PS6soln1 - eff/M,“ globMT/l “d5 MATH 412: Problem Set 6...

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Unformatted text preview: eff/M,“ globMT/l “d5 MATH 412: Problem Set 6 due Thursday, April 3, 2008 1. Strauss 5.2 #11 — full Fourier series — (complex form only) 2. Strauss 5.3 #2 — Legendre polynomials 3. Using the following generalized definition of the angle between two elements of an inner product space (f, g) V (f, f)(9, 9) (a) show that the angle 6‘ between m and $2 is about 145°, Where the inner product 0056 E (M) a renews; (b) what would the angle between the same two functions be for the innner product (12905 ‘ renown: 4. Strauss 5.3 #6 — Ist Order difierentz’ol operator - (consider Xm /da;' 2 A1X1, and follow what we did in class, or pp.118—119) 5. Strauss 5.3 #12 - Green’s First Identity in 1D 6. Strauss 5.4 #12 — using Parsenol"s equality ...
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This note was uploaded on 07/23/2008 for the course MATH 412 taught by Professor Belmonte during the Spring '08 term at Pennsylvania State University, University Park.

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PS6soln1 - eff/M,“ globMT/l “d5 MATH 412: Problem Set 6...

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