Mathematics and Physics

The BSc Mathematics and Physics degree is designed for those seeking mathematical rigour of theoretical physics led by discipline experts. Mathematics and Physics are closely interlinked subjects, with each providing many fascinating insights into the other. The course offers parallel tracks of theoretical physics delivered by the Physics Department and mathematical physics and applied mathematics options taught by the Mathematics Department.

The first year lays the foundation in physics theory and the mathematical and laboratory skills that you will need to tackle more complex content in later years. As you progress through the course the level of theoretical content increases, extending your knowledge in areas such as electromagnetism, quantum mechanics, particle theory and advanced mathematical theory.

The final year includes a choice of an individual project where you tackle a theoretical issue or an in-depth analysis of an applied problem. You can also choose to complete an interdisciplinary enterprise module. Whichever you choose, you will be using your newly acquired skills to investigate a relevant area of interest.

The wide array of optional modules provides the flexibility to tailor your learning in line with your evolving interests. In addition, the common first year allows the option to transfer onto either the MSci Mathematics and Physics, BSc Mathematics, BSc Physics, or BSc Natural Sciences at the end of the first year.

Our BSc in Mathematics and Physics is a highly versatile qualification. Whether you want to work in finance, engineering, medical technology, renewable energy, space exploration or beyond, this degree is a step towards achieving your goal.

Course structure

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.

Plus an optional modules, in recent years these have included:

• Algebra
• Numerical Analysis
• Stars and Galaxies
• Laboratory Skills and Electronics

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

The remainder of the year is made up of option modules.

In recent years these have included:

• Analysis
• Differential Geometry
• Fluid Mechanics
• Solitons
• Topology
• Quantum Computing
• Geometry of Mathematical Physics
• Foundations of Physics B
• Computing Project
• Modern Atomic and Optical Physics
• Team Project
• Planets and Cosmology
• Science Enterprise.

Placement