Mathematics (3 years) at Durham University - UCAS

Course summary

The three-year BSc Mathematics course gives you the opportunity to study a wide range of mathematics topics, with a particularly large choice of modules in your final year. It will prepare you for many graduate jobs as well as for further study including the PGCE and many MSc courses in mathematics or related subjects. Our degree covers pure, applied, statistics and probability. You will cover the background to all areas in the first year, while in the second year you can begin to specialise if you want, allowing you to choose to fully specialise in one area, or to choose a broader range of modules in the third year. In your final year, you will develop your research and communication skills in the module Project III. Specific module availability may change slightly but currently the structure is as follows. Year 1 The first year consists of 100 compulsory Mathematics credits:

  • Analysis (20)
  • Linear Algebra (20)
  • Calculus (20)
  • Programming (10)
  • Dynamics (10)
  • Probability (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 prerequisites and timetabling).
In the Mathematics modules, topics that may be familiar from A level (or equivalent) are expanded and developed to help you adjust to university life, providing a sound foundation for your Mathematics degree and enabling you to make informed choices when picking modules from second year onwards. Year 2 In the second year you will choose six Maths modules. You will take two compulsory modules:
  • Complex Analysis
  • Analysis in Many Variables
Together with modules from a range which includes:
  • Numerical Analysis
  • Statistical Concepts
  • Mathematical Physics
  • Algebra
  • A combination of two shorter courses on a wide range of mathematical topics – Elementary Number Theory, Probability, Mathematical Modelling, Geometric Topology, Monte Carlo, Actuarial Mathematics, and Special Relativity and Electromagnetism.
At this stage you can begin to specialise in areas of pure mathematics, applied mathematics, statistics and probability although you can also maintain a wide range of options for the third year. Year 3 In the third year you take Project III and also choose four taught modules from a wide choice of around 20 modules covering a variety of topics in areas such as algebra, geometry, topology, applied mathematics, mathematical physics, statistics and probability, together with options including Mathematical Finance and Mathematical Biology. Many of these topics are closely linked to and informed by current research. The Mathematics Teaching module involves studying issues related to school mathematics education, observing lessons in a secondary school, and also includes a project. Project III is a more in-depth double module. The projects give you the opportunity to investigate a mathematical topic of interest, and you will produce a written report and give a short presentation. This develops your research and communication skills which are important for future employment or postgraduate studies. Placement Year You may be able to take a work placement. Find out more:


Year 1 Core modules: Calculus builds on ideas of differentiation and integration in A level mathematics, beginning with functions of a single variable and moving on to functions of several variables. Topics include methods of solving ordinary and partial differential equations, and an introduction to Fourier Series and Fourier transforms. Linear Algebra presents mathematical ideas, techniques in linear algebra and develops the geometric intuition and familiarity with vector methods in preparation for more challenging material later in the course. Analysis aims to provide an understanding of real and complex number systems, and to develop rigorously the calculus of functions of a single variable from basic principles. Programming is taught via lectures and practical sessions that introduce basic principles and basic competence in computer programming. You will also study control structures; floating point arithmetic; and lists, strings and introduction to objects. Dynamics develops an understanding of elementary classical Newtonian dynamics as well as an ability to formulate and solve basic problems in dynamics. Probability introduces mathematics ideas on probability in preparation for more demanding material later in the course. The module presents a mathematical subject of key importance to the real-world (applied) that is based on rigorous mathematical foundations (pure). Statistics introduces frequentist and Bayesian statistics and demonstrates the relevance of these principles and procedures to real problems. This module lays the foundations for all subsequent study of statistics. Year 2 Core modules: Complex Analysis introduces the theory of complex analysis through the study of complex differentiation; conformal mappings; metric spaces; series and uniform convergence; contour integrals and calculus of residues; and applications. Analysis in Many Variables provides an understanding of calculus in more than one dimension, together with an understanding of, and facility with, the methods of vector calculus. It also explores the application of these ideas to a range of forms of integration and to solutions of a range of classical partial differential equations. Examples of optional modules: Algebra Mathematical Physics Numerical Analysis Statistical Inference Data Science and Statistical Computing Elementary Number Theory Geometric Topology Markov Chains Mathematical Modelling Probability Special Relativity and Electromagnetism Statistical Modelling. Year 3 (Year 4 if undertaking a placement year or year abroad) Core module: in the final-year Project you will investigate a mathematical topic of interest and then produce a written report and give a short presentation. The project develops your research and communication skills which are important for future employment or postgraduate studies. Examples of optional modules: Analysis Cryptography and Codes Differential Geometry Fluid Mechanics Galois Theory Geometry of Mathematical Physics Mathematical Biology Operations Research Partial Differential Equations Quantum Mechanics Solitons Topology.

Assessment method

Most of your modules are assessed by end-of-year examinations. In your final year you also complete a project which is worth one-third of your final-year marks, it includes a written project report, a poster and a short presentation on your chosen topic.

How to apply

This course has limited vacancies, and is no longer accepting applications from some students. See the list below for where you normally live, to check if you’re eligible to apply.






Northern Ireland

Republic of Ireland

Application codes

Course code:
Institution code:
Campus name:
Durham City
Campus code:

Points of entry

The following entry points are available for this course:

  • Year 1

Entry requirements

Qualification requirements

Contextual Offers: Our contextual offer for this programme is A level A*AB including A*A in Mathematics and Further Mathematics in any order or A*A*C including A*A* in Mathematics and Further Mathematics (or equivalent). To find out if you’re eligible, please visit: Maths Tests: 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. TMUA: MAT: STEP:

Please click the following link to find out more about qualification requirements for this course

English language requirements

Durham University welcomes applications from all students irrespective of background. We encourage the recruitment of academically well-qualified and highly motivated students, who are non-native speakers of English, whose full potential can be realised with a limited amount of English Language training either prior to entry or through pre-sessional and/or in-sessional courses. It is the normal expectation that candidates for admission should be able to demonstrate satisfactory English proficiency before the start of a programme of study, whether via the submission of an appropriate English language qualification or by attendance on an appropriate pre-sessional course. Acceptable evidence and levels required can be viewed by following the link provided.

English language requirements

Fees and funding

Tuition fees

Republic of Ireland £9250 Year 1
Channel Islands £9250 Year 1
EU £27000 Year 1
England £9250 Year 1
Northern Ireland £9250 Year 1
Scotland £9250 Year 1
Wales £9250 Year 1
International £27000 Year 1

Tuition fee status depends on a number of criteria and varies according to where in the UK you will study. For further guidance on the criteria for home or overseas tuition fees, please refer to the UKCISA website .

Additional fee information

There may also be additional course costs for things like books (if you want to purchase them), field trips etc.

Provider information

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Durham University
The Palatine Centre
Stockton Road

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0800 987 4120

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Additional information

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Mathematics (3 years) at Durham University - UCAS