G114 Mathematics and Statistics MMath Undergraduate 2020
|Mode of study||Full Time|
|Typical Offers||A Level|
|Please also check Requirements and Admissions.|
|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?|
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 organization.
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 organization. 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)
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.
You may be able to take a work placement. Find out more.
Course Learning and Teaching
Methods of teaching and learning used in the programme 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 internalize 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 recognize 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 organization. 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.
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.
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 durhamisc.com
- 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||£9,250.00 per year|
|Home Student||£9,250.00 per year|
|Island Student||£9,250.00 per year|
|International non-EU Student||£22,100.00 per year|
International applicants for this course are automatically considered for the International Excellence Scholarships
The tuition fees shown for home and EU 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 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
The overall aim of our honours mathematics programmes is to train our students as members of the community of professional mathematicians. Our programmes aim to develop students' capacity for critical thinking, problem-solving and independent learning, which will enable our students to meet a variety of challenges. We seek to develop both the generic and subject-specific skills required to equip our students to pursue a range of careers.
Opportunities for students to develop their understanding of mathematics as a professional practice and to prepare for work are not only provided by the formal degree programme. The department works closely with its students through the undergraduate MathSoc to attract exciting external speakers for its undergraduate colloquium programme.
Attributes gained from a Durham University degree include critical thinking, an analytical approach and ability to reason with information; alongside experience in building relationships and leading teams. These skills are put into daily practice in Professional Services and is why, year on year, we return to Durham University to recruit such talented individuals into our Firm.
Of those students that left in 2017:
- 87% of Mathematical Sciences leavers secured employment and/or have gone to further study within 6 months of graduating
Of those in employment:
- 93% are in graduate level employment
- Median salary £28,500
Of those in further study:
- 93% are in graduate level study
(Source: Destinations of Leavers from Higher Education (DLHE) survey of 2016/17 graduates. The DLHE survey asks leavers from higher education what they are doing six months after graduation. Full definitions for the DLHE Record can be found here:www.hesa.ac.uk/support/definitions/destinations)
A significant number of Mathematical Sciences students progress onto higher level study following their degree. Some remain within their academic field of interest and pursue higher level research, notably at Durham but also other prestigious institutions including Bath, Cambridge, Imperial College London, Leeds and Sheffield. Others take a different route and pursue postgraduate programmes in related and non- related areas such as statistics, financial management, I.T software, environment/ conservation and teaching .
We have found Durham students to be adaptable, eager to learn and probably most important, able to get on with people very easily
Employability development opportunities
- Careers presentations Presentations are delivered within the Department for the whole range of students, from the first year to penultimate and final year undergraduates.
- Employability skills workshops These are delivered by employers on a range of skills related topics to give you the best chance of success in your internship and graduate job applications. More information is available here.
- Student led activities The department encourages and initiates student led careers activities. They include the invitation of external speakers in the undergraduate colloquium as well as relevant workshops (recently on interview and assessment training and presentation skills). There is also a web page on careers created by students.
- Careers information online A DUO resource has been created with information for undergraduate and graduate students as well as staff. There are also forums for students to discuss experiences and for the department to publicise vacancies and opportunities.
- Departmental advisors As part of their general advice to students, departmental careers advisors encourage students to plan for their future careers, and can help students needing additional support who are encouraged to attend 1:1 Careers interviews.
- Careers Centre website This is a very useful resource which details the full range of services available, along with excellent tips and advice to help you investigate the range of careers available.
Durham University Mathematical Sciences graduates progress into a diverse range of careers and employment sectors. The public, and private sectors are all represented with graduates entering professions such as Accountancy, Actuarial Consultancy, Tax Adviser, Software Engineering, Teaching , Retail Management, Investment Analyst, Insurance, Operations Research, Statistician, Recruitment Consulting, Armed Services Officer and Public Health Information Analyst.
Examples of high profile recent employers include Ernst & Young, Goldman Sachs, RAF, Mars, NHS, HMRC Lane Clark & Peacock, Co-operative Group, BT, Deloitte.
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: www.durham.ac.uk/opendays
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
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.
- 5th in The Times and Sunday Times Good University Guide 2019.
- 6th in The Complete University Guide 2019.
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.