PS5soln - MATH 412: Problem Set 5 due Thursday, March 27,...

Info iconThis preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 6
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 8
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 10
This is the end of the preview. Sign up to access the rest of the document.

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 ...
View Full Document

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.

Page1 / 10

PS5soln - MATH 412: Problem Set 5 due Thursday, March 27,...

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online