Mathematics and Computer Science
Undertake interdisciplinary study that incorporates pure mathematics, statistics, operating systems and software engineering.
Undertake interdisciplinary study that incorporates pure mathematics, statistics, operating systems and software engineering
Advance your skills on an industrial placement
Choose from a wide variety of optional modules and focus on subjects that suit your interests
Course key facts
Qualification
MEng
Duration
4 years
Start date
October 2026
UCAS course code
GG41
Study mode
Full-time
-
Fees
£9,790 per year Home
£45,500 per year Overseas
Delivered by
Location
-
South Kensington
-
Applications: places
19 : 1 (2024)
Minimum entry standard
A*A*A (A-level)
41 points (International Baccalaureate)
Course overview
If you are both mathematically inclined and interested in computer science, then a Mathematics and Computer Science degree is perfect for you.
Taught jointly by the Departments of Computing and Mathematics, this course will enable you to develop a firm foundation in mathematics – particularly in pure mathematics, numerical analysis and statistics. You will also learn the essentials of computer science, with an emphasis on software development and broader theoretical topics.
Your studies will incorporate core modules and project work from both departments, while also providing opportunities to choose from a wide variety of optional modules and focus on subjects that most appeal to you.
You will also cultivate valuable practical skills and gain real-world experience as you undertake a four-month industrial placement in your third year.
Your study reaches Master's level in the final year, which will allow you to choose from a broad range of advanced modules and complete a substantial individual project on a subject of your choice.
As computing principles and mathematical ideas spread into all facets of life, this course will help you cater to the growing demand for professionals with expertise in both areas.
Structure
This page is updated regularly to reflect the latest version of the curriculum. However, this information is subject to change.
Find out more about potential course changes.
Please note: it may not always be possible to take specific combinations of modules due to timetabling conflicts. For confirmation, please check with the relevant department.
The first year will provide you with the programming, computing and mathematical foundations needed for the course in later years.
You will study nine Core modules.
Core modules
- Principled Programming
- Introduction to University Mathematics
- Logic and Reasoning
- Analysis
- Calculus and Applications
- Linear Algebra and Groups
- Graphs and Algorithms
- Probability and Statistics
- Machine Learning in Action
In the second year you will learn the principles of engineering large systems and choose your mathematical specialisms.
You will study seven Core and Compulsory modules.
In the Spring term, you will choose a selection of optional modules from those listed below, providing a mixture of Computing and Mathematics options.
You must select one module from Group A, plus three modules from Group B.
Please note: the optional module lists may change subject to ongoing curriculum review and staffing constraints.
Core and Compulsory modules
- Practical Systems Engineering
- Computer Systems
- Software Engineering
- Real Analysis and Topology
- Multivariable Calculus
- Linear Algebra
- Designing for Real People
Optional modules – Group A (Computing)
- Systems for Machine Learning
- Software Verification
Optional modules – Group B (Mathematics)
- Machine Learning
- Groups and Rings
- Lebesgue Measure and Integration
- Differential Equations
- Partial Differential Equations in Action
- Statistical Modelling
The third year gives you more choice about what you learn, with the modules in this year at the leading-edge of industry practices.
You will study one module from the I-Explore catalogue.
You will also choose a selection of optional modules from those listed below, providing a mixture of Computing and Mathematics options.
You may select a maximum of two modules (not previously taken) from Group A and Group B.
You must select a minimum of four modules from Group A and Group C, plus a minimum of three modules from Group B and Group D. The Computing Group project modules counts as two normal modules.
Please note: the optional module lists may change subject to ongoing curriculum review and staffing constraints.
Core modules
- I-Explore
Through I-Explore, you'll have the chance to deepen your knowledge in a brand new subject area, chosen from a huge range of for-credit modules.
All of our undergraduate courses include one module from I-Explore's wide selection. The module you choose will be fully integrated into your course's curriculum and count as credit towards your degree.
Optional modules – Group A (Computing)
- Systems for Machine Learning
- Software Verification
Optional modules – Group B (Mathematics)
- Machine Learning
- Groups and Rings
- Lebesgue Measure and Integration
- Partial Differential Equations in Action
- Statistical Modelling
- Differential Equations
- Classical Mechanics
- Complex Analysis
Optional modules – Group C (Computing)
- Advanced Computer Architecture
- Communicating Computer Science in Schools
- Graphics
- Computer Vision
- The Theory and Practice of Concurrent Programming
- Custom Computing
- Logic-Based Learning
- Network and Web Security
- Operations Research
- System Performance Engineering
- Robotics
- Software Engineering Group Project
- Type Systems for Programming Languages
- Data Processing Systems
- Networked Systems
- Computing Research Collective
- Computational Optimisation
- Deep Learning
- Natural Language Processing
- Reinforcement Learning
- Databases
- Computer Networks and Distributed Systems
- Statistical Information Theory
Optional modules – Group D (Mathematics)
- Fluid Dynamics 1
- Fluid Dynamics 2
- Asymptotic Methods
- Optimisation
- Applied Complex Analysis
- Dynamics of Learning and Iterated Games
- Dynamical Systems
- Bifurcation Theory
- Geometric Mechanics
- Mathematical Finance: An Introduction to Option Pricing
- Mathematical Biology
- Quantum Mechanics 1
- Special Relativity and Electromagnetism
- Tensor Calculus and General Relativity
- Quantum Mechanics 2
- Theory of Partial Differential Equations
- Function Spaces and Applications
- Advanced Topics in Partial Differential Equations
- Finite Elements: Numerical Analysis and Implementation
- Computational Dynamical Systems
- Computational Linear Algebra
- Computational Partial Differential Equations
- Probability Theory
- Functional Analysis
- Fourier Analysis and Theory of Distributions
- Markov Processes
- Geometry of Curves and Surfaces
- Algebraic Curves
- Algebraic Topology
- Algebra 3
- Group Theory
- Galois Theory
- Graph Theory
- Group Representation Theory
- Formalising Mathematics
- Number Theory
- Algebraic Number Theory
- Statistical Theory
- Applied Statistical Inference
- Applied Probability
- Time Series Analysis
- Stochastic Simulation
- Survival Models
- Stochastic Differential Equations in Financial Modelling
- Mathematical Logic
- Mathematical Biology 2: Systems Biology
- Rough Paths and Applications to Machine Learning
- Spatial Statistics
- Geometric Complex Analysis
- Introduction to Game Theory
- The Mathematics of Business and Economics
- Statistical Mechanics
In your final year, you will have more choice about what you learn, with the modules in this year at the forefront of research. You will also undertake an individual project.
You have the option of completing an industrial or research placement over the Summer between the third and fourth year.
You will also choose a selection of optional modules from those listed below, providing a mixture of Computing and Mathematics options.
You must select a minimum of four modules from Group A, plus a minimum of three modules from Group B. The Computing and Maths Individual project modules count as three or four normal modules.
You can choose a maximum of one module from Group C.
Please note: the optional module lists may change subject to ongoing curriculum review and staffing constraints.
Optional placement module
- Industrial Placement
Individual project modules
- Computing Individual Project
- Maths Individual Project
Optional modules – Group A (Computing)
-
Operations Research
-
Type Systems for Programming Languages
-
Data Processing Systems
-
Advanced Computer Graphics
-
Advanced Computer Security
-
Complexity
-
Machine learning for Imaging
-
Principles of Distributed Ledgers
-
Privacy Engineering
-
Program Analysis
-
Quantum Computing
-
Scalable Systems and Data
-
Scalable Software Verification
-
Software Engineering for Industry
-
Formal Methods for Safe AI
-
Robot Learning
-
Scheduling and Resource Allocation
-
Custom Computing
-
Network and Web Security
-
Advanced Computer Architecture
-
Computer Vision
-
Graphics
-
Introduction to Concrete Complexity
-
Computational Neurodynamics
-
Statistical Information Theory
-
Deep Graph-Based Learning
-
Non-Euclidean Methods in Machine Learning
Optional modules – Group B (Mathematics)
-
Fluid Dynamics 1
-
Fluid Dynamics 2
-
Asymptotic Methods
-
Optimisation
-
Applied Complex Analysis
-
Dynamics of Learning and Iterated Games
-
Dynamical Systems
-
Bifurcation Theory
-
Geometric Mechanics
-
Mathematical Finance: An Introduction to Option Pricing
-
Advanced Simulation Methods
-
Mathematical Biology
-
Quantum Mechanics 1
-
Special Relativity and Electromagnetism
-
Tensor Calculus and General Relativity
-
Quantum Mechanics 2
-
Theory of Partial Differential Equations
-
Function Spaces and Applications
-
Advanced Topics in Partial Differential Equations
-
Finite Elements: Numerical Analysis and Implementation
-
Computational Dynamical Systems
-
Computational Linear Algebra
-
Computational Partial Differential Equations
-
Probability Theory
-
Functional Analysis
-
Fourier Analysis and the Theory of Distributions
-
Markov Processes
-
Geometry of Curves and Surfaces
-
Algebraic Curves
-
Algebraic Topology
-
Algebra 3
-
Group Theory
-
Galois Theory
-
Graph Theory
-
Group Representation Theory
-
Formalising Mathematics
-
Number Theory
-
Algebraic Number Theory
-
Statistical Theory
-
Applied Statistical Inference
-
Applied Probability
-
Time Series Analysis
-
Stochastic Simulation
-
Survival Models
-
Vortex Dynamics
-
Hydrodynamic Stability
-
Introduction to Stochastic Differential Equations and Diffusion Processes
-
Stochastic Calculus and Applications to Non-Linear Filtering
-
Algebraic Geometry
-
Riemannian Geometry
-
Manifolds
-
Differential Topology
-
Complex Manifolds
-
Commutative Algebra
-
Lie Algebras
-
Algebra 4
-
Elliptic Curves
-
Advanced Bayesian Methods
-
Statistical Genetics and Bioinformatics
-
Stochastic Differential Equations in Financial Modelling
-
Mathematical Logic
-
Mathematical Foundations of Machine Learning
-
Analytic Methods in Partial Differential Equations
-
Mathematical Biology 2: Systems Biology
-
Rough Paths and Applications to Machine Learning
-
Spatial Statistics
-
Geometric Complex Analysis
-
Introduction to Game Theory
-
The Mathematics of Business and Economics
-
Advanced Dynamical Systems
-
Statistical Mechanics
Optional modules – Group C
- Communicating Computer Science in Schools
Teaching and assessment
Balance of teaching and learning
This is a general guide to how teaching and learning are usually balanced across this course. The methods used may change based on the modules you take.
Key
- Lectures and tutorials
- Laboratory sessions
- Independent study
Years 1
- 50% Title 1 goes here
- 50% Title 2 goes here
Year 2
- 50% Title 1 goes here
- 50% Title 2 goes here
Year 3
- 33% Title 1 goes here
- 33% Title 2 goes here
- 34% Title 3 goes here
Year 4
- 33% Title 1 goes here
- 33% Title 2 goes here
- 34% Title 3 goes here
Teaching and learning methods
-
Lectures
-
Tutorials
-
Laboratory-based teaching
-
In-class problem solving
-
Personal supervision of project work
Balance of assessment
This is an example of how assessments are usually divided, based on a typical pathway through the course. The actual breakdown may vary depending on the modules you choose.
Key
- Coursework
- Examinations
- Practical
Year 1
- 13% Title 1 goes here
- 33% Title 2 goes here
- 54% Title 3 goes here
Year 2
- 15% Title 1 goes here
- 25% Title 2 goes here
- 60% Title 3 goes here
Year 3
- 21% Title 1 goes here
- 18% Title 2 goes here
- 61% Title 3 goes here
Year 4
- 17% Title 1 goes here
- 33% Title 2 goes here
- 50% Title 3 goes here
Assessment methods
-
Programming exercises
-
Computer-based programming tests
-
Written coursework
-
Computer-based coursework
-
Examinations
-
Software demonstrations
-
Group work
-
Written reports
-
Research summaries
-
Oral presentations
Entry requirements
We consider all applicants on an individual basis, welcoming students from all over the world.
How to apply
Applications for this course are now closed.
Admissions test (TMUA)
To be eligible for selection for this course for 2026 entry, you must sit the Test of Mathematics for University Admission (TMUA) as part of the application process.
Check the entry requirements section on this page to learn more about the TMUA and how to register for this test.
Assessing your application
Admissions Tutors consider all the evidence available during our rigorous selection process and the College flags key information providing assessors with a more complete picture of the educational and social circumstances relevant to the applicant. Some applicants may be set lower offers and some more challenging ones.
Interviews are not standard but may be offered to some candidates at the discretion of the admissions tutors.
An ATAS certificate is not required for students applying for this course.
Transfers from Computing to Joint Mathematics and Computing courses are normally not possible and are dealt with on a case by case basis.
Transfer between the BEng in Mathematics and Computer Science and MEng in Mathematics and Computer Science is possible until the end of Year 2 subject to meeting certain minimum results criteria.
If you are an international student, transferring to a different course could have an impact on your student visa.
Please visit the Department of Computing and Department of Mathematics for further information.
Fees and funding
Home fee
2026 entry
£9,790 per year
Home tuition fees
In England and Wales, the UK government sets the maximum tuition fee (known as a 'fee cap') chargeable by universities for Home students. Imperial’s Home fees for undergraduate courses starting in 2026 will align with this cap, which means that, subject to parliamentary approval, they will be as follows:
- First year (2026–27): £9,790
- Second year (2027–28): £10,050
It is current Imperial policy to charge Home fees in line with the Government’s fee cap. The UK government announced its proposed fee caps for the 2026–27 and 2027–28 academic years in November 2025.
The fee cap beyond this hasn’t been announced yet but the Government plans to increase the fee cap each year to match inflation.
So, you should expect a rise in your fee each year. As soon as we know what this will be for 2028- to 2029 academic year and beyond, we will publish it on our course pages.
Whether you pay the Home or Overseas fee depends on your fee status. This is assessed based on UK Government legislation and includes things like where you live and your nationality or residency status. Find out how we assess your fee status.
If you're a Home student, you can apply for a Tuition Fee Loan from the UK government to cover the entire cost of tuition for every year of your course.
The loan is paid directly to the university.
You will start repaying it only after you leave your course, have a job, and are earning above a certain amount.
Once the repayments start, the amount you pay each month depends on how much you earn, not on how much you owe in total.
Home students can apply for a means-tested Maintenance Loan to help with their living costs.
How you apply for student finance depends on whether you have studied before and where you’re from or normally live. Find out more on the UK government's website.
The Imperial Bursary is available to all Home undergraduate students with a household income below £70,000 per year.
The amount awarded is based on your household income, with up to £5,000/year available for students from the lowest income households.
It's money which you don't need to pay back, and it's paid on top of any government funding you may also receive.
It is available for each year of your course, as long as your annual household income remains below £70,000.
You might need to budget for additional costs related to your course that aren't covered by your tuition fees – like field trips, books and protective clothing.
Our extra costs page outlines the additional costs related to courses in each of our departments. It's not an exhaustive list and any additional costs you could incur will be determined by the course and modules you choose.
Overseas fee
2026 entry
£45,500 per year
Whether you pay the Home or Overseas fee depends on your fee status. This is assessed based on UK Government legislation and includes things like where you live and your nationality or residency status. Find out how we assess your fee status.
You might need to budget for additional costs related to your course that aren't covered by your tuition fees – like field trips, books and protective clothing.
Our extra costs page outlines the additional costs related to courses in each of our departments. It's not an exhaustive list and any additional costs you could incur will be determined by the course and modules you choose.
How will studying at Imperial help my career?
99% Of Imperial Computing graduates in work or further study*
- 99% Of Imperial Computing graduates in work or further study*
- 1%
94% Of Imperial Computing graduates in highly skilled work or further study*
- 94% Of Imperial Computing graduates in highly skilled work or further study*
- 6%
*2022-23 graduate outcomes data, published by HESA in 2025
.svg){kind=icon}
Gain transferable skills relevant to a career in industry and academia.
With specialised knowledge, you'll be highly sought after in a range of sectors.
Management consultancy, corporations, computer gaming and special effects are just some of your options.
Other potential career paths could include banking and finance.
Further links
Contact the department
- Telephone: +44 (0)20 7594 8267 / +44 (0)20 7594 8233
- Email: doc-ugadmissions@imperial.ac.uk
Visit the Department of Computing website
/fit-in/1440x9999999/prod01/channel_3/media/study---restricted-images/Mathematics.jpg)
Request info
Learn more about studying at Imperial. Receive useful information about our life in our undergraduate community and download our latest Study Guide.
/fit-in/1440x9999999/prod01/channel_3/media/study---restricted-images/Newsletter.jpg)
Events, tasters and talks
Meet us and find out more about studying at Imperial.
/fit-in/1440x9999999/prod01/channel_3/media/study---restricted-images/UG---Events.jpg)
Course data
Terms and conditions
There are some important pieces of information you should be aware of when applying to Imperial. These include key information about your tuition fees, funding, visas, accommodation and more.
You can find further information about your course, including degree classifications, regulations, progression and awards in the programme specification for your course.
Programme specifications