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Unformatted text preview: Theorem 11.3.1: Existence and Uniqueness of Solutions to Nonhomogeneous SturmLiouville problems Theorem 11.3.2: Fredholm Alternative Theorem Theorem 11.6.1: Completeness of SturniLiouville Eigenfunctions Important Skills: Be able to compute eigenvalues and eigenfunctions. (Example 1, p.660) Know how to normalize a set of eigenfunctions. (Example1 & 2, p.670) Expand a given function in terms of normalized eigenfunctions. (Example 3, p.673) Solve nonhomogeneous PDE's with mixed boundary conditions. (Example 1, p.683) Know circular vibration problems, Bessel functions, and how they relate to singular SturmLiouville problems. p.696 and Section 11.5. Discuss the mean convergence of series representations. (Example 1, p.7133) Relevant Applications: Any problems where separation of variables leads to a two point boundary value problem....
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This note was uploaded on 02/22/2010 for the course MATH 23 taught by Professor Dorothywallace during the Spring '10 term at Dartmouth.
 Spring '10
 DorothyWallace
 Differential Equations, Equations

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