Mathematics and Physics BSc

Course overview

Discover how the universe works.

Mathematics and physics are the fundamental languages through which we understand the universe. This joint degree is designed for students who enjoy combining abstract reasoning with physical insight and who want a broad yet rigorous education at the intersection of theory, computation and real-world application.

Physics is the most fundamental of the sciences, explaining how the world works and enabling technological innovations. From advancing artificial intelligence to developing new medical treatments, physicists contribute across a wide range of sectors, making this a qualification in demand by employers.

Mathematics, the language of science, also plays a vital role across business and industry. The ongoing drive for economic growth, understanding of data and the embedding of AI mean that Mathematics is more important than ever for the global economy and careers alike.

On this course, you’ll develop a deep understanding of the mathematical structures that underpin modern physics, while exploring how physical principles inspire and inform mathematical ideas. Topics range from mechanics and electromagnetism to quantum theory, statistical mechanics and condensed matter physics to mathematical and statistical modelling equipping you to describe, analyse and predict physical phenomena.

You’ll build strong analytical, problem-solving and computational skills, including experience in coding and data analysis – skills that are expected for numerate careers. In your final year, you’ll complete a research project in either mathematics or physics, working closely with academic staff and contributing to active research.

This course provides excellent preparation for careers in science, technology, data-driven industries and finance, as well as postgraduate study.

Why study at Leeds:

• Two outstanding research environments: You’ll learn from academics in one of the UK’s largest mathematics departments and a globally recognised physics research community, with teaching shaped by cutting-edge research.
• Integrated mathematical and physical training: Mathematics is taught in close connection with its physical applications, helping you develop a coherent and transferable skillset.
• Shape your degree: Choose from a wide range of modules, particularly in your final year, to suit your interests.
• Strong computational focus: Programming and computational methods are embedded throughout the course, reflecting their central role in modern businesses and your future career.
• Prepare for your future: Your final-year research project helps you develop skills in demand by employers and gain valuable experience before you graduate by taking an industrial placement or studying.

Course details and modules

One of the strengths of the BSc Mathematics and Physics is the flexibility to tailor the degree to your interests as they develop. While the early years provide a strong shared foundation, optional modules in Years 2 and 3 allow you to shape the direction in mathematics and physics, and to begin specialising. Academic staff and personal tutors will support you in making informed choices, helping you select modules that align with your academic strengths, interests and career ambitions.

You’ll study 120 credits each year.

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

You’ll build a strong foundation in core mathematics and fundamental physics, alongside developing problem-solving and programming skills.

Compulsory modules

Mathematical Physics 1 - 60 credits
An integrated introduction to core areas of physics to build a solid foundation for future years of study. Topics include mechanics, special relativity, vibrations and waves, thermal physics and thermodynamics, quantum physics, solid state physics, and computational approaches, plus the core skill of coding using python.

Core Mathematics - 40 credits
Develop key mathematical ideas and techniques, including calculus, linear algebra, functions, vectors and differential equations, providing the essential language for later study in mathematics and physics.

Probability and Statistics - 20 credits
An introduction to probabilistic reasoning and statistical methods that underpin modern science, data analysis and modelling.

Year 2

In your second year, you’ll deepen your understanding of physics while beginning to specialise through a choice of mathematics modules.

Compulsory modules

Mathematical Physics 2 - 60 credits
Builds on first-year material with topics such as statistical mechanics, quantum mechanics, condensed matter physics, nuclear and particle physics, electromagnetism, develop your professional skills and behaviours, and begin career planning.

Investigations in Mathematics - 20 credits
You’ll explore ideas and methods of mathematical research, developing research, communication, computing and problem-solving skills through guided investigations.

Vector Calculus and Partial Differential Equations - 20 credits
Study multivariable calculus and partial differential equations, key tools for modelling physical systems such as fluids, fields and waves.

Optional modules

Alongside your core modules, you’ll choose 20 credits of optional mathematics modules. These modules allow you to strengthen your background in applied mathematics, develop skills in statistics and data analysis, or explore more theoretical or abstract mathematics, such as algebra.

• Mathematical Modelling - 20 credits

• Statistical Methods - 20 credits

• Rings and Polynomials - 10 credits

• Calculus of Variations - 10 credits

• Time Series - 10 credits

Year 3

Your final year offers a high degree of flexibility, allowing you to tailor your degree towards your interests in a wider range of applications of mathematics and physics.

Compulsory modules

Project - 40 credits
You will undertake a physics or maths research project, developing advanced problem-solving, writing and presentation skills supervised by our academic researchers.

Optional modules

Physics options - You’ll select two 20 credit physics modules from a wide range of advanced topics.

Cosmology – 20 credits
Explore the origin, structure and evolution of the Universe, from the Big Bang to its large‑scale structure today. You’ll study observational and theoretical cosmology, including cosmic expansion, dark matter, dark energy and the cosmic microwave background.

Molecular Simulation – 20 credits
This module introduces computational techniques for simulating molecular and materials systems. You’ll learn the theory and practice of Monte Carlo and molecular dynamics methods, gaining experience of modelling real physical and biological systems using modern simulation tools.

Advanced Quantum Physics – 20 credits
Develop a deeper understanding of quantum mechanics and how it applies to real physical systems. Topics include perturbation theory, spin and angular momentum, and advanced quantum methods used in atomic, molecular and condensed matter physics.

Quantum Matter – 20 credits
Study how quantum mechanics gives rise to the collective properties of matter. You’ll explore topics such as lattice vibrations, electronic structure, nanoscale systems and introductory superconductivity, with applications to modern materials and technologies.

Magnetism in Condensed Matter – 20 credits
Examine the physical principles underpinning magnetic and ferroic materials. This module explores how microscopic interactions lead to macroscopic magnetic behaviour, with links to applications in data storage, sensors and energy technologies.

Advanced Mechanics – 20 credits
Extend classical mechanics using powerful mathematical frameworks, including Lagrangian and Hamiltonian formalisms. You’ll explore symmetry principles, conservation laws and their application to complex mechanical systems.

Bionanophysics – 20 credits
Explore how physical principles apply at the interface of biology and nanoscience. Topics may include biomolecules, membranes, nanoscale forces and experimental techniques used to study biological systems at the molecular level.

Theoretical Elementary Particle Physics – 20 credits
Gain an introduction to the theoretical foundations of particle physics. You’ll study the Standard Model, symmetry principles, relativistic quantum mechanics and techniques such as Feynman diagrams used to describe particle interactions.

Physics in Schools – 20 credits
Focus on the communication and teaching of physics in educational settings. This module develops your ability to explain physical concepts clearly, engage different audiences and understand contemporary issues in physics education.

Group Innovation Project – 20 credits
Work in a team to tackle a real‑world problem through a physics‑based innovation project. You’ll develop project management, teamwork and communication skills while applying your scientific knowledge in a practical, interdisciplinary context.

Mathematics options - You’ll choose two 20 credit mathematics modules.

Methods of Applied Mathematics – 20 credits
This module develops advanced mathematical techniques used to solve problems in mathematical physics. You’ll study methods for ordinary and partial differential equations, with applications to waves, diffusion and other physical systems.

Computational Applied Mathematics – 20 credits
Focus on numerical and computational techniques for solving mathematical problems that cannot be treated analytically. You’ll learn methods such as finite differences, numerical linear algebra and simulation, using computers to model real‑world systems.

Actuarial Mathematics – 20 credits
An introduction to the mathematics underpinning insurance and finance. Topics include interest rates, the time value of money, annuities and insurance models, with an emphasis on practical applications and quantitative risk analysis.

Statistical Modelling – 20 credits
Study advanced statistical models used to analyse real data. You’ll explore extensions of linear models, including generalised and non‑linear approaches, and learn how to assess, interpret and apply statistical models in practice.

Numbers and Codes – 20 credits
Explore number theory and coding theory, including primes, modular arithmetic and error‑correcting codes. You’ll see how abstract algebra underpins applications such as cryptography, data transmission and information security.

Fluid Dynamics – 20 credits
Study the mathematics of flowing systems, from ideal fluids to viscous flow. This module develops the governing equations of fluid motion and explores solutions relevant to applications in engineering, geophysics, astrophysics and biology.

Entropy and Quantum Mechanics – 20 credits
Examine the mathematical foundations of entropy and quantum mechanics and how they explain the behaviour of physical systems. You’ll study probabilistic and statistical ideas that link microscopic dynamics to macroscopic behaviour.

Mathematical Biology – 20 credits
Apply mathematical modelling techniques to biological systems. Topics may include population dynamics, biological pattern formation and disease modelling, using differential equations and analytical methods to study living systems.

Multivariate Analysis and Classification – 20 credits
Analyse datasets involving multiple variables, extending classical statistics to higher dimensions. You’ll study techniques such as principal component analysis, clustering and classification, commonly used in data science and applied research.

Mathematics in a Social Context – 20 credits
Explore the role of mathematics within society, culture and history. This module encourages critical reflection on how mathematics interacts with social issues, ethics and human endeavour, broadening your perspective on the subject.

One-year optional work placement or study abroad
During your course, you’ll be given the opportunity to advance your skill set and experience further. You can apply to either undertake a one-year work placement or study abroad for a year, choosing from a selection of universities we’re in partnership with worldwide.

Learning and teaching

On this course, you’ll be taught by our expert academics, from lecturers through to professors. You may also be taught by industry professionals with years of experience, as well as trained postgraduate researchers, connecting you to some of the brightest minds on campus.

Assessment

Assessment is by a range of methods, including formal examination, assignments, coursework, reports and practical activities. This combination of approaches to assessment ensures that students can develop their understanding as well as implement their knowledge. The University of Leeds is committed to inclusive assessment that offers all students the chance to be successful.

Entry requirements

A-level: AAA - AAB including Physics and a minimum of grade A in Mathematics

AAA/A*AB including Physics and a minimum of grade A in Mathematics

or

AAB/A*BB including Physics and a minimum of grade A in Mathematics plus Further Mathematics

or

AAB/A*BB including Physics and a minimum of grade A in Mathematics, plus A in AS Further Mathematics.

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.

Extended Project Qualification (EPQ) and International Project Qualification (IPQ): We recognise the value of these qualifications and the effort and enthusiasm that applicants put into them, and where an applicant offers an A in the EPQ or IPQ we may make an offer of AAB at A-level including Physics and a minimum of grade A in Mathematics.

GCSE: English Language grade 4 (C) or higher, or an equivalent English language qualification. We will accept Level 2 Functional Skills English instead of GCSE English.

Alternative qualification

Alternative entry

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

Access to Leeds is a contextual 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.

If you live in a neighbourhood where there is low participation in higher education, we may be able to give priority to your application.

Find out more about Access to Leeds and contextual admissions.

Typical Access to Leeds A Level offer: ABB including Physics and a minimum of grade A in Mathematics and a pass in the Access to Leeds scheme.

Foundation years

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. A Foundation Year is the first year of an extended degree. We’ve designed these courses for applicants whose backgrounds mean they are less likely to attend university and who don’t meet the typical entry requirements for an undergraduate degree.

We offer a Studies in Science with Foundation Year BSc for students without science and mathematics qualifications.

You could also study our Interdisciplinary Science with Foundation Year BSc which is for applicants whose background is less represented at university.

On successful completion of your foundation year, you will be able to progress onto your chosen course.

Alternative Entry Scheme for Mature Students

If you are a mature applicant (over 21) and you don’t have the required A Levels or GCSE English and maths qualifications, you can complete our Alternative Entry Scheme (subject to meeting the eligibility criteria for the scheme). As part of this, you may be asked to take tests in English and maths and to write an essay.

Further information on the support available for mature students can be found at https://www.leeds.ac.uk/mature-students.

English language requirements

IELTS 6.0 overall, with no less than 5.5 in any one component..

Fees

UK: To be confirmed

International: To be confirmed

Additional cost information

There may be additional costs related to your course or programme of study, or related to being a student at the University of Leeds. Read more on our living costs and budgeting page.

Applying

Apply to this course through UCAS. Check the deadline for applications on the UCAS website.

We may consider applications submitted after the deadline. Availability of courses in UCAS Extra will be detailed on UCAS at the appropriate stage in the cycle.

Admissions policy

University of Leeds Admissions Policy 2027

This course is taught by

School of Mathematics

Contact us

School of Mathematics Undergraduate Admissions

Email: maths.admiss@leeds.ac.uk

Career opportunities

A degree in Mathematics and Physics equips you with a powerful combination of analytical, quantitative and computational skills that are highly valued across a wide range of sectors. Graduates develop the ability to model complex systems, reason abstractly, analyse large datasets and communicate technical ideas clearly – capabilities that are in demand well beyond traditional scientific careers.

Because the degree combines rigorous mathematics with a strong understanding of physical systems, it opens doors both within science and engineering and far beyond them.

Science, engineering and technology

Many graduates go on to careers where deep technical insight is essential, including:

• scientific research and development,
• physics‑heavy industries such as materials science, energy, electronics and photonics,
• engineering roles that rely on modelling, simulation and data analysis,
• computational science and high‑performance computing.

The course also provides an excellent foundation for postgraduate study in mathematics, physics, engineering, data science or related disciplines.

Data, computing and quantitative roles

The strong emphasis on problem‑solving, statistics, modelling and coding prepares graduates for data‑driven careers such as:

• data scientist or data analyst,
• software developer or computational scientist,
• machine learning and AI‑adjacent roles,
• quantitative analyst.

Employers value graduates who can structure complex problems, work with abstraction, and translate real‑world questions into mathematical or computational form – all core skills developed throughout this degree.

Finance, consultancy and industry

Mathematics and Physics graduates are well represented in:

• finance, banking and fintech,
• actuarial and risk analysis,
• management and technical consultancy,
• operations research and optimisation roles.

The ability to work confidently with numbers, uncertainty and complex models makes graduates attractive to employers in fast‑paced, analytical environments.

Education, communication and wider careers

Graduates also pursue careers in:

• teaching and education,
• science communication and journalism,
• policy, regulation and intellectual property,
• roles requiring strong quantitative literacy and critical thinking.

The breadth of the degree, combined with the choice of optional modules and project work, allows students to tailor their studies towards the career paths that interest them most.

Careers support

Careers support

At Leeds, we help you to prepare for your future from day one. We have a wide range of careers resources — including our award-winning Employability Team who are in contact with many employers around the country and advertise placements and jobs. They are also on hand to provide guidance and support, ensuring you are prepared to take your next steps after graduation and get you where you want to be.

• Qualified careers consultants - gain guidance, support and information to help you choose a career path. You’ll have access to 1-2-1 meetings and events to learn how to find employers to target, write your CV and cover letter, research before interviews and enhance your interview skills. 
• Employability and networking events - we run a full range of events, including careers fairs in specialist areas and across broader industries, with employers who are actively recruiting for roles, giving you the opportunity to network with industry sponsors.  We’re also an active partner in the White Rose Industrial Physics Academy, where we hold the UK’s largest annual Physics Careers Fair, with employers looking exclusively for physicists.
• Employability skills training - we help you build the skills employers really value. Throughout the course, you’ll develop key transferable skills such as communication, 
• teamwork and problem-solving, helping you feel confident and work‑ready when you graduate. 
• MyCareer system - on your course and after you graduate, you’ll have access to a dedicated careers portal where you can book appointments with our team, get information on careers and see job vacancies and upcoming events. 
• Joblink - a student job shop offered by our Leeds University Union (LUU), designed to link students with local employers who provide rewarding work experience. LUU also offers volunteering opportunities and over 300 clubs and societies to get involved in.

Explore more about your employability opportunities at the University of Leeds.

Watch our Employability Team video.

You'll also have full access to the University’s Careers Centre, which is one of the largest in the country.