Mathematics and Physics

Durham University

Taught by discipline experts and recognised by the Institute of Physics, this course brings together the closely linked fields of mathematics and physics, while offering opportunities to specialise and apply your learning.,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 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.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.Course structureYear 1 modulesCore 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 modulesCore 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.