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PS5soln - MATH 412 Problem Set 5 due Thursday 1 Strauss...

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Unformatted text preview: MATH 412: Problem Set 5 due Thursday, March 27, 2008 1. Strauss 4.1 #3 - Schrodinger equation 2. Strauss 4.2 #1 — diffusion equation with cruised Dirichlet—Neuiriami 80.9 3. Strauss 4.2 #4 — difiusion equation with periodic 803 4. Consider the function Hi?) 2 lat] on the interval [—1.1], a. triangle. (3) Find the Fourier series for this function (b) Sketch the periodic extension of f to the entire real line. Is this what you Would get if you evalulate the Fourier series outside. of [—1. 1], or would you get something else? 5. Strauss 5.] #5 — integrating a Fourier series - (use Eq. 12 from 5.1) 6. Strauss 5.2 #1 — function syrrin'ietrries 7. Strauss 5.2 #2 ~ periodicity oftwo cosines — if you can. illustrate by plotting some of the. cases. and include your plots :5; 744/14 710 7745.: (644,41 1L_n__.m__ 33 X” “"3 “:0 gXfli= C, M LT»- % cake/$3 E (5 Rh..-" 7, mm-“ / m a o; C m; l CQSSLL JTK [ L y—ZCEJ—A‘KOJ / f. —~—.__._.~......._.._...__....‘ _ 2 5616;: (44/3537? é; :3/fl4i327r’i ..., aM bfifl& 74> 2(33‘M(Z§:‘3€:o ega’dcww 77/ A" 6ij ...
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PS5soln - MATH 412 Problem Set 5 due Thursday 1 Strauss...

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