Mathematics BSc (UCAS G100) (2022 Entry)
Find out more about our Mathematics BSc at Warwick
Mathematics enhances your ability to think clearly, learn new ideas quickly, manipulate precise and intricate concepts, follow complex reasoning, construct logical arguments and expose dubious ones.
Our challenging Mathematics (BSc) degree will harness your strong mathematical ability and commitment, enabling you to explore your passion for mathematics.
General entry requirements
Admissions tests
Please note that the majority of applicants for 2022 entry will be required to take one of the following admissions tests. You can register for these tests via the following links:
- Mathematics Admissions Test (MAT)
- Test of Mathematics for University Admissions (TMUA)
- Sixth Term Examination Paper (STEP)
A levels
A level typical offer
A*A*A including A* in both Mathematics and Further Mathematics, plus grade 2 in any STEP (or a suitable grade in MAT or TMUA)
Students who achieve a sufficiently high score in MAT or TMUA will have the STEP condition removed. As guidance, in previous years our requirements have been 6.5 in TMUA or 64 in MAT. However, the exact thresholds will only be set after results for these qualifications have been released.
A level contextual offer
We welcome applications from candidates who meet the contextual eligibility criteria. The typical contextual offer is A*A*A with an A* in Mathematics and Further Mathematics. See if you're eligible.
General GCSE requirements
Unless specified differently above, you will also need a minimum of GCSE grade 4 or C (or an equivalent qualification) in English Language and either Mathematics or a Science subject. Find out more about our entry requirements and the qualifications we accept. We advise that you also check the English Language requirements for your course which may specify a higher GCSE English requirement. Please find the information about this below.
IB
IB typical offer
39 with 6 in three Higher Level subjects to include Mathematics ('Analysis and Approaches' only), plus grade 2 in any STEP (or a suitable grade in MAT or TMUA)
Students who achieve a sufficiently high score in MAT or TMUA will have the STEP condition removed. As guidance, in previous years our requirements have been 6.5 in TMUA or 64 in MAT. However, the exact thresholds will only be set after results for these qualifications have been released.
IB contextual offer
We welcome applications from candidates who meet the contextual eligibility criteria. The typical contextual offer is 38 with Higher Level 6,6,6 including Mathematics ('Analysis and Approaches' only). See if you're eligible.
General GCSE requirements
Unless specified differently above, you will also need a minimum of GCSE grade 4 or C (or an equivalent qualification) in English Language and either Mathematics or a Science subject. Find out more about our entry requirements and the qualifications we accept. We advise that you also check the English Language requirements for your course which may specify a higher GCSE English requirement. Please find the information about this below.
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 a Widening Participation programme or who meet 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 degrees 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 (fourth year for MMath only) modules offer glimpses of the latest research.
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 year comprises solely of optional modules.
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 50% of the third year can be in non-maths modules).
Year One
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.
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.
Methods of Mathematical Modelling I and II
In this module you will learn the modelling cycle and learn to analyse simple models, using scaling, non-dimensionalisation and linear stability analysis to understand the main dynamics. This will require the basic theory of ordinary differential equations (ODEs), the cornerstone of all applied mathematics. ODE theory later proves invaluable in branches of pure mathematics, such as geometry and topology. You will be introduced to simple differential and difference equations, methods for their solution and numerical approximation.
In the second term you will study the differential geometry of curves, calculus of functions of several variables, multi-dimensional integrals, calculus of vector functions of several variables (divergence and circulation), and their uses in line and surface integrals.
Algebra I and II
This first half of this module 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.
The second half concerns linear algebra, and addresses simultaneous linear equations. You will learn about the properties of vector spaces, linear mappings and their representation by matrices. 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.
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.
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
Methods of Mathematical Modelling 3
This module studies several topics commonly used in mathematical modelling: (i) optimisation problems require an understanding of critical points in multi-dimensions, and methods you will see the techniques of linear programming, least squares and regression, convexity, steepest descent algorithms, optimisation with constraints (applications include neural nets); (ii) The Fast Fourier Transform is used in signal processing and audio and video compression; (iii) Hilbert space theory is a framework for discussing orthogonal functions and their use in approximation problems.
Algebra 3
This course focuses on developing your understanding and application of the theories of groups and rings, improving your ability to manipulate them and extending the results from year one algebra. 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, and see applications in Number Theory, Geometry and Combinatorics.
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.
Analysis III
In the first half of this module, you will investigate some applications of year one analysis: integrals of limits and series; differentiation under an integral sign; a first look at Fourier series. In the second half you will study analysis of complex functions of a complex variable: contour integration and Cauchy’s theorem, and its application to Taylor and Laurent series and the evaluation of real integrals.
Scientific communication
This module includes an essay and presentation. You will be given the opportunity of independent study with guidance and feedback from your Personal Tutor. It will provide you with an opportunity to investigate some mathematics not covered in other modules, using a range of sources, and then develop your written and oral exposition skills.
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.
Optional modules
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 are assessed on the basis of an essay/dissertation and oral presentation.
Years One, Two and Three are weighted 10:30:60.
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 2024, your annual tuition fees will be £9,250. In the future, these fees might change for new and continuing students.
How are fees set?
The British Government sets tuition fee rates.
Undergraduate fees
If you are an overseas or EU student enrolling in 2024, your annual tuition fees will be as follows:
- Band 1 – £24,800 per year (classroom-based courses, including Humanities and most Social Science courses)
- Band 2 – £31,620 per year (laboratory-based courses, plus Maths, Statistics, Theatre and Performance Studies, Economics, and courses provided by Warwick Business School, with exceptions)
Fees for 2025 entry have not been set. We will publish updated information here as soon as it becomes available, so please check back for updates about 2025 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 will be classified as Home or 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.Link opens in a new window
Additional course costs
As well as tuition fees and living expenses, some courses may require you to cover the cost of field trips or costs associated with travel abroad.
For departmental specific costs, please see the Modules tab on this web page for the list of core and optional core modules with hyperlinks to our Module CatalogueLink opens in a new window (please visit the Department’s website if the Module Catalogue hyperlinks are not provided).
Associated costs can be found on the Study tab for each module listed in the Module Catalogue (please note most of the module content applies to 2024/25 year of study). Information about module specific costs should be considered in conjunction with the more general costs below:
- Core text books
- Printer credits
- Dissertation binding
- Robe hire for your degree ceremony
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.Link opens in a new window
If you are an international student, a limited number of scholarships may be available.
Find out more information on our international scholarship pages.Link opens in a new window
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
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.
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.
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.
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.
If you’re starting a course on or after 1 August 2021, you usually must have settled or pre-settled status under the EU Settlement SchemeLink opens in a new window to get student finance.
Tuition Fee Loan
If you are an EU student and eligible for student finance you may be able to get a Tuition Fee Loan to cover your fees. It is non-means tested, which means the amount you may 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 2024 academic year, you may be eligible for help with your living costs if both of the following apply:
- You have lived in the UK for more than 3 years before the first day of the first academic year of your course
And
- You have Settled Status (see further details on Settled Status)Link opens in a new window
If you are coming to the UK from 1st January 2021, you may need to apply for a visaLink opens in a new window to study here.
Please note: Irish citizens do not need to apply for a visa or to the EU Settlement Scheme.
Find out more about government student loans for EU studentsLink opens in a new window
Repaying your loans
You will repay your loan or loans gradually once you are working and earning above a certain amount. For students starting their course after 1 August 2023, the repayment threshold is £25,000. 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 loanLink opens in a new window.
Placements and work experience
After Year Two, students can take a year’s placement to experience mathematics in action. 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
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 websiteLink opens in a new window
Our courses
Our challenging Maths BSc degree will harness your strong mathematical ability and commitment, enabling you to explore your passion for mathematics.
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.
Related degrees
- Discrete Mathematics (BSc)
- Discrete Mathematics (MEng)
- Data Science (BSc)
- Data Science (MSci)
- Integrated Natural Sciences (MSci)
- Mathematics and Philosophy (BSc/BA)
- Mathematics and Physics (BSc)
- Mathematics and Physics (MMathPhys)
- Mathematics and Statistics (BSc)
- Mathematics and Statistics (MMathStat)
- MORSE (Mathematics, Operational Research, Statistics and Economics) (BSc)
- MMORSE (Mathematics, Operational Research, Statistics and Economics)
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.
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.
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.
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.
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.
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.
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.
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).
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.
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.
Our Admission Statement
Read Warwick's Admission Statement
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.
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.
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.
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.