Keele University Prospectus Undergraduate | 2016 | Page 152

COMPUTING AND MATHEMATICS Mathematics and Physics Overview The interconnected disciplines of Mathematics and Physics both involve high levels of abstraction and conceptual sophistication yet can contribute to many of the world’s most pressing needs. The influence of the two areas is felt more broadly than ever with new applications being found in medicine, finance, communications, the internet, green technology and the arts. Both subjects have long traditions with well established roles in industry, science, computing and engineering. In mathematics there is a variety of modules to choose from in pure, applied and statistical mathematics, and there is the option to complete individual and group project work. Several of the mathematics staff are engaged in research that is closely related to areas of theoretical physics such as fluid mechanics and waves. In physics, as well as investigating the key ideas of classical and modern physics, you will have the opportunity to complete research orientated modules and projects. There are unique observatory facilities at Keele and numerous optional astrophysics modules in the third year. Course content First year The aim of the first year is to establish a foundation of learning in the core areas of mathematics and physics on which more advanced study can be built. • Abstract Algebra • Operational Research In physics you will take the following four modules which include laboratory work and an experimental team project as well as further mathematical methods. • Quantum Mechanics • Optics and Thermodynamics • Statistical Mechanics and Solid State Physics • Nuclear and Particle Physics Third year In your final year you will study more advanced and focused material in both mathematics and physics. You will choose four mathematics modules from the list below, each of which covers an applied, pure or statistical area of mathematics in some depth. Some of the applied options relate closely to theoretical physics. • Partial Differential Equations • Nonlinear Differential Equations • Waves • Fluid Mechanics • Complex Variable II • Mathematical Modelling • Dynamics • Numerical Methods 152 • Linear Algebra In physics you study modules in Mechanics, Gravity and Relativity, The Nature of Matter, Oscillations and Waves and Electricity and Magnetism. These modules include mathematical methods and laboratory work. You will also choose two modules from the following: U • Analysis II • Relativity In mathematics you will study core modules in Differential Equations and in Complex Variable and Vector Calculus which are both very pertinent to mathematical physics. DU • Analysis I In mathematics you will take two modules in calculus and two in algebra which together encompass material on univariate and multivariate differential and integral calculus, differential equations, sets, functions and number systems, vectors and matrices and optimisation. These ideas are developed in a more rigorous style than at A-level. Second year With the foundations in place, the second year begins the process of in depth study in many different branches of the two disciplines. POP CO AL HO LAR MB INANOUR TIO N • Numerical Analysis • Mathematical Biology • Professional Mathematics • Graph Theory • Group Theory • Logic • Codes and Cryptography • Ring