set1_prolems - MA 527, Fall 2010, Purdue University Sample...

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MA 527, Fall 2010, Purdue University Sample questions for exam 2 Chapter 6: Laplace transforms. Definition, behavior under differentiation and integration, Laplace transforms of step and delta functions, t-shift, s-shift, convolution, periodic functions, and solving ODEs and systems of ODEs using Laplace transforms. Chapter 5: Sturm-Liouville and orthogonal expansion. Definition of Sturm- Liouville problem, finding eigenvalues and eigenfunctions, orthogonality (and weight functions), series expansion in terms of eigenfunctions. Chapter 11: Fourier series and transforms. Integral formula for Fourier coef- ficients, representation of even and odd functions, real and complex Fourier series, solving ODEs, approximation with trig polynomials, sine, cosine, and Fourier trans- forms and properties. Sample problems. The problems below are similar to problems that you might find on the exam. You will be allowed one standard page of handwritten notes (both sides).
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This note was uploaded on 04/03/2012 for the course MA 527 taught by Professor Weitsman during the Spring '08 term at Purdue University-West Lafayette.

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set1_prolems - MA 527, Fall 2010, Purdue University Sample...

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