ch10 - • Know how to compute Fourier Series for...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Chapter Review Sheets for Elementary Differential Equations and Boundary Value Problems, 8e Chapter 10: Partial Differential Equations and Fourier Series Definitions: Boundary Conditions, Two-Point Boundary Value Problem (BVP) homogeneous, Nonhomogeneous Eigenvalues, Eigenfunctions Fourier Series; Periodic, Fundamental Period Inner Product, Orthogonal, Mutually Orthogonal Piecewise Continuous Even and Odd Function Fourier Sine Series and Fourier Cosine Series Heat or Diffusion Equation Thermal diffusivity Wave Equation; Natural Frequencies, Natural Mode, Wavelength Laplace's Equations (Potential Equation) Potential equation Dirichlet and Neumann Problems Theorems: Theorem 10.3.1: Convergence of Fourier Series Important Skills: Be able to solve Boundary Value Problems. (Examples 1-4, p.571)
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: • Know how to compute Fourier Series for functions. (Examples 1-3, p.580) • Understand the convergence properties of Fourier Series and Gibbs Phenomenon. (Example 1, p.589) • Know the difference between even and odd functions and the ramifications on their Fourier Series (Examples 1 & 2, p.597) • Be able to use Separation of Variables to solve heat conduction problems, (Example 1 & 2, p.608, and Example 1, p.515) as well as wave propagation problems. (Example 1, p.627) • Know the difference between Dirichlet and Neumann problems, p.639. • Be able to apply Separation of Variables to solve Laplace's equation. (Example 1, p.642) Relevant Applications: • Acoustics, Scalar Electromagnetic Propagation, Chemical or Thermal Diffusion...
View Full Document

This note was uploaded on 02/22/2010 for the course MATH 23 taught by Professor Dorothywallace during the Spring '10 term at Dartmouth.

Ask a homework question - tutors are online