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Degree type

BSc

Course length

3 years full-time

Location

Durham City

Degree type

BSc

Course length

3 years full-time

Location

Durham City

UCAS code

G100

UCAS code

G100

Ready to Apply?

Typical offers

Typical offers
A Level A*A*A/A*AA
BTEC D*D*D/D*DD
International Baccalaureate 38

Course details

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

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

Typical offers

Typical offers
A Level A*A*A/A*AA
BTEC D*D*D/D*DD
International Baccalaureate 38

Course details

Mathematics is all around us. From accounting to architecture, engineering to software development, mathematics plays a central role in our data-driven world. The study of maths develops the analytical, critical thinking, reasoning and problem-solving skills that are valued by employers and form the basis for a wide range of careers.

When you choose maths you’ll be taught by a team of mathematicians with a passion for sharing the beauty of mathematics and a wealth of experience in research across the spectrum of pure and applied mathematics and statistics. And with many of the teaching team actively involved at the forefront of research, the degree is designed to link learning to research in distinctive and creative ways.

The BSc Mathematics is housed in a brand-new facility, purpose-built to meet the learning, teaching and study needs of students from the Department.

The first year of the course begins with a broad-based introduction to pure and applied mathematics, statistics and probability and provides a sound foundation for in-depth study in subsequent years. As you move into the second year the structure offers more flexibility, enabling you to shape your degree around one specific area or continue developing your skills across a wide range of subjects.

During the final year the range of optional modules expands further with a choice of around 20 different areas. The degree culminates in a project that gives you the opportunity to investigate a mathematical topic of interest in depth.

You can also apply to add a placement year or a year abroad to your degree, increasing the course from three years to four.

Course structure

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.

Additional pathways

Students on the BSc Mathematics can apply to be transferred onto either the ‘with Year Abroad’ or ‘with Placement’ pathway during the second year. Places on these pathways are in high demand and if you are chosen your studies will extend from three years to four.

Placement

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

Learning

Most of the teaching in mathematics consists of 50-minute lectures (12 per week on average) in which lecturers will derive theorems and work through examples, constructing arguments piece by piece and in real time, developing strategies and motivation. The best way to learn Maths is to actually do it by working through problems in tutorials and assignments, so in the first two years lectures are supplemented by tutorials, which are held in groups of about 12 in the first year and 16 in the second. They are informal and provide an opportunity to raise any questions you may have. You will have at least three per week during each of the first two years. Problems are set in lectures on a weekly basis, 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. 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.

There are two core modules in the second year. For the remainder of your time you have the opportunity to choose those areas of Mathematics and Statistics which appeal to you most. You can begin to specialise, or if you prefer, study a wide range of subjects.

In the third year, you will take a project module. The project allows you to treat a particular mathematical topic in depth. Typically the projects are organised around fortnightly small group meetings with lecturers and involve presentations and poster design as well as the writing of a detailed dissertation. You are free to choose the remaining four modules from a wide range of options. One option is a teaching module in which you study and observe how pupils learn in school, look at elementary mathematics from an advanced standpoint and look at current educational issues, presenting your findings in a talk and a written report.

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 in choosing your path through the many modules available.

Entry requirements

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). Otherwise, the standard offer is A*A*A (A*A* in Mathematics and Further Mathematics 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 our offers consist of:

  • 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).

Science A levels

Applicants taking Science A levels that include a practical component will be required to take and pass this as a condition of entry. This applies only to applicants sitting A levels with an English examination board.

Alternative qualifications

International students who do not meet direct entry requirements for this degree might have the option to complete an International Foundation Year.

English language requirements

Country specific information

Fees and funding

Full Time Fees

Tuition 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

Career opportunities

Mathematical Sciences

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)

Department information

Mathematical Sciences

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.

Rankings

  • 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.

Staff

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

Research Excellence Framework

  • 96%of our research outputs are world-leading or internationally excellent (REF 2021).

Facilities

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.

Apply

Find out more:

Use the UCAS code below when applying:

Apply

G100

The Universities and Colleges Admissions Service (UCAS) handles applications for all undergraduate courses.

Learning

Methods of teaching and learning on the BSc Mathematics include lectures, tutorials, problem classes, computer practicals, homework problems, written and oral presentations, and individual projects.

For most modules you will attend two lectures a week. Mathematical questions are set in lectures and may form the topic of discussion in tutorials or problem classes. The best way to learn maths is to work through problems, so in addition to independent study we recommend collaborative working with other students.

Your final-year project is organised around weekly small-group or individual meetings with lecturers. You are free to choose the remaining modules from a wide range of options, one of which is a teaching module in which you study how pupils learn in school.

Assessment

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.

Entry requirements

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). Otherwise, the standard offer is A*A*A (A*A* in Mathematics and Further Mathematics 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 our offers consist of:

  • 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).

Science A levels

Applicants taking Science A levels that include a practical component will be required to take and pass this as a condition of entry. This applies only to applicants sitting A levels with an English examination board.

Alternative qualifications

International students who do not meet direct entry requirements for this degree might have the option to complete an International Foundation Year.

English language requirements

Country specific information

Fees and funding

The tuition fees for 2024/25 academic year have not yet been finalised, they will be displayed here once approved.

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

Career opportunities

Mathematical Sciences

As well as developing you academically, a Durham University degree will equip you with a range of practical skills including critical thinking, an analytical approach and ability to reason with information, alongside experience in building relationships and leading teams.

A significant number of our students progress to 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. Others take a different route and pursue postgraduate programmes or employment in areas from statistics and financial management to conservation and teaching.

Some of the high-profile employers our graduates have gone on to work for include Royal London, Deloitte, CERN, Morgan Stanley and Ocado.

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)

Department information

Mathematical Sciences

Mathematical Sciences offers a high-quality education that is taught by subject specialists, informed by the latest research and delivered in a stimulating academic environment. Using distinctive and creative methods, we do all we can to incorporate relevant aspects of the Department’s world-leading research into the undergraduate curriculum.

We offer a range of degrees which give you a choice from a wide spectrum of pure mathematics, applied mathematics (including mathematical physics) and statistics.

The overall aim is to develop you as a member of the community of professional mathematicians. Degrees combine theoretical learning with practicals and mini projects, enabling you to develop your capacity for critical thinking, problem-solving and independent learning, which will equip you with the skills to meet a variety of challenges in the workplace. We seek to develop both the generic and subject-specific skills you need to pursue a range of careers, and to further develop your skills we offer the opportunity to spend a year studying overseas or working in industry.

For more information visit our department pages.

Rankings

  • 4th in The Complete University Guide 2023

Staff

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

Research Excellence Framework

  • 96% of our research outputs are world-leading or internationally excellent (REF 2021).

Facilities

The Department lies in the heart of the University on the Upper Mountjoy campus near to the University library and the science and engineering departments. We share our purpose-built £40 million new building with Computer Sciences given the natural synergy between the subjects. It is also home to several supercomputers, keeping our education at the forefront of innovation.

The building provides cutting-edge learning, teaching and study areas, with plenty of space for group work to deepen the Durham experience and enhance the staff-student relationship.

Apply

Find out more:

Use the UCAS code below when applying:

Apply

G100

The Universities and Colleges Admissions Service (UCAS) handles applications for all undergraduate courses.

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