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m716syll - 1992(ISBN 0471548685(2 Additional Materials From...

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Math 716, JR 221, Wi, ’09,: Introduction to PDE The emphasis in Math 716 is on solving linear partial differential equations (PDEs) using a variety of different methods. Topics that will be discussed are: (1.) Linear partial differential equations, and their derivation: Laplace, diffusion, wave and transport equations. (2.) Method of characteristics for 1st order PDEs (both linear and nonlinear). (3.) General Sturm-Liouville Theory: Eigen Function expansions, special functions (Fourier and Bessel functions, ..), Separation of variables and application to 2nd order PDEs in one and two space dimensions. 4. Other solution methods: (Maximum principle and harmonic functions, Green’s func- tions, Laplace transform, Weak solutions). Text: (1.) Partial differential equations: An introduction by W.A. Strauss, John Riley & Sons,
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Unformatted text preview: 1992 (ISBN 0471548685) (2.) Additional Materials From Renardy & Rogers, Partial Diferential Equations & P.R Wallace, Mathematical Analysis oF Physical Problems. Grading Policy: 6-7 homework sets, each due 7-9 days aFter it is assigned. Homework will be posted on my website http://www.math.ohio-state.edu/ ∼ tanveer Homework will count For 50 % oF grades. Take home ²nal given out in the last week oF classes and will count For another 50 %; collaboration in homework limited to discussion oF approach. Turned in homework by diferent people should not look the same. No collaboration of any kind in the ²nals. IF in doubt about policy, consult instructor. OFce hours: MW± at 2:30 at my o³ce (MW 420) or by appointment only. 1...
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