Keele University Prospectus Undergraduate | 2016 | Page 146

COMPUTING AND MATHEMATICS Mathematics Overview Mathematics is of fundamental importance in a modern society. It has established and rapidly developing applications in business, economics, management, science, technology and medicine, with its importance increasingly being recognised in law, politics, sport, ecology, psychology and sociology. Mathematical ideas contribute to conceptual understanding and debate, both in everyday life and in research. Notwithstanding its usefulness, it is an intrinsically attractive field of study, which gives rise to intellectually challenging problems. Whilst most of the course is delivered by means of lectures and problem-solving classes, we recognise that IT is having an impact on the teaching, learning and practice of mathematics. We are equipped with a computing laboratory with a range of software used by professional mathematicians and statisticians. These facilities are available throughout the programme and are intended to stimulate and motivate both insight and comprehension. Our students have a range of mathematical backgrounds. A deliberate effort is made to effect a smooth transition to university-level study and support is available for consolidating mathematical capability. There are also diagnostic testing facilities that are designed to assist new students with suitable preparation for the course. Course content The modules in the first two years provide a broadbased foundation for more specialised studies in the third year. First year The first year includes two modules on calculus, which cover essential techniques and results with an emphasis on explanation, in contrast with A-level. There are also two modules on algebra, the first of which introduces the need for rigour in mathematics and develops the ability to construct logical arguments, and the second of which covers linear algebra and linear programming. The calculus modules are supported by a computer based component that provides online tutorials and further practice on essential techniques. In addition, there are two modules targeted at enhancing mathematical reasoning and problem-solving skills. If you are a dual honours student you will take the two calculus and two algebra modules. Second year The modules that follow in the second year build on first year modules and cover key ideas in pure and applicable mathematics. You are able to choose optional modules, depending on your particular interests. If you are single honours the programme is as follows In the first semester, the modules are: • Differential Equations • Analysis I • Probability Plus one module from: • Operational Research • Numerical Methods • Linear Algebra The second semester modules are: • Complex Variable I and Vector Calculus • Abstract Algebra • Mathematical Modelling Plus one module from: • Stochastic Processes • Dynamics • Analysis II binations Popular com Ph d ysics, Mathematics an d Economics, Mathematics an d Computer Mathematics an ics and at m he at M e, Scienc athematics Psychology, M ics and Astrophys 146