Time Schedule:
Eleftherios Kirkinis
AMATH 353
Seattle Campus
Heat equation, wave equation, and Laplace's equation. Separation of variables. Fourier series in context of solving heat equation. Fourier sine and cosine series; complete Fourier series. Fourier and Laplace transforms. Solution of partial differential equations on infinite domains. D'Alembert's solution for wave equation. Prerequisite: either AMATH 351 or MATH 307. Offered: AWSp.
Class description
Introductory pde's. Class web-site http://www.amath.washington.edu/courses/353-winter-2009/
Student learning goals
Learn basic solution techniques for the four main linear partial differential second order equations. Apply these to the solution of scientific problems.
Become familiar with the physical significance of the four main linear PDE's: Diffusion, Wave, Schroedinger and Laplace.
General method of instruction
Recommended preparation
Required familiarity with SOLUTION TECHNIQUES of ordinary differential equations. In particular review: First order ode's (separable, linear) Second order linear with constant coefficients (three cases depending on the roots of the char. eqn), non-homogeneous second order ode's (method of undetermined coeffts) and Euler equations (soln x^r, find r). Consult http://www.amath.washington.edu/courses/351-spring-2005/ need be. You must also know what a partial derivative does to a scalar function of several variables. Taylor series expansion of a function of a single variable.
Class assignments and grading
