Computer Science with Mathematics MSci, BSc

(Full time) 2019 start


Mathematics is the underlying language of computer science, and many of its applications are in the field of computer science. Historically, computer science is unthinkable without mathematics, and many breakthrough discoveries were made at the intersection of both fields. Nowadays, the rapid evolvement of computer science poses numerous exciting challenges that can only be solved hand in hand between both disciplines.

Taught by the School of Computing and the School of Mathematics, this course allows you to study core topics in both subjects while specialising in areas that link the two at Leeds.

You’ll explore topics such as logic, algorithms, graph theory, optimisation, scientific computing, big data and complexity science in depth, and consider how they are applied to meet some of the major challenges facing the modern world. Optional modules will allow you to focus on one of three individual specialisms: discrete mathematics, scientific computation, or complex systems.

You’ll study among experts in specialist facilities, benefiting from the expertise in both Schools. You’ll also apply what you’ve learned to an individual research project, helping you to develop the range of skills and experience you’ll need for a professional or academic career.

Research excellence

Leeds is particularly well placed to offer this joint degree. A number of outstanding research groups in the School of Computing and the School of Mathematics are working on the interface of Computer Science and Mathematics, among them Algorithms and Complexity, Artificial Intelligence, Computational Science and Engineering as well as Mathematical Logic and Applied Nonlinear Dynamics.

Specialist facilities

You’ll have access to specialist facilities including well-equipped labs containing Linux and Microsoft platforms.

For final-year project work you’ll also be able to make the most of our research facilities, such as a 53-megapixel powerwall display and dedicated 3D virtual reality suite, a new testbed for cloud computing and dedicated labs with high-spec, dual-display Linux workstations, iPad, Mac and Android development areas.

Course content

Your first year will introduce you to a range of fundamental topics in both computing and mathematics, including computer programming, systems, modelling, applied mathematics, pure mathematics and statistics. This will lay the foundations for the next two years, when you’ll build on your skills in core modules focusing on numerical computation and algorithms.

You’ll also choose from optional modules specialising in one of three key areas:

  • Discrete mathematics: exploring the development, analysis and application of algorithms for computationally hard problems from optimisation, graph theory, and logic. This provides the key foundations for developments in computer networking and security.
  • Scientific computation: focusing on the analysis and implementation of high-performance and parallel numerical algorithms. Fluid dynamics, combustion and atmospheric dispersion are among the different applications of this area.
  • Complex systems: laying the foundation for the interdisciplinary study of the world around us, from genetics to ecology; from neuroscience to social networks; and from finance to the web. As a discipline, it combines the study of dynamical systems with data driven analysis and statistical or computational modelling.

Year 3 will also give you the chance to research a related topic in-depth, when you complete an individual project under the guidance of your academic supervisor.

In your final year you have a wide range of choices from specialised modules in mathematics and computing, which expose you to current research developments and equip you with analytic skills and in-depth knowledge in one of the three specialisms discrete mathematics, scientific computation, or complex systems.


Every year of the course gives you hands-on experience of project work. This gives you the opportunity to explore your subject further as well as developing valuable skills in problem solving, communication and teamwork.

Find out more about our Projects

Computing Ethics

You’ll study computing ethics as part of your course. This is taught using real life case studies, with input from specialist ethicists as well as your tutors and lecturers. The team responsible for the ethics taught in computing has produced educational material used to stimulate debate in class about topics such as ethical hacking, open source software, and use of personal data.

Not only will this enhance your reasoning and decision making skills which are crucial to employers, but it will help you identify and respond effectively to ethical dilemmas that you will encounter in your professional life in the IT industry.

Course structure

The list shown below represents typical modules/components studied and may change from time to time. Read more in our Terms and conditions.


Year 1

Compulsory modules

  • Computer Architecture 10 credits
  • Computer Processors 10 credits
  • Fundamental Mathematical Concepts 10 credits
  • Introduction to Discrete Mathematics 10 credits
  • Procedural Programming 10 credits
  • Object Oriented Programming 10 credits
  • Calculus and Mathematical Analysis 10 credits
  • Numbers and Vectors 10 credits
  • Introductory Linear Algebra 10 credits
  • Modelling with Differential Equations 10 credits

Optional modules

  • Programming for the Web 10 credits
  • Databases 10 credits
  • Financial Mathematics 1 15 credits
  • Probability and Statistics I 10 credits
  • Probability and Statistics II 10 credits
Year 2

Compulsory modules

  • Numerical Computation 10 credits
  • Algorithms and Data Structures I 10 credits
  • Algorithms and Data Structures II 10 credits
  • Mathematical Logic 1 10 credits

Optional modules

  • Operating Systems 10 credits
  • Networks 10 credits
  • Formal Languages and Finite Automata 10 credits
  • Artificial Intelligence 10 credits
  • User Interfaces 10 credits
  • Software Engineering Principles 10 credits
  • Software Engineering Project 10 credits
  • Compiler Design and Construction 10 credits
  • Real Analysis 15 credits
  • Groups and Vector Spaces 15 credits
  • Rings and Polynomials 10 credits
  • Vector Calculus 15 credits
  • Linear Differential Equations and Transforms 15 credits
  • Nonlinear Differential Equations 10 credits
  • Numerical Analysis 10 credits
  • Numerical Analysis with Computation 15 credits
  • Introduction to Optimisation 10 credits
  • Calculus of Variations 10 credits
  • Computational Mathematics 10 credits
Year 3

Compulsory modules

  • Individual Project 40 credits
  • Graph Algorithms and Complexity Theory 10 credits

Optional modules

  • Distributed Systems 10 credits
  • Parallel Computation 10 credits
  • Cryptography 10 credits
  • Programming Languages and Compilation 10 credits
  • Machine Learning 10 credits
  • Computer Graphics 10 credits
  • Combinatorial Optimisation 10 credits
  • Philosophy of Logic and Mathematics 20 credits
  • Graph Theory 15 credits
  • Number Theory 15 credits
  • Proof and Computation 15 credits
  • Models and Sets 15 credits
  • Combinatorics 15 credits
  • Coding Theory 15 credits
  • Transformation Geometry 15 credits
  • Mathematical Methods 15 credits
  • Linear and Non-Linear Waves 15 credits
  • Dynamical Systems 15 credits
  • Introduction to Entropy in the Physical World 15 credits
  • Numerical Methods 10 credits
  • Modern Numerical Methods 15 credits
  • Mathematical Biology 15 credits
  • Philosophy of Logic and Mathematics 20 credits
  • Advanced Proof and Computation 20 credits
  • Advanced Models and Sets 20 credits
  • Advanced Mathematical Methods 20 credits
  • Advanced Linear and Nonlinear Waves 20 credits
  • Advanced Dynamical Systems 20 credits
  • Advanced Entropy in the Physical World 20 credits
  • Advanced Modern Numerical Methods 20 credits
  • Advanced Mathematical Biology 20 credits
Year 4

Compulsory modules

  • Algorithms 15 credits

Optional modules

  • Bio-Inspired Computing 15 credits
  • Group Project 30 credits
  • Parallel and Concurrent Programming 15 credits
  • Data Mining and Text Analytics 15 credits
  • Cloud Computing 15 credits
  • Semantic Technologies and Applications 15 credits
  • Image Analysis 15 credits
  • Advanced Software Engineering 15 credits
  • Scheduling 15 credits
  • Scientific Computation 15 credits
  • Graph Theory: Structure and Algorithms 15 credits
  • Philosophy of Logic and Mathematics 20 credits
  • Graph Theory 15 credits
  • Number Theory 15 credits
  • Proof and Computation 15 credits
  • Models and Sets 15 credits
  • Combinatorics 15 credits
  • Coding Theory 15 credits
  • Transformation Geometry 15 credits
  • Mathematical Methods 15 credits
  • Linear and Non-Linear Waves 15 credits
  • Dynamical Systems 15 credits
  • Introduction to Entropy in the Physical World 15 credits
  • Numerical Methods 10 credits
  • Modern Numerical Methods 15 credits
  • Mathematical Biology 15 credits
  • Philosophy of Logic and Mathematics 20 credits
  • Advanced Proof and Computation 20 credits
  • Advanced Models and Sets 20 credits
  • Advanced Mathematical Methods 20 credits
  • Advanced Linear and Nonlinear Waves 20 credits
  • Advanced Dynamical Systems 20 credits
  • Advanced Entropy in the Physical World 20 credits
  • Advanced Modern Numerical Methods 20 credits
  • Advanced Mathematical Biology 20 credits

For more information and a full list of typical modules available on this course, please read Computer Science with Mathematics MSci, BSc in the course catalogue

For more information and a full list of typical modules available on this course, please read Computer Science with Mathematics BSc in the course catalogue

Broadening your academic horizons

At Leeds we want you to benefit from the depth and breadth of the University's expertise, to prepare you for success in an ever-changing and challenging world. On this course you broaden your learning through core and/or optional modules. Find out more on the Broadening webpages.

Learning and teaching

You’ll study among academics who are leading their fields. Our research feeds directly into our teaching, meaning you’ll learn about the very latest developments in your subject while gaining the knowledge and skills to meet the needs of the IT industry.

To help you benefit from our expertise, we use a range of teaching and learning methods including lectures, lab classes, tutorials and example classes. Together they will equip you with in-depth knowledge and key practical skills that will put you in a good position to compete in science and technology-related careers. You’ll also work with an academic supervisor on your projects.

Our personal tutorial system will provide academic and pastoral support. You will have a designated personal tutor throughout your studies at Leeds. He or she will be an academic member of staff: you will have weekly academic tutorials with your tutor throughout your first year, in your tutor group (of typically 5 students), as well as one-to-one meetings twice per semester.

In addition, our excellent student support team is based close to where you’ll work and study to help with anything from academic advice to timetabling and project submission enquiries.


You’ll be assessed using various methods including formal exams, lab practicals and project reports. Throughout the year, you’ll also be assessed using coursework, worksheets, in-module tests, example sheets and presentations to develop your knowledge and allow us to monitor your progress.

Entry requirements, fees and applying

Entry requirements

A-level: AAA including Mathematics, excluding General Studies.

Where an A-level Science subject is taken, we require a pass in the practical science element, alongside the achievement of the A-Level at the stated grade.

Excludes A-level General Studies or Critical Thinking.

Due to the competitive nature of this course, the Admissions team may take a variety of factors into account when assessing applications. Please read the admissions statement for further information.

Extended Project Qualification - Whilst we recognise the value, effort and enthusiasm applicants make in the Extended Project, we do not currently include this as part of our offer making. We do however encourage you to provide further information on your project in your personal statement and if invited, at interview.

GCSE: English Language at grade C (4) or above, or an appropriate English language qualification.

Other course specific tests:

Lower offers may be made based on demonstrated interest and aptitude for the subject (typically AAB). Where Maths or Computing are required this must be at grade A.

  • Access to HE Diploma

    Pass 60 credits overall with 45 credits at Level 3, 30 credits with Distinction (including Mathematics) and the remaining 15 credits with Merit or above.

  • BTEC

    D*D*D with Distinctions in all Mathematics units. Mathematics units must usually include Further Maths and/or other appropriate Maths units. Some may be optional on your BTEC but are required by the Faculty. Please contact us for further information.

  • Cambridge Pre-U

    D3, D3, D3 including Mathematics.

  • International Baccalaureate

    35 points overall, with 18 points at higher level to include 5 points in higher level Mathematics.

  • Irish Highers (Leaving Certificate)

    H1 H2 H2 H2 H2 H2, including Mathematics.

  • Scottish Highers / Advanced Highers

    AA at Advanced Higher level, including Mathematics, and AABBB at Higher level.

  • Other Qualifications

    IT or Engineering Diploma: A (plus A or above in Mathematics or Computing in A-level).

Read more about UK and Republic of Ireland accepted qualifications or contact the School’s Undergraduate Admissions Team.

Alternative entry

We’re committed to identifying the best possible applicants, regardless of personal circumstances or background.

Access to Leeds is an alternative admissions scheme which accepts applications from individuals who might be from low income households, in the first generation of their immediate family to apply to higher education, or have had their studies disrupted.

Find out more about Access to Leeds and alternative admissions.

If you do not have the formal qualifications for immediate entry to one of our degrees, you may be able to progress through a foundation year. We offer a BSc Studies in Science for students without a science background at A-level and an Interdisciplinary Science Foundation Year for applicants who meet specific widening participation criteria.


We accept a range of international equivalent qualifications.

Foundation year

If you have the ability to study for a degree but don’t have the qualifications to enter directly to level one, you might consider studying a foundation year. We have formal links with the following foundation year programmes:

- University of Leeds International Foundation Year (IFY)

- Northern Consortium of UK Universities (NCUK)

- Study Group Leeds International Study Centre (LISC)

If you are applying from an alternative foundation year provider, please contact our admissions team to find out if your qualification is suitable for entry to our courses.

English language requirements

IELTS 6.0 overall, with no less than 5.5 in each section.. For other English qualifications, read English language equivalent qualifications.

Improve your English

If you're an international student and you don't meet the English language requirements for this programme, you may be able to study our undergraduate pre-sessional English course, to help improve your English language level.

How to apply

Apply to this course through UCAS. The institution code for the University of Leeds is L23. Check the deadline for applications on the UCAS website.

International students apply through UCAS in the same way as UK/EU students. Our network of international representatives can help you with your application. If you’re unsure about the application process, contact the admissions team for help.

Read about visas, immigration and other information in International students. We recommend that international students apply as early as possible to ensure that they have time to apply for their visa.

Next steps

Suitable applicants will be invited to an applicant day, for which we encourage attendance, as this gives you the opportunity to meet our students, academic and admissions staff, and find out more about your course. You’ll take part in a practical computing activity followed by a student-led tour.

During the day you’ll have a discussion with an academic member of staff, to check that it’s the right course for you and your career plans, have your questions answered and find out more about studying at Leeds

After you apply we will send you a link to book your place on the applicant day, but please let us know as soon as possible if you cannot attend, so your place can be allocated to another applicant.

Admissions policy

Faculty of Engineering Undergraduate Admissions Policy 2019


UK/EU: See fees section below

International: £21,500 (per year)

For UK and non-UK EU full-time students starting in 2018, the fee for 2018/19 will be £9,250. 

For UK and non-UK EU full-time students starting in 2019, the fee for 2019/20 will be £9,250. 

The fee may increase in future years of your course in line with inflation, and as permitted by law. For example, the increase of 2.8% in 2017/18 was based on the government’s forecast for the RPI-X measure of inflation.

The UK government has confirmed that non-UK EU students starting in the 2019/20 academic year will have home fee status and be eligible for UK government student loans. The UK government has not confirmed the situation for future years, so keep checking our website for updates.

If you take a study abroad or work placement year, you’ll pay a reduced tuition fee during this period. For more information, see Study abroad and work placement tuition fees and loans.

Read more about paying fees and charges.

Financial support

The School of Computing offers a range of scholarships for Home, EU and International students.

Find out more.

Career opportunities

Studying Computer Science with Mathematics means you will be extremely employable, as you’ll benefit from exciting experiences in both sectors. This interdisciplinary course brings together diverse opportunities that allow you to develop your skills at the intersection of both areas, giving you an edge over other graduates.

The course draws together solid mathematical foundations and their applications in computing and equips you with the skills of modelling and analysing real-world computational problems. It prepares you for a career working in science and technology and is an excellent basis for further research at Masters or PhD level, leaving you well-placed for a career in research and development. It also provides you with analytical, problem-solving and technical skills that are prized in a number of industrial sectors.

90% of our recent graduates have gone on to work or further study within six months of graduating. Recent graduates from the School have found roles as software developers and engineers, technology consulting analysts, research engineers, production project managers and business system analysts. They’ve gone to work for organisations like BAE Systems, Barclays, BT, Deloitte, Gazprom, IBM, IG, Microsoft, Toshiba Research Europe Ltd and Weaveability among others. Whatever you choose to do, you’ll be able to apply your knowledge to real-life problems to make an impact in your sector.

Read our alumni profiles to find out more about where our students are working.

Careers Support

You’ll have access to our dedicated Employability team, located centrally in our Employability Suite, who will provide you with specialist face-to-face support and advice to help you find relevant work experience, internships and year-in-industry placements, as well as graduate positions.

You’ll benefit from timetabled employability sessions, ongoing support during internships and placements, and presentations and workshops delivered by employers. The team also works closely with the University’s Careers Centre, which is one of the largest in the country.

Find out more about careers support and employability

Study abroad and work placements

Study abroad

On this course you have the opportunity to apply to spend time abroad, usually as an extra academic year. The University has over 300 partnerships with universities worldwide and popular destinations for our students include Europe, the USA, Canada, Australia, New Zealand, Singapore, Hong Kong, South Africa and Latin America. 

Find out more at the Study Abroad website.

Work placements

With the help and support of our faculty Employability Team, you can choose to undertake an industrial placement year at one of the 100+ companies that we work with. If you decide to undertake a placement year this will extend your period of study by 12 months and, on successful completion, you will be awarded the ‘industrial’ variant in your degree title to demonstrate your added experience to future employers.

Find out more about work placements

Course terms and conditions