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Durham University


G114 Mathematics and Statistics MMath Undergraduate 2021


Please note: 2021-22 courses may be affected by Covid-19 and are therefore subject to change due to the ongoing impact of Covid-19. Applicants will be informed of any changes which we are required to make to course entries as a result of Covid-19.

UCAS code G114
Degree MMath
Mode of study Full Time
Duration 4 years
Location Durham City
Typical Offers A Level
International Baccalaureate
Please also check Requirements and Admissions.
Alternative qualifications
Contextual Offers You may be eligible for an offer which is one or two grades lower than our standard entry requirements. Find out more.
More information Still have questions?
Department(s) Website

Course Summary


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.

Year 1

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.

Year 2

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.

Year 3

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.

Year 4

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).

Study Abroad

We are part of the SOCRATES / ERASMUS programme which encourages students to study for part of their course in university of another EU country.  We have links with universities where courses are taught in French, German, Italian and Spanish – currently in Berlin, Bochum, Bologna, Chambery, Duisburg, Fribourg, Granada, Mons and Strasbourg.  Admission to any of our partner universities via the Erasmus programme is contingent upon admittance by the host institution, availability of places, suitable modules in the corresponding academic year, and renewal of requisite exchange agreements.

Placement Year

You may be able to take a work placement. Find out more.

Course Learning and Teaching

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.

Admissions Process

Subject requirements, level and grade

A level offer – A*A*A-A*AA

Suitable performance in the University Admission Tests TMUA or MAT or 1 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).

English Language requirements

Please check requirements for your subject and level of study.

How to apply

Information relevant to your country

Fees and Funding

Full Time Fees

EU Student £23,400.00 per year
Home Student £9,250.00 per year
Island Student £9,250.00 per year
International non-EU Student £23,400.00 per year

International applicants for this course are automatically considered for the International Excellence Scholarships 

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 funding 

Career Opportunities

Mathematical Sciences

Of those students who graduated in 2018:

  • 86% are in paid employment or further study 15 months after graduation across all our programmes

Of those in employment:

  • 100% are in a professional or managerial job
  • Average salary of £30,000.

(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

Open days and visits

Pre-application open day

Pre-application open days are the best way to discover all you need to know about Durham University. With representatives from all relevant academic and support service departments, and opportunities to explore college options, the open days provide our prospective undergraduates with the full experience of Durham University.

Please see the following page for further details and information on how to book a place:

Discover Durham Tours

Discover Durham tours offer a brief introduction to the University. The tour begins at one of our undergraduate colleges, where you will receive an introductory talk from a member of college staff, followed by a tour of the college by current students.

Overseas Visit Schedule

Department Information

Mathematical Sciences


We offer stimulating, flexible and intellectually satisfying degrees. Whether you are looking for a Single Honours degree, or

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.

  • 4th in The Complete University Guide 2021.
  • 6th in The Guardian University Guide 2021.
  • 7th in The Times and Sunday Times Good University Guide 2021.


For a current list of staff, please see the Mathematical Sciences department web pages.


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.


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