Skip to main content Skip to navigation

Mathematics MMath (UCAS G103)

General entry requirements

Entry requirements under review

Please note that 2022 entry requirements for Mathematics are undergoing review and subject to change until 30 September 2021. We recommend that all applicants register for at least one of the following admissions tests:


A levels

A*A*A including A* in both Mathematics and Further Mathematics, plus grade 2 in any STEP

Or A*A*A* including Mathematics and Further Mathematics

Or A*A*AA including A* in both Mathematics and Further Mathematics


IB

39 + STEP (grade 2) with 6 in three Higher Level subjects to include Mathematics ('Analysis and Approaches' only)

Or 39 with 7, 6, 6 in three Higher Level subjects to include Mathematics ('Analysis and Approaches' only)


BTEC

We welcome applications from students taking a BTEC alongside A level Mathematics and Further Mathematics.


International qualifications


Language requirements

All applicants have to meet our English Language requirements. If you cannot demonstrate that you meet these, you may be invited to take part in our Pre-sessional English course at Warwick.


Frequently asked questions

Warwick may make differential offers to students in a number of circumstances. These include students participating in the Realising Opportunities programme, or who meet two of the contextual data criteria.

Differential offers will usually be one or two grades below Warwick’s standard offer.

All students who successfully complete the Warwick IFP and apply to Warwick through UCAS will receive a guaranteed conditional offer for a related undergraduate programme (selected courses only).

Find out more about standard offers and conditions for the IFP.

We welcome applications for deferred entry.

We do not typically interview applicants. Offers are made based on your UCAS form which includes predicted and actual grades, your personal statement and school reference.

Course overview

Our challenging degree will harness your strong mathematical ability and commitment, enabling you to explore your passion for mathematics. You will be taught by world-leading researchers in a supportive environment, where learning spaces – including breakout areas and common spaces – are all geared towards you sharing, collaborating and exploring your academic curiosity.

Pure Mathematics modules combine the work of some of the world’s greatest thinkers, while Applied Mathematics addresses real-world problems in biology, data science, climate science and finance. Many third and fourth-year modules offer glimpses of the latest research.

The four-year MMath shares the same core as the BSc but enables you to explore areas of interest in greater depth, both through specialised fourth year modules and via a substantial Research or Maths-in-Action project.


Study abroad

We encourage students to consider spending Year Three at one of 23 European partner universities in Belgium, France, Germany, Italy, The Netherlands, Spain and Switzerland.

Core modules

Our degree programme consists of core and optional modules. In core modules, you will study essential topics in algebra, analysis and applied mathematics. Optional modules cover the entire range of mathematical sciences, including algebra, combinatorics, number theory, geometry, topology, pure and applied analysis, differential equations, and applications to physical, biological and data sciences. There are core modules in the first and second years of study.

The third and fourth years comprises optional modules, plus the fourth-year project. At Warwick, our wide range of options enables you to explore in depth your love of mathematics, while the flexible system allows you to explore other subjects you enjoy outside of mathematics (as much as 25% in each year can be in non-maths modules).


Important information

We are making some exciting changes to our Mathematics (MMath) degree for 2022 entry. Our core and optional modules are currently undergoing approval through the University's rigorous academic processes. As changes are confirmed, we will update the course information on this webpage. It is therefore very important that you check this webpage for the latest information before you apply and prior to accepting an offer.

Year One

Linear Algebra

Linear algebra addresses simultaneous linear equations. You will learn about the properties of vector space, linear mapping and its representation by a matrix. Applications include solving simultaneous linear equations, properties of vectors and matrices, properties of determinants and ways of calculating them. You will learn to define and calculate eigenvalues and eigenvectors of a linear map or matrix. You will have an understanding of matrices and vector spaces for later modules to build on.

Differential Equations

Can you predict the trajectory of a tennis ball? In this module you cover the basic theory of ordinary differential equations (ODEs), the cornerstone of all applied mathematics. ODE theory proves invaluable in branches of pure mathematics, such as geometry and topology. You will be introduced to simple differential and difference equations and methods for their solution. You will cover first-order equations, linear second-order equations and coupled first-order linear systems with constant coefficients, and solutions to differential equations with one-and two-dimensional systems. We will discuss why in three dimensions we see new phenomena, and have a first glimpse of chaotic solutions.

Mathematics by Computer

This module contains a Python mini-course and an introduction to the Latex scientific document preparation package. It will involve a group project, involving computation, and students will develop their research skills, including planning and use of library and internet resources, and their presentation skills including a video presentation.

Geometry and Motion

Geometry and motion are connected as a particle curves through space, and in the relation between curvature and acceleration. In this course you will discover how to integrate vector-valued functions and functions of two and three real variables. You will encounter concepts in particle mechanics, deriving Kepler’s Laws of planetary motion from Newton’s second law of motion and the law of gravitation. You will see how intuitive geometric and physical concepts such as length, area, volume, curvature, mass, circulation and flux can be translated into mathematical formulas, and appreciate the importance of conserved quantities in mechanics.

Foundations

It is in its proofs that the strength and richness of mathematics is to be found. University mathematics introduces progressively more abstract ideas and structures and demands more in the way of proof until much of your time is occupied with understanding proofs and creating your own. Learning to deal with abstraction and with proofs takes time. This module will bridge the gap between school and university mathematics, taking you from concrete techniques where the emphasis is on calculation, and gradually moving towards abstraction and proof.

This module also looks at algorithms and operational complexity, including cryptographic keys and RSA.

 

Introduction to Abstract Algebra

This course will introduce you to abstract algebra, covering group theory and ring theory, making you familiar with symmetry groups and groups of permutations and matrices, subgroups and Lagrange’s theorem. You will understand the abstract definition of a group, and become familiar with the basic types of examples, including number systems, polynomials, and matrices. You will be able to calculate the unit groups of the integers modulo n.

Analysis I/II

Analysis is the rigorous study of calculus. In this module, there will be a considerable emphasis throughout on the need to argue with much greater precision and care than you had to at school. With the support of your fellow students, lecturers, and other helpers, you will be encouraged to move on from the situation where the teacher shows you how to solve each kind of problem, to the point where you can develop your own methods for solving problems. The module will allow you to deal carefully with limits and infinite summations, approximations to pi and e, and the Taylor series. The module ends with the construction of the integral and the Fundamental Theorem of Calculus.

Introduction to Probability

This module takes you further in your exploration of probability and random outcomes. Starting with examples of discrete and continuous probability spaces, you’ll learn methods of counting (inclusion-exclusion formula and multinomial coefficients), and examine theoretical topics including independence of events and conditional probabilities. Using Bayes’ theorem you’ll reason about a range of problems involving belief updates, and engage with random variables, learning about probability mass, density and cumulative distribution functions, and the important families of distributions. Finally, you’ll study variance and co-variance, including Chebyshev’s and Cauchy-Schwarz inequalities. The module ends with a discussion of the celebrated Central Limit Theorem.

Year Two

Multivariable Calculus

There are many situations in pure and applied mathematics where the continuity and differentiability of a function f: R n. → R m has to be considered. Yet, partial derivatives, while easy to calculate, are not robust enough to yield a satisfactory differentiation theory. In this module you will establish the basic properties of this derivative, which will generalise those of single-variable calculus. The module will review line and surface integrals, introduce div, grad and curl and establish the divergence theorem.

Algebra I: Advanced Linear Algebra

On this course, you will develop and continue your study of linear algebra. You will develop methods for testing whether two general matrices are similar, and study quadratic forms. Finally, you will investigate matrices over the integers, and investigate what happens when we restrict methods of linear algebra to operations over the integers. This leads, perhaps unexpectedly, to a complete classification of finitely generated abelian groups. You will be familiarised with the Jordan canonical form of matrices and linear maps, bilinear forms, quadratic forms, and choosing canonical bases for these, and the theory and computation of the Smith normal form for matrices over the integers.

Analysis III

In this module, you will learn methods to prove that every continuous function can be integrated, and prove the fundamental theorem of calculus. You will discuss how integration can be applied to define some of the basic functions of analysis and to establish their fundamental properties. You will develop a working knowledge of the Riemann integral; understand uniform and pointwise convergence of functions; study complex differentiability (Cauchy-Riemann equations) and complex power series; study contour integrals, Cauchy's integral formulas and applications.

Algebra II: Groups and Rings

This course focuses on developing your understanding and application of the theories of groups and rings, improving your ability to manipulate them. Some of the results proved in MA242 Algebra I: Advanced Linear Algebra for abelian groups are true for groups in general. These include Lagrange's theorem, which says that the order of a subgroup of a finite group divides the order of the group. You will learn how to prove the isomorphism theorems for groups in general, and analogously, for rings. You will also encounter the Orbit-Stabiliser Theorem, the Chinese Remainder Theorem, and Gauss’ theorem on unique factorisation in polynomial rings.

Norms, Metrics and Topologies

Roughly speaking, a metric space is any set provided with a sensible notion of the “distance” between points. The ways in which distance is measured and the sets involved may be very diverse. For example, the set could be the sphere, and we could measure distance either along great circles or along straight lines through the globe; or the set could be New York and we could measure distance “as the crow flies” or by counting blocks. This module examines how the important concepts introduced in first-year Mathematical Analysis, such as convergence of sequences and continuity of functions, can be extended to general metric spaces. Applying these ideas we will be able to prove some powerful and important results, used in many parts of mathematics.

Second Year Essay

This module is made up of an essay and presentation. You will be given the opportunity of independent study with guidance from a Personal Tutor. It will provide you with an opportunity to learn some mathematics directly from books and other sources. It will allow you to develop your written and oral exposition skills. You will be able to develop your research skills, including planning, use of library and of the internet.

Year Three

There are no core modules. Instead you will select from an extensive range of optional modules in both mathematics and a range of other subjects from departments across the university. You will be able to take up to 50% (BSc) or 25% (MMath) of your options in subjects other than mathematics should you wish to do so.

Year Four

Research Project

Or

Maths-in-Action (MiA-Projects)

The primary aim of the Research Project is to give you experience of mathematics as it is being pursued close to the frontiers of research, not just as a spectator sport but as an engaging, evolving activity in which you can play a part. This project is primarily aimed at those who seek to further develop their skills in public speaking and writing. The project involves understanding deeply how mathematics underpins a particular topic in the modern world and then communicating this understanding in the form of a presentation to the general public, a written popular science article, and a written scholarly report at the MMath level.


Optional modules

Optional modules can vary from year to year. Example optional modules may include:

Optional modules

  • Mathematics: Knot Theory; Fractal Geometry; Population Dynamics - Ecology and Epidemiology; Number Theory
  • Statistics: Mathematical Finance; Brownian Motion; Medical Statistics; Designed Experiments
  • Computer Science: Complexity of Algorithms; Computer Graphics
  • Physics: Introduction to Astronomy; Introduction to Particle Physics; Quantum Phenomena; Nuclear Physics; Stars and Galaxies
  • Economics: Mathematical Economics
  • Other: Introduction to Secondary School Teaching; Climate Change; Language Options (at all levels)

Assessment

Most modules are assessed by 85% exam and 15% homework, or by 100% exam.

The Second Year Essay, Third Year Essay, and the MMath Project are assessed on the basis of an essay/dissertation and oral presentation.

Weighted 10:20:30:40

Teaching

Most of our teaching is through lectures delivered by a member of academic staff. Undergraduates usually take four or five modules in each of Term One and Term Two. Term Three is mostly for revision and examinations. Each module is usually taught in three one-hour lectures per week.

In your first year, you meet your supervisor (a graduate student or final year undergraduate) twice a week to discuss the course material and go over submitted work.

In your second and third years, lecture modules are accompanied by weekly support classes. Your personal tutor provides a further layer of learning and pastoral support.


Class sizes

Lectures vary from 10 to 400. Supervisions and tutorials are typically in groups of five.

Typical contact hours

Typical contact hours across lectures, seminars, supervisions etc: 18 hours/week during Term One and Term Two (15 hours of lectures and 3 hours of supervisions, problem classes and tutorials)

Tuition fees

Tuition fees cover the majority of the costs of your study, including teaching and assessment. Fees are charged at the start of each academic year. If you pay your fees directly to the University, you can choose to pay in instalments.

Undergraduate fees

If you are a home student enrolling in 2021, your annual tuition fees will be £9,250. In the future, these fees might change for new and continuing students.


2+2 course fees

If you are a home student enrolling in 2021 for a 2+2 course through the Centre for Lifelong Learning, your annual tuition fees will be £6,750. In the future, these fees might change for new and continuing students.


How are fees set?

The British Government sets tuition fee rates.

Learn more about fees from UCAS.

Undergraduate fees

If you are an EU student enrolling in 2021, the tuition fee will be charged in line with government policy and therefore the same as Overseas Tuition Fee rates.

For details please see Overseas students section below.

Undergraduate fees

If you are an overseas or EU student enrolling in 2021, your annual tuition fees will be as follows:

  • Band 1 – £21,220 per year (classroom-based courses, including Humanities and most Social Science courses)
  • Band 2 – £27,060 per year (laboratory-based courses, plus Theatre and Performance Studies, Economics, and courses provided by Warwick Business School, with exceptions)

Fees for 2022 entry have not been set. We will publish updated information here as soon as it becomes available, so please check back for updates about 2022 fee rates before you apply.


Fee status guidance

We carry out an initial fee status assessment based on the information you provide in your application. Students from 2021 entry will be classified as Home or EU/Overseas fee status. Your fee status determines tuition fees, and what financial support and scholarships may be available. If you receive an offer, your fee status will be clearly stated alongside the tuition fee information.

Do you need your fee classification to be reviewed?

If you believe that your fee status has been classified incorrectly, you can complete a fee status assessment questionnaire. Please follow the instructions in your offer information and provide the documents needed to reassess your status.

Find out more about how universities assess fee status.


Additional course costs

There may be extra costs related to your course for things such as stationery, books, materials and field trips.


Further information

Find out more about tuition fees from our Student Finance team.


Scholarships and bursaries

Learn about scholarships and bursaries available to undergraduate students.

We offer a number of undergraduate scholarships and bursaries to full-time undergraduate students. These include sporting and musical bursaries, and scholarships offered by commercial organisations.

Find out more about funding opportunities for full-time students.

If you are an international student, a limited number of scholarships may be available.

Find out more information on our international scholarship pages.


You may be eligible for financial help from your own government, from the British Council or from other funding agencies. You can usually request information on scholarships from the Ministry of Education in your home country, or from the local British Council office.


Warwick Undergraduate Global Excellence Scholarship 2021

We believe there should be no barrier to talent. That's why we are committed to offering a scholarship that makes it easier for gifted, ambitious international learners to pursue their academic interests at one of the UK's most prestigious universities. This new scheme will offer international fee-paying students 250 tuition fee discounts ranging from full fees to awards of £13,000 to £2,000 for the full duration of your Undergraduate degree course.

Find out more about the Warwick Undergraduate Global Excellence Scholarship 2021.

We provide extra financial support for qualifying students from lower income families. The Warwick Undergraduate Bursary is an annual award of up to £3,000 per annum. It is intended to help with course-related costs and you do not have to pay it back.

Find out more about your eligibility for the Warwick Undergraduate Bursary.

As part of the 'City of Sanctuary' movement, we are committed to building a culture of hospitality and welcome, especially for those seeking sanctuary from war and persecution. We provide a range of scholarships to enable people seeking sanctuary or asylum to progress to access university education.

Find out more about the Warwick Undergraduate Sanctuary Scholarships for asylum seekers.

Further information

Find out more about Warwick undergraduate bursaries and scholarships.

Eligibility for student loans

Your eligibility for student finance will depend on certain criteria, such as your nationality and residency status, your course, and previous study at higher education level.

Check if you're eligible for student finance.

Tuition Fee Loan

You can apply for a Tuition Fee Loan to cover your tuition fees. It is non-means tested, which means the amount you can receive is not based on your household income. The Loan is paid directly to the University so, if you choose to take the full Tuition Fee Loan, you won’t have to set up any payments.

Maintenance Loan for living costs

You can apply for a Maintenance Loan towards your living costs such as accommodation, food and bills. This loan is means-tested, so the amount you receive is partially based on your household income and whether you choose to live at home or in student accommodation.

Find out more about government student loans for home students residing in England.

Tuition Fee Loan

For the 2020 academic year, you can apply for a Tuition Fee Loan to cover your tuition fees if you’re from an EU country. It is non-means tested, which means the amount you can receive is not based on your household income. The Loan is paid directly to the University so, if you choose to take the full Tuition Fee Loan, you won’t have to set up any payments.

Help with living costs

For the 2020 academic year, you may be eligible for help with your living costs if you’ve lived in the UK for more than 5 years before the first day of the first academic year of your course.

If you are starting a course on or after 1 August 2021, you must have settled or pre-settled status under the EU Settlement Scheme to get student finance.

Find out more about government student loans for EU students.

Repaying your loans

You will repay your loan or loans gradually once you are working and earning above a certain amount (from April 2021 the repayment threshold is £27,295 and is expected to rise each year). Repayments will be taken directly from your salary if you are an employee. If your income falls below the earnings threshold, your repayments will stop until your income goes back up above this figure.

Find out more about repaying your student loan.

Placements and work experience

After Year Two, students can take a year’s placement to experience mathematics in an employment setting. The job must be deemed to provide learning experiences related to the degree course. A satisfactory placement leads to the award of a ‘BSc with Intercalated Year’ (and often to a potential job offer after graduation). The maths department is unfortunately unable to help with finding such placements.

Your career

Recent graduates have pursued job roles such as:

  • Actuaries, economists and statisticians
  • Software developers
  • Chartered and certified accountants
  • Finance and investment analysts
  • Teachers
  • Telecommunication designers
  • Data scientists and engineers
  • Academics

UK firms that have employed recent Warwick graduates from the Mathematics and Statistics Departments include:

  • Adder Technology
  • Amazon
  • BlackRock International
  • Merrill Lynch
  • Brainlabs
  • Civil Service
  • Conduent
  • Darktrace
  • Deloitte
  • Department of Health
  • eBay
  • Ford Motor Company
  • Fore Consulting
  • Goldman Sachs
  • Government Actuaries
  • Investec
  • Jane Street Capital
  • KPMG
  • Lloyds
  • MBDA
  • Metaswitch
  • Met Office
  • Ministry of Justice
  • RenaissanceRe (Syndicate 1458)
  • Oxford Clinical Trials Unit
  • Softwire
  • Solid Solutions
  • Sword Apak
  • Ten10
  • Towers Watson
  • Xafinity

Helping you find the right career

Our department has a dedicated professionally qualified Senior Careers Consultant to support you. They offer impartial advice and guidance, together with workshops and events throughout the year. Previous examples of workshops and events include:

  • Finding experience to boost your CV in Year One and Two
  • Careers in Data Science and Artificial Intelligence
  • Warwick careers fairs throughout the year
  • Interview skills for Statistics students
  • Maths and Stats Careers Fair

Find out more about careers support at Warwick.

Mathematics at Warwick

Looking for that perfect combination?

We offer a huge number of exciting modules allowing you to develop and pursue your interests within mathematics. Many 3rd and 4th year modules offer a glimpse of the latest developments in our research.

You are free to study maths throughout your course if you prefer. However, we also offer the opportunity to choose options from several other world-class departments at Warwick. This provides flexibility to tailor your degree to suit your interests, and also your potential career.

Find out more about us on our website


Our courses

Our challenging Maths BSc degree will harness your strong mathematical ability and commitment, enabling you to explore your passion for mathematics.

Mathematics (BSc)

Our four-year Maths MMath shares the same core as our BSc but enables you to explore in greater depth areas of interest, both through specialized fourth-year modules and via a substantial Research or Maths-in- Action project.

Mathematics (MMath)


Related degrees

Life at Warwick

Within a close-knit community of staff and students from all over the world, discover a campus alive with possibilities. A place where all the elements of your student experience come together in one place. Our supportive, energising, welcoming space creates the ideal environment for forging new connections, having fun and finding inspiration.

Keep exploring life at Warwick

Find out how to apply to us, ask your questions, and find out more.

Warwick Accommodation

Finding the right accommodation is key to helping you settle in quickly.

We have 12 self-catering undergraduate halls of residence on campus.

Our student property management and lettings agency manages more than 8,000 rooms both on and off campus, and provides advice to all full-time undergraduates.

Explore Warwick Accommodation

Our campus

You won't be short of ways to spend your time on campus - whether it's visiting Warwick Arts Centre, using our incredible new sports facilities, socialising in our bars, nightclub and cafés, or enjoying an open-air event. Or if you need some peace and quiet, you can explore lakes, woodland and green spaces just a few minutes’ walk from central campus.

Explore our campus

Food and drink

We have lots of cafés, restaurants and shops on campus. You can enjoy great quality food and drink, with plenty of choice for all tastes and budgets. There is a convenience store on central campus, as well as two supermarkets and a small shopping centre in the nearby Cannon Park Retail Park. Several of them offer delivery services to help you stay stocked up.

And don't miss our regular food market day on the Piazza with tempting, fresh and delicious street food. Soak up the atmosphere and try something new, with mouth-watering food for all tastes.

Explore food and shops

Explore Students' Union venues

Societies

Clubs and societies

We currently have more than 300 student-run societies.

So whether you’re into films, martial arts, astronomy, gaming or musical theatre, you can instantly connect with people with similar interests.

Or you could try something new, or even form your own society.

Explore our societies

Sport

Sports and fitness

Staying active at Warwick is no sweat, thanks to our amazing new Sports and Wellness Hub, indoor and outdoor tennis centre, 60 acres of sports pitches, and more than 60 sports clubs.

Whether you want to compete, relax or just have fun, you can achieve your fitness goals.

Explore sports at Warwick

Studying on campus

Our campus is designed to cater for all of your learning needs.

You will benefit from a variety of flexible, well-equipped study spaces and teaching facilities across the University.

  • The Oculus, our outstanding learning hub, houses state-of-the-art lecture theatres and innovative social learning and network areas.
  • The University Library provides access to over one million printed works and tens of thousands of electronic journals
  • Three Learning Grids offering you flexible individual and group study spaces.

Studying at Warwick

Local Life

Travel and local area

Our campus is in Coventry, a modern city with high street shops, restaurants, nightclubs and bars sitting alongside medieval monuments. The Warwickshire towns of Leamington Spa and Kenilworth are also nearby.

The University is close to major road, rail and air links. London is just an hour by direct train from Coventry, with Birmingham a 20-minute trip. Birmingham International Airport is nearby (a 20-minute drive).

Travelling from campus

Support and Wellbeing

Wellbeing support and faith provision

Our continuous support network is here to help you adjust to student life and to ensure you can easily access advice on many different issues. These may include managing your finances and workload, and settling into shared accommodation. We also have specialist disability and mental health support teams.

Our Chaplaincy is home to Chaplains from the Christian, Jewish and Muslim faiths. We provide regular services for all Christian denominations and a Shabbat meal every Friday for our Jewish students. There is also an Islamic prayer hall, halal kitchen and ablution facilities.

Student support

Chaplaincy

How to apply

Learn more about our application process.

Key dates

Key dates for your application to Warwick.

Writing your personal statement

Make an impression and demonstrate your passion for your course.

After you've applied

Find out how we process your application.

3 ways to connect

Talk to us

Join us at a live event. You can ask about courses, applying to Warwick, life at Warwick, visas and immigration, and more.

See event calendar


Warwick Experience

Take a virtual, student-led campus tour. Then join an interactive panel session, where you can hear from and chat to our current students and staff.

Book a tour


Student blogs

Explore our student blogs in OurWarwick. You can read about campus life from students themselves, and register to post questions directly to students.

Ask a student

Explore campus with our virtual tour

Our 360 tour lets you:

  • Watch student videos
  • View 360 photography and drone footage
  • Learn about facilities and landmarks

Explore our campus virtually through our 360 campus tour now

Come to an Open Day

Don’t just take it from us, come and see for yourself what Warwick is all about. Whether it's a virtual visit or in-person, our University Open Days give you the chance to meet staff and students, visit academic departments, tour the campus and get a real feel for life at Warwick.

Open Days at Warwick

Sign up for updates

Discover more about our courses and campus life with our helpful information and timely reminders.