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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
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 Spring '08
 BELMONTE
 Differential Equations, Equations, Partial Differential Equations, Fourier Series, $3, Partial differential equation, 644,41 1L

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