Mathematics and Physics, BSc (Hons)

The BSc in Mathematics and Physics equips students with a rigorous foundation in theoretical physics and applied mathematics, delivered by experts from both departments. These interlinked disciplines offer deep insights into areas like quantum mechanics and electromagnetism. The first year builds essential skills in physics theory, mathematics, and laboratory techniques, while subsequent years advance knowledge through core modules on topics such as differential equations, vector calculus, and thermodynamics. Students can tailor their studies with optional modules and choose a final-year project focused on theoretical issues, applied problems, or an interdisciplinary enterprise module.This flexible programme allows transfers to related degrees after the first year and includes assessments primarily through exams, coursework, and a capstone module that counts toward final marks. Graduates are well-prepared for diverse careers in finance, engineering, medical technology, renewable energy, and space exploration.

Year 1 Core modules: Calculus builds on ideas of differentiation and integration in A level mathematics. The module begins with functions of a single variable before progressing to functions of several variables. Topics include methods of solving ordinary and partial differential equations, and an introduction to Taylor series, Fourier series and Fourier transforms. Linear Algebra presents mathematical ideas, techniques in linear algebra and develops the geometric intuition and familiarity with vector methods you will need for more challenging material later in the course. Analysis aims to provide an understanding of real and complex number systems, and to rigorously develop the calculus of functions of a single variable from basic principles. Foundations of Physics introduces classical aspects of wave phenomena and electromagnetism, as well as basic concepts in Newtonian mechanics, quantum mechanics, special relativity and optical physics. Discovery Skills in Physics provides a practical introduction to laboratory skills development with particular emphasis on measurement uncertainty, data analysis and written and oral communication skills. It also includes an introduction to programming. Year 2 Core modules: Complex Analysis introduces the theory of complex analysis through the study of complex differentiation, conformal mappings, metric spaces, series and uniform convergence, contour integrals and calculus of residues, and applications. Analysis in Many Variables provides an understanding of calculus in more than one dimension, together with an understanding of, and facility with, the methods of vector calculus. It also explores the application of these ideas to a range of forms of integration and to solutions of a range of classical partial differential equations. Foundations of Physics A develops your knowledge of quantum mechanics and electromagnetism. You will learn to apply the principles of physics to predictable and unpredictable problems and produce a well-structured solution, with clear reasoning and appropriate presentation. Foundations of Physics B extends your knowledge of thermodynamics, condensed matter physics and optics. EITHER Mathematical Physics provides a mathematical appreciation of the conceptual framework of classical and quantum physics by following the development of mechanics after Newton's laws to the introduction of quantum mechanics. OR Theoretical Physics from a physics perspective develops an appreciation of the Lagrangian and Hamiltonian formulations of classical mechanics; an ability to describe the rotational motion of a rigid body; describe elements of quantum mechanics in a rigorous mathematical way and to manipulate them at the operator level. Year 3 (Year 4 if undertaking a placement or year abroad) In the final year you will either undertake a detailed and critical examination of an area of Mathematical Physics or perform an in-depth analysis of an applied practical problem or take our enterprise module where groups of students develop a business plan to bid for research funding for an applicable innovation. This Capstone module will develop your ability to plan and manage your own learning and provides an opportunity to research a specific topic and present your findings and conclusions. Core modules: Foundations of Physics A further develops your knowledge to include quantum mechanics and nuclear and particle physics. You will learn to apply the principles of physics to complex problems and produce a well-structured solution, with clear reasoning and appropriate presentation. Theoretical Physics* introduces more advanced methods in electromagnetism that can be used to investigate more realistic problems and concepts. It also builds your quantum mechanics knowledge and addresses further applications and conceptual issues of measurement and interpretation.

• required for students who chose Theoretical Physics in Year 2