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Courses in Mathematics and Statistics Level 1 Modules Level 2 Modules Level 3 Modules Level 4 Modules Level 5 Modules Honours timetable 2010/2011 Sem. 1 2010/2011 Sem. 2 2011/2012 Sem. 1 & Sem. 2 2012/2013 Sem. 1 & Sem. 2

MT3601 FUNDAMENTALS OF APPLIED MATHEMATICS CLICK HERE FOR COURSE NOTES Aims To introduce students to basic mathematical methods which can be applied to problems in electromagnetism, fluid dynamics, plasma dynamics and solar physics. Objectives By the end of the course students are expected to understand: - the concept of vector fields and fields lines; - fluid motions caused by pressure; - the vector integral equations and the concept of flux; - the equations of continuity, of Euler, and of Bernoulli; - basic electromagnetic concepts and Maxwell's equation; - Gauss's Law and simple electrostatic problems; - the magnetic effects caused by currents; - the concept of vorticity and the Magnus effect. Students should be able to: - solve simple potential problems which have rectangular, cylindrical, spherical or image symmetries; - manipulate vector equations involving the gradient operator; - tackle courses MT4509 and MT4510 knowing they have a thorough grounding in the basic underlying principles. Textbooks Electricity and Magnetism: W N Cottingham and D A Greenwood, Cambridge University Press; 1991. Electromagnetic Fields and Waves: P Lorrain, D R Corson and F Lorrain, Freeman; 1988. Elementary Fluid Dynamics: D J Acheson, OUP, 1990. Assessment 2 Hour Examination = 100% Prerequisites MT2001 and MT2003 Availability Every year in semester 1 at 10 Lecturer Prof A W Hood, Prof C E Parnell Click here for access to past examination papers for this module. Click here to see the University Course Catalogue entry. Revised: PMH (September 2011)