Unformatted text preview: 8. Wave equation: vibration of a fixedend elastic string Except: the topics below are explicitly NOT covered on the final exam: a. Mixing/compound interest/air resistance problems b. Reduction of order c. D’Alembert solution of the wave equation d. Lapalce/potential equation (section 10.8; note that this topic is different from Laplace transforms, which will be on the exam) Comments : Students should know basic integration techniques; partial differentiation; the Existence and Uniqueness theorems; the general longterm behavior of different types of solutions; the behavior of the solutions of various types of massspring systems; stability/ phase portrait classifications; Laplace transforms; computing Fourier coefficients and determine the convergence of Fourier series; finding the steadystate solution for simple nonhomogeneous boundary conditions; and each of the steps used to solve a second order linear PDE initialboundary value problem....
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This note was uploaded on 07/16/2011 for the course MATH 251 taught by Professor Chezhongyuan during the Spring '08 term at Penn State.
 Spring '08
 CHEZHONGYUAN
 Math, Differential Equations, Equations, Partial Differential Equations

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