Mathematics and Statistics
4 years full-time
The four-year MMath Maths and Stats course combines a strong foundation in core mathematics and statistics with exciting recent developments in statistics and machine learning, providing a unique preparation for our data-driven future.
A rigorous grounding in essential mathematical techniques and fundamental statistical principles and methods leads to the exploration of a wide range of topics central to modern statistics and machine learning, culminating in modules focusing on topics of current research interest and a year-long individual project module tackling a theoretical area or an applied problem in particular depth, possibly in collaboration with a company or other organisation.
The first year consists of 100 compulsory Mathematics credits:
- Analysis (20)
- Calculus (20)
- Linear Algebra (20)
- Dynamics (10)
- Probability (10)
- Programming (10)
- Statistics (10)
Together with a further 20 credits which can be chosen from:
- Discrete Mathematics (20)
- Any other available Sciences, Arts and Social Sciences modules (subject to pre-requisites and timetabling compatibility).
The first-year Mathematics modules expand and develop topics that may be familiar from A level (or equivalent), smoothing the transition to university study. Fundamental statistical methodologies are developed from first principles in the Statistics and Probability modules, providing a mathematical language and coherent conceptual framework with which to structure subsequent developments. Other modules equip you with the essential mathematical tools needed for further study.
In the second year, you will take four compulsory modules (60 credits):
- Analysis in Many Variables (20)
- Statistical Inference (20)
- Data Science and Statistical Computing (10)
- Statistical Modelling (10).
Together with a further 60 credits which can be chosen from a wide range, including:
- Complex Analysis (20)
- Numerical Analysis (20)
- Markov Chains (10)
- Mathematical Modelling (10)
- Probability (10).
The four compulsory modules will furnish you with the central mathematical, inferential, modelling, and computational tools needed for modern statistics and machine learning, as well as looking at important surrounding issues such as data governance. Further modules allow you to broaden or deepen your knowledge of particular topics or techniques.
In the third year, you choose from a range of modules on topics central to modern statistics and machine, including:
- Advanced Statistical Modelling (20)
- Bayesian Computation and Modelling (20)
- Decision Theory (20)
- Machine Learning and Neural Networks (20)
- Mathematical Finance (20)
- Stochastic Processes (20)
- Any other Level 3 modules offered by the Department of Mathematics
- Up to 20 credits chosen from modules offered by any other Board of Studies.
Many of these topics are linked to and informed by current research.
In the fourth year, you take a 40-credit capstone project module, tackling a theoretical area or an applied problem in particular depth. Subject to availability, this may be performed in collaboration with a company or other organisation. For the remaining 80 credits, you choose from a range of modules focusing on topics of current research interest, including:
- Spatio-Temporal Statistics (20)
- Deep Learning and Artificial Intelligence (10)
- Discrete and Continuous Probability (10)
- High-Dimensional Data Analysis (10)
- Non-Parametric Statistics (10)
- Object-Oriented Statistics (10)
- Robust Bayesian Analysis (10)
- Topics in Probability (10)
- Uncertainty Quantification (10).
PlacementYou may be able to take a work placement. Find out more.
Methods of teaching and learning used in the course include a mix of lectures, tutorials, problem classes, computer practicals, homework problems (including electronic assessment), written and oral presentations, and individual projects.
A variety of modes of assessment will be used and are likely to include written examinations, computer-based examinations, project reports, presentations of project work.
Much of the teaching in mathematics and statistics consists of 50-minute lectures (12 per week on average) in which lecturers will explain concepts, derive results, state and prove theorems, and work through analytical and computational examples, developing motivation, understanding, and technique. The best way to consolidate and fully internalise this knowledge is to use it.
In the first two years, lectures are supplemented by tutorials, informal small classes (about 12 in first year and 16 in second year) in which students work through problems and ask questions. You will have at least three per week during each of the first two years. Many of the statistics modules across all three years also include computer practicals, in which students learn how to implement computational methods and how to analyse real data. Homework problems and exercises are set in lectures, and your marked solutions may form the topic of discussion in a tutorial or problem class. You will be encouraged to work with other students, and to make use of the University's library and computing resources.
For an honours degree at Durham, you take the equivalent of six single modules each year, each with two lectures a week (apart from the project and teaching modules). In the first year, five of your modules will cover core material. These form the bedrock of your University education and range over a wide variety of topics, including fundamental material in probability and statistics. We recognise that our first-year class is not homogeneous; there are different A level syllabuses, and some students have non A level qualifications. Our first-year courses have been designed with this in mind. Consequently, we aim to fill gaps and consolidate previous knowledge during a good deal of the first term although you should find even familiar material presented in an interesting and more sophisticated way.
In the second year, the core comprises two full and two half modules covering inference in classical and Bayesian statistics, linear modelling, and computational statistics, as well as other vital data science topics. For the remainder of your time, you have the opportunity to choose those other areas of Mathematics and Statistics that appeal to you most.
In the third year, you choose a core module in either advanced statistical modelling or Bayesian computation and modelling. You are then free to choose the remaining three modules from a wide range of options in statistics, machine learning, and probability, as well as other mathematical topics.
You will also take a project module, worth 40 credits. The project allows you to learn about a particular statistical topic in particular depth, for example, or to perform an in-depth analysis of a data set using the tools that you have learned. Subject to availability, you may have the opportunity to perform this project in collaboration with a company or other organisation. You will acquire invaluable skills in writing and presenting work, independent study, and practical data science. Support is provided in the form of fortnightly small group meetings with lecturers, as well as meetings with third parties as appropriate.
We aim to encourage you to develop independence and self-motivation; for that reason we concentrate our tutorial support in the first two years and in the project module. However, help and advice is always available from lecturers. You will also have an advisor assigned to you throughout your time with us who can be relied on for help, in particular when choosing your path through the many modules available.
A level offer – A*A*A-A*AA
Suitable performance in the University Admission Tests TMUA or MAT or 2 in any STEP will lead to the lower A*AA offer (A*A in Mathematics and Further Mathematics, either way round plus A in any other A level or equivalent).
BTEC Level 3 National Extended Diploma / OCR Cambridge Technical Extended Diploma – D*D*D – D*DD and A level requirements as above.
IB Diploma score – 38 with 776 or 766 in higher level subjects, including Mathematics (maths analysis & approaches).
In addition to satisfying the University’s general entry requirements, please note that:
- We strongly encourage applicants to sit the University’s Admissions Test (*) if it is available to them, as we give a high weighting in our selection process to evidence of ability in Mathematics.
- We welcome applications from those with other qualifications equivalent to our standard entry requirements and from mature students with non-standard qualifications or who may have had a break in their study. Please contact our Admissions Selectors.
- If you are an international student who does not meet the requirements for direct entry to this degree you may be eligible to take an International Foundation Year pathway programme at the Durham University International Study Centre
- We are pleased to consider applications for deferred entry, although we advise you to make sure that you take steps to maintain your level of mathematical expertise.
(*) The University uses a national Admission Test in Mathematics (TMUA), in conjunction with the Cambridge Assessment Admissions Testing (CAAT). Test results will be sent by the CAAT directly to students at the end of November, and all information concerning the Test (including whether it was taken at all) will be provided to us by the applicants on an entirely voluntarily basis: suitable performance will entitle the applicant to the reduced A*AA offer. Taking part in the TMUA can therefore only increase the chances of receiving an offer. More information can be found on the Mathematics Department website, on the CAAT website and in most schools nationwide. (Schools that currently administer STEP and MAT will be automatically registered).
International students who do not meet direct entry requirements for this degree might have the option to complete an International Foundation Year.
Fees and funding
Full Time Fees
|Home students||£9,250 per year|
|EU students||£25,900 per year|
|Island students||£9,250 per year|
|International students||£25,900 per year|
The tuition fees shown for home students are for one complete academic year of full time study and are set according to the academic year of entry. Fees for subsequent years of your course may rise in line with an inflationary uplift as determined by the government.
The tuition fees shown for overseas and EU students are for one complete academic year of full time study, are set according to the academic year of entry, and remain the same throughout the duration of the programme for that cohort (unless otherwise stated).
Please also check costs for colleges and accommodation.
Scholarships and Bursaries
We are committed to supporting the best students irrespective of financial circumstances and are delighted to offer a range of funding opportunities.Find out more about Scholarships and Bursaries
Of those students who graduated in 2019:
- 94% are in paid employment or further study 15 months after graduation across all our programmes
Of those in employment:
- 89% are in high skilled employment
- With an average salary of £31,000.
(Source: HESA Graduate Outcomes Survey. The survey asks leavers from higher education what they are doing 15 months after graduation. Further information about the Graduate Outcomes survey can be found here www.graduateoutcomes.ac.uk)
We offer stimulating, flexible and intellectually satisfying degrees. Whether you are looking for a Single Honours degree, or wish to combine Mathematics with other subjects, Durham University offers a distinct blend of high-quality teaching and research along with excellent facilities and a stimulating environment for your studies.
Whichever degree you choose, you will benefit from research-led education by experts in a wide variety of fields across pure mathematics, applied mathematics, statistics and probability.
For more information visit our department pages.
- 4th in The Complete University Guide 2023
- Top 10 in The Guardian University Guide 2022
- 6th in The Times and Sunday Times Good University Guide 2022.
Research Excellence Framework
- 96%of our research outputs are world-leading or internationally excellent (REF 2021).
In addition to the large collection of mathematics books in the Bill Bryson Library, the college libraries may also have copies of recommended texts. The Department also provides a great deal of support material online and students are welcome to discuss any mathematical questions with their lecturers and tutors.
The best way to find out what Durham is really like is to come and see for yourself!