Mathematics and Statistics (MMathStat) (Full-Time, 2022 Entry)
Explore our Mathematics and Statistics MMathStat course 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.
The demand for mathematical statisticians has expanded so rapidly in recent years that both within and outside the academic world there is a severe shortage of well-qualified people.
General entry requirements
A levels
A level typical offer
A*A*A to include A* A* in Mathematics and Further Mathematics
Or
A*AA to include A* A (in any order) in Mathematics and Further Mathematics and one of the following:
- STEP (grade 2)
- TMUA (score 6.5)
Or
A*A*A*A to include A* A (in any order) in Mathematics and Further Mathematics
Where an applicant is unable to study A Level Further Mathematics, they may be considered with grades A*A*A* including Mathematics. Please see the Department of Statistics webpage for further information.
A level contextual offer
We welcome applications from candidates who meet the contextual eligibility criteria. The typical contextual offer is A*A*B, including A* in Mathematics and A* in Further Mathematics; or A*AB including A*, A in Mathematics and Further Mathematics (any order), plus grade 2 in any STEP/6.5 in TMUA. 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 overall to include 7 in Higher Level Mathematics 'Analysis and Approaches'
Or
38 overall to include 6 in Higher Level Mathematics 'Analysis and Approaches' and one of the following:
- STEP (grade 2)
- TMUA (score 6.5)
Or
38 overall to include 7 in Higher Level Mathematics 'Applications and Interpretations' and one of the following:
- STEP (grade 2)
- TMUA (score 6.5)
Alternative offers and additional requirements:
Find out more about our typical conditional offers.
You will also need to meet our English Language requirements.
IB contextual offer
We welcome applications from candidates who meet the contextual eligibility criteria. The typical contextual offer is 37, including 7 in Higher Level Mathematics (‘Analysis and Approaches’ only) or 38 overall including 6 in Higher Level Mathematics (‘Analysis and Approaches’ only), plus 2 in any STEP/6 in TMUA. 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 will consider Level 3 BTECs alongside two A Levels including A Level Maths.
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
The demand for mathematical statisticians has expanded so rapidly in recent years that both within and outside the academic world there is a severe shortage of well-qualified people. These degrees enable you to specialise in both pure mathematics and statistics. They offer flexibility and a wide choice of options in Computing, Operational Research and all the other topics available to Mathematics students.
The BSc and MMathStat are the same for the first two years of study, making it easy to reconsider your preference in the second year. Differences become apparent in the final years, with the MMathStat degree offering a supervised research project and the possibility to specialise in areas such as advanced statistics, biostatistics, computational statistics, actuarial and financial mathematics, and probability.
Study abroad
We support student mobility through study abroad programmes and all students have the opportunity to apply for an intercalated year abroad at one of our partner universities.
The Study Abroad TeamLink opens in a new window based in the Office for Student Opportunity offers support for these activities, and the Department's dedicated Study Abroad Co-ordinator can provide more specific information and assistance.
Core modules
You will learn through a combination of lectures, small-group tutorials and practical sessions based in the Department's well-equipped undergraduate computing laboratory. A central part of learning in Mathematics and Statistics is problem solving. We encourage and guide students in tackling a variety of theoretical exercises and computing tasks.
Core first and second-year modules covering probability, sets, mathematical statistics, linear algebra and modelling build a solid foundation of essential mathematical and statistical knowledge and skills. You will also have flexibility to choose some options.
In your third year, you will select half of your modules from Statistics and half from further options available in Statistics, Mathematics and other selected Departments.
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.
Analysis 1/2
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 also covers construction of the integral and the Fundamental Theorem of Calculus.
Sets and Numbers
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 most 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.
Introduction to Statistical Modelling
This module is an introduction to statistical thinking and inference. You’ll learn how the concepts you met from Probability can be used to construct a statistical model – a coherent explanation for data. You’ll be able to propose appropriate models for some simple datasets, and along the way you’ll discover how a function called the likelihood plays a key role in the foundations of statistical inference. You will also be introduced to the fundamental ideas of regression. Using the R software package you’ll become familiar with the statistical analysis pipeline: exploratory data analysis, formulating a model, assessing its fit, and visualising and communicating results. The module also prepares you for a more in-depth look at Mathematical Statistics in Year Two.
Probability 1
Probability is a foundational module that will introduce you both to the important concepts in probability but also the key notions of mathematical formalism and problem-solving. Want to think like a mathematician? This module is for you. You will learn how to to express mathematical concepts clearly and precisely and how to construct rigorous mathematical arguments through examples from probability, enhancing your mathematical and logical reasoning skills. You will also develop your ability to calculate using probabilities and expectations by experimenting with random outcomes through the notion of events and their probability. You’ll learn counting methods (inclusion–exclusion formula and binomial co-efficients), and study theoretical topics including conditional probability and Bayes’ Theorem.
Probability 2
This module continues from Probability 1, which prepares you to investigate probability theory in further detail here. Now you will look at examples of both discrete and continuous probability spaces. You’ll scrutinise important families of distributions and the distribution of random variables, and the light this shines on the properties of expectation. You’ll examine mean, variance and co-variance of distribution, through Chebyshev's and Cauchy-Schwarz inequalities, as well as the concept of conditional expectation. The module provides important grounding for later study in advanced probability, statistical modelling, and other areas of potential specialisation such as mathematical finance.
Year Two
Metric Spaces
A metric space is any set provided with a sensible notion of the `distance’ between points. In this module, you will examine how concepts such as convergence of sequences, continuity of functions and completeness can be extended to general metric spaces. This enables you to prove some powerful and important results, used in many parts of mathematics. Describing continuity in terms of open subsets takes you to the more general context of a topological space, where, instead of a distance, it is declared which subsets are open. You will be able to work with continuous functions, and recognise whether spaces are connected, compact or complete.
Stochastic Processes
The concept of a stochastic (developing randomly over time) process is a useful and surprisingly beautiful mathematical tool in economics, biology, psychology and operations research. In studying the ideas governing stochastic processes, you’ll learn in detail about random walks – the building blocks for constructing other processes as well as being important in their own right, and a special kind of ‘memoryless’ stochastic process known as a Markov chain, which has an enormous range of application and a large and beautiful underlying theory. Your understanding will extend to notions of behaviour, including transience, recurrence and equilibrium, and you will apply these ideas to problems in probability theory.
Mathematical Methods for Statistics and Probability
Following the mathematical modules in Year One, you’ll gain expertise in the application of mathematical techniques to probability and statistics. For example, you’ll be able to adapt the techniques of calculus to compute expectations and conditional distributions relating to a random vector, and you’ll encounter the matrix theory needed to understand covariance structure. You’ll also gain a grounding in the linear algebra underlying regression (such as inner product spaces and orthogonalization). By the end of your course, expect to apply multivariate calculus (integration, calculation of under-surface volumes, variable formulae and Fubini’s Theorem), to use partial derivatives, to derive critical points and extrema, and to understand constrained optimisation. You’ll also work on eigenvalues and eigenvectors, diagonalisation, orthogonal bases and orthonormalisation.
Probability for Mathematical Statistics
If you have already completed Probability in Year One, on this module you’ll have the opportunity to acquire the knowledge you need to study more advanced topics in probability and to understand the bridge between probability and statistics. You’ll study discrete, continuous and multivariate distributions in greater depth, and also learn about Jacobian transformation formula, conditional and multivariate Gaussian distributions, and the related distributions Chi-squared, Student’s and Fisher. You will also cover more advanced topics including moment-generating functions for random variables, notions of convergence, and the Law of Large Numbers and the Central Limit Theorem.
Mathematical Statistics
If you’ve completed “Probability for Mathematical Statistics”, this second-term module is your next step, where you’ll study in detail the major ideas behind statistical inference, with an emphasis on statistical modelling and likelihoods. You’ll learn how to estimate the parameters of a statistical model through the theory of estimators, and how to choose between competing explanations of your data through model selection. This leads you on to important concepts including hypothesis testing, p-values, and confidence intervals, ideas widely used across numerous scientific disciplines. You’ll also discover the ideas underlying Bayesian statistics, a flexible and intuitive approach to inference which is especially amenable to modern computational techniques. Overall this module will provide you a very firm foundation for your future engagement in advanced statistics – in your final years and beyond.
Linear Statistical Modelling with R
This module runs in parallel with Mathematical Statistics and gives you hands-on experience in using some of the ideas you saw there. The centrepiece of this module is the notion of a linear model, which allows you to formulate a regression model to explain the relationship between predictor variables and response variables. You will discover key ideas of regression (such as residuals, diagnostics, sampling distributions, least squares estimators, analysis of variance, t-tests and F-tests) and you will analyse estimators for a variety of regression problems. This module has a strong practical component and you will use the software package R to analyse datasets, including exploratory data analysis, fitting and assessing linear models, and communicating your results. The module will prepare you for numerous final years modules, notably the Year Three module covering the (even more flexible) generalised linear models.
Final Years
The third year of MMathStat includes compulsory modules on advanced probability and statistical modelling and many optional modules. Overall you must take at least five statistics modules and at least two mathematics modules. The fourth (final) year of MMathStat offers many options in statistics, mathematics and beyond, and you also choose a Master's level dissertation topic from a wide selection of areas in statistics.
Optional modules
- Differential Equations
- Introduction to Quantitative Economics
- Geometry
- Groups and Rings
- Games and Decisions
- Introduction to Mathematical Finance
- Professional Practice of Data Analysis
- Programming for Data Science
Assessment
You will be assessed by a combination of closed and open-book examinations, continuous assessment and project work, depending on your options.
Your final year will include a significant project including a presentation, academic poster and dissertation.
The first year counts 10%, the second year 20%, the third year 30% and the fourth year 40% towards the final integrated masters degree mark.
Teaching
The curriculum is divided up into modules consisting of lectures and assessments, which are often supplemented by smaller group teaching such as tutorials, supervisions and computer labs.
Homework assignments are often biweekly and the expectation is that students work hard trying to tackle problems covering a range of levels of difficulty.
Class sizes
Class sizes vary from 15 students for selected optional modules up to 350 students for some core modules. Support classes usually consist of 15 students.
Typical contact hours
Contact time is around 15 hours a week.
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
You may additionally choose to spend an 'intercalated' year in an approved industry, business or university between your last two years at Warwick.
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
- Astra Zeneca
- 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
Supporting your 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 options with a degree in Statistics
- Warwick careers fairs throughout the year
- Interview skills for Statistics students
- Maths and Stats Careers Fair
Find out more about careers support at Warwick.Link opens in a new window
Statistics at Warwick
Find out more about us on our websiteLink opens in a new window
Our courses
- Data Science (BSc)
- Data Science (MSci)
- Mathematics and Statistics (BSc)
- Mathematics and Statistics (MMathStat)
- MORSE (Mathematics, Operational Research, Statistics and Economics) (BSc)
- MMORSE (Mathematics, Operational Research, Statistics and Economics)
Related degrees
Life at Warwick
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Find out how to apply to us, ask your questions, and find out more.
Warwick Accommodation
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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.
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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.
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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.
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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
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Writing your personal statement
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After you've applied
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Our Admission Statement
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