BSc Mathematics with Applied Mathematics/Mathematical Physics

3 Years On Campus Bachelors Program

Imperial College London

Program Overview

This three-year undergraduate degree combines a solid foundation in mathematics with a specialist focus on applied mathematics and mathematical physics. It is ideal for students who enjoy rigorous mathematics and want to apply it to modelling real-world phenomena in physics, engineering, or the natural sciences.

Curriculum Structure

Year 1:
You’ll start with core modules such as Analysis 1, Linear Algebra and Groups, Calculus and Applications, Probability and Statistics, Introduction to Computation, and An Introduction to Applied Mathematics. These courses develop essential problem-solving, analytical, and computational skills while transitioning you to university-level mathematics.

Year 2:
The second year continues with modules like Analysis 2, Multivariable Calculus and Differential Equations, Linear Algebra and Numerical Analysis, Partial Differential Equations in Action, and a Group Research Project. Optional modules such as Groups and Rings, Probability for Statistics, Network Science, or Principles of Programming allow you to begin specialising in applied mathematics and mathematical physics.

Year 3:
The final year focuses on the specialist pathway. You select at least five modules from applied/mathematical physics options, such as Advanced Topics in Partial Differential Equations, Computational Partial Differential Equations, Fluid Dynamics 1 & 2, Tensor Calculus and General Relativity, and Quantum Mechanics 1 & 2. Additional modules can be chosen from broader mathematics or physics-related topics, providing flexibility to tailor your studies to your interests in modelling, computation, or theoretical physics.

Focus areas: Applied mathematical modelling, differential equations, computational methods, mathematical physics (fluid dynamics, relativity, quantum mechanics), core mathematics (algebra, analysis, probability)

Learning outcomes: Develop advanced reasoning and proof techniques; formulate and analyse mathematical models for physical and engineering systems; apply computational and numerical methods to real-world problems; prepare for postgraduate study or careers that combine mathematics with scientific or engineering applications

Professional alignment (accreditation): Delivered by Imperial’s Department of Mathematics, the programme is globally respected, and the skills gained are highly recognised by employers and research institutions, though it is not tied to a specific professional engineering accreditation

Reputation (employability rankings): Graduates benefit from Imperial’s strong global reputation. Around 90 % of mathematics graduates go on to work or further study, with roughly 84 % entering highly skilled employment, including roles in research, technology, engineering, finance, and analytics

Experiential Learning (Research, Projects, Internships etc.)

The BSc Mathematics with Applied Mathematics / Mathematical Physics at Imperial College London combines rigorous mathematical theory with practical applications in physics, engineering, and computational modelling. It’s ideal for students who enjoy abstract mathematics but also want to see how it explains real-world phenomena.

Experiential Learning

Here’s how practical and applied skills are built into the programme:

Problem-Solving Tutorials and Seminars – From Year 1, you engage in small-group work and problem-solving exercises, developing logical reasoning and collaborative skills.
Individual Research Project – Early in the programme, you undertake a project exploring a mathematical question independently, developing research and presentation skills.
Group Research Projects – In Year 2, you work collaboratively on applied mathematics or physics-based problems, enhancing teamwork and analytical communication.
Specialised Year 3 Modules – Choose modules such as Computational Partial Differential Equations, Fluid Dynamics, Quantum Mechanics, Dynamical Systems, or Finite Element Analysis. These provide hands-on exposure to mathematical modelling, simulations, and numerical analysis.
Computational Tools and Numerical Methods – Throughout the programme, you apply mathematical concepts using programming, simulations, and numerical methods to solve complex, real-world problems.
Independent and Collaborative Work – The programme emphasizes both individual investigation and teamwork, building skills in research, problem-solving, and effective communication of results.
Research-Driven Learning Environment – Access to departmental seminars, workshops, and a vibrant research community connects your studies to current advances in applied mathematics and mathematical physics.

This combination of theory, computation, and applied modelling ensures that graduates are well-equipped for careers in research, engineering, data science, computational modelling, physical sciences, or for pursuing further advanced study.

Progression & Future Opportunities

The BSc Mathematics with Applied Mathematics / Mathematical Physics at Imperial College London combines rigorous mathematical training with a focus on modelling real-world physical systems. Graduates develop strong analytical, computational, and problem-solving skills, preparing them for careers such as Applied Mathematician, Theoretical Physicist, Data Analyst, and Quantitative Researcher.

Progression & Future Opportunities:

University services: Imperial’s Careers Service provides tailored support, including one-on-one guidance, CV and interview preparation, internship placement, and networking events with employers in science, technology, finance, and research.
Employment stats & salary figures: Around 89% of Imperial mathematics graduates enter employment or further study within 15 months of graduation. Starting salaries typically range from £40,000 to £52,000, reflecting the strong analytical and modelling skills graduates gain.
University–industry partnerships: Students benefit from Imperial’s collaborations with research institutes, tech companies, and consultancy firms, offering opportunities for projects, internships, and exposure to real-world applications of applied mathematics and mathematical physics.
Long-term accreditation value: While the degree is not professionally accredited, Imperial’s global reputation and the in-depth training in applied mathematics and physics provide excellent credentials for academic and industry roles worldwide.
Graduation outcomes: Graduates are well-prepared for roles in research, technology, finance, engineering, and data science. They also gain the foundation necessary for advanced study in mathematics, physics, or computational modelling.

Further Academic Progression:
After completing this BSc, students can pursue a Master’s or PhD in Applied Mathematics, Mathematical Physics, Theoretical Physics, Computational Modelling, or Data Science. The programme also provides a pathway toward research careers in academia, industry R&D, or specialist quantitative roles.