# m3414_1

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Analytic Solutions of Partial Dierential Equations MATH3414 School of Mathematics, University of Leeds 15 credits Taught Semester 1, Year running 2003/04 Pre-requisites MATH2360 or MATH2420 or equivalent. Co-requisites None. Objectives: To provide an understanding of, and methods of solution for, the most important types of partial dierential equations that arise in Mathematical Physics. On completion of this module, students
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Analytic Solutions of Partial Di   erential Equations MATH3414 School of Mathematics, University of Leeds   15 credits   Taught Semester 1,   Year running 2003/04   Pre-requisites MATH2360 or MATH2420 or equivalent.   Co-requisites None.   Objectives: To provide an understanding of, and methods of solution for, the most important types of partial di   erential equations  that arise in Mathematical Physics. On completion of this module, students should be able to: a) use the method of characteristics to solve  rst-order hyperbolic equations; b) classify a second order PDE as elliptic, parabolic or hyperbolic; c) use Green's functions to solve elliptic equations; d) have a basic understanding of di   usion; e) obtain a priori bounds for reaction-di   usion equations.   Syllabus: The majority of physical phenomena can be described by partial di   erential equations (e.g. the Navier-Stokes equation of uid dynamics, Maxwell's  equations of electromagnetism). This module considers the properties of, and analytical methods of solution for some of the most common

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