UK universities, but only two would be considered for entry to Imperial: 

  1. UCL’s Undergraduate Preparatory Certificate for Science and Engineering (UPCSE), and 
  2. Warwick’s International Foundation Programme (IFP) in Science & Engineering

UCL UPCSE

A year-long programme for international students whose school leaving qualifications do not allow them direct entry to UK universities. Students must complete four modules across the year – two compulsory and two elective modules:

ModuleStatus
Research and Academic Skills: Science and Society Compulsory
Academic English Compulsory
Biology Elective
Chemistry Elective
Mathematics Elective
Physics Elective
Information correct at time of publishing, but subject to change
Summary of the table's contents

To be considered for admission to Mathematics, international students studying UCL UPCSE must achieve:

  • 70% overall
  • 80% Mathematics
  • 80% Chemistry or Physics

Grade 2 in Step 2 or Step 3 may also be required


Warwick IFP Science and Engineering

A year-long programme for international students whose school leaving qualifications do not allow them direct entry to UK universities. 

To be considered for admission to Mathematics, international students studying Warwick IFP Science and Engineering must achieve:

  • 70% overall
  • 80% Mathematics
  • 80% Chemistry or Physics

Grade 2 in Step 2 or Step 3/MAT may also be required

To meet these requirements, students should choose from the following IFP pathways:

  • Life Sciences 
  • Computer Science 
  • Mathematics & Statistics 
  • Economics 
  • Physical Sciences 
  • Engineering 

English language requirement (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 higher 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.

View our terms and conditions on visas.

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)

2020 entry
£9,250 per year

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/EEA students

The UK government has confirmed that EU/EEA students starting at the College in the 2020-21 academic year will continue to pay the Home rate of tuition for the duration of their course. This includes access to the Tuition Fee Loan for EU students who have resided in the European Economic Area for at least three years prior to study, and access to the Maintenance Loan for EU students have been resident in the UK for at least five years.

For the latest updates on the implications of ‘Brexit’, please see the Imperial and the European Union webpages.

Tuition fees (Overseas and Islands students)

2020 entry
£30,000 per year

You should expect and budget for your tuition fee increasing each year by an amount tied to inflation. 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. For example, 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: G1G3
  • UCAS institution code: I50

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).

You can view this course on the UCAS website.

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 2020 for entry in October 2020.

The deadline for medicine courses at Imperial starting in 2020 is 18.00 (UK time) on 15 October 2019.

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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Read our terms and conditions for these areas: