University of Lancaster

What you'll study

This degree emphasises the mathematical structures and computational techniques that underpin modern theoretical physics. You will build a firm grounding in classical mechanics, electromagnetism, quantum mechanics and statistical physics, while developing advanced mathematical skills in areas such as differential equations, complex analysis, linear algebra, group theory and numerical methods.

• Core physics modules: Newtonian and Lagrangian mechanics, electrodynamics, non-relativistic and introductory relativistic quantum mechanics, thermodynamics and statistical mechanics.
• Mathematics for physics: advanced calculus and analysis, ordinary and partial differential equations, Fourier methods, complex variables, linear algebra and tensor methods.
• Advanced topics: quantum field theory foundations, many-body physics, condensed matter theory, general relativity and cosmology (subject to availability).
• Computational and modelling modules: numerical methods, scientific programming, computational physics and simulations, data analysis techniques.
• Research project: an independent honours project in theoretical physics or mathematical physics supervised by a member of staff; projects often involve analytical work, numerical computation or both.
• Study abroad year: an integrated year at a partner university overseas, taken between second and final year, during which you follow physics/maths modules compatible with the Lancaster curriculum and can gain international research or coursework experience.

The programme typically progresses from introductory and core modules in the early years to specialist and research-led teaching in the final year. Practical work emphasises problem-solving, mathematical rigour and the use of computational tools commonly used in theoretical research.

Entry requirements

Successful applicants normally demonstrate strong attainment in mathematics and physics or closely related subjects. Typical offers expect high achievement at school-leaving qualifications and evidence of mathematical fluency and problem-solving ability.

• A-levels: usually strong grades including A-level Mathematics and A-level Physics (or equivalent). Further Mathematics is highly recommended where available.
• International Baccalaureate: a competitive total score with Higher Level Mathematics and Physics or equivalent mathematical preparation.
• Other qualifications: applicants with suitable international or vocational qualifications are considered on their merits; mature applicants with relevant experience are also welcome.
• Additional requirements: GCSE-level passes (or equivalent) in English and Mathematics are normally expected. Evidence of the ability to undertake mathematics-rich study is important.
• Study abroad considerations: applicants should be able to meet any visa, language or partner institution requirements for the year abroad; some partner universities may have language prerequisites depending on destination.

Career prospects

Graduates leave with a strong combination of analytical, mathematical and computational skills that are in demand across many sectors. Common career pathways include:

• Further study and research: progression to MSc and PhD programmes in theoretical physics, mathematical physics or applied mathematics.
• Quantitative and data roles: positions in finance (quantitative analyst, risk modelling), data science, machine learning and statistical analysis.
• Technology and engineering: software development, computational modelling, scientific computing and technical consultancy.
• Energy and industry: roles in modelling, simulation and R&D where advanced mathematical modelling is required.
• Education and communication: teaching at various levels, science communication and public engagement roles.

Employers value the programme’s emphasis on problem-solving, modelling, programming and independent research, all of which transfer to sectors beyond academia.

Why study at University of Lancaster

Lancaster’s Department of Physics and Astronomy offers an environment that combines strong research activity in theoretical and mathematical physics with small-group teaching and accessible academic staff. The university supports study abroad through established partnerships, enabling students to broaden their perspective and gain international experience as part of their degree.

• Research-informed teaching: modules are informed by active research groups, giving exposure to contemporary theoretical problems and methods.
• Computing and facilities: access to computing resources and software commonly used in theoretical and computational physics.
• Support and careers help: dedicated academic support and careers services that help students prepare for graduate schemes, research applications or industry roles.
• Campus and community: a residential campus with a strong student community and opportunities for interdisciplinary collaboration across mathematics and science disciplines.

Overall, the Theoretical Physics with Mathematics (Study Abroad) BSc provides rigorous training in both physics and mathematics while offering an international year that enhances academic and personal development.