| Unless otherwise indicated all assignments are taken from Fourier Series and Boundary Value Problems, Brown and Churchill, 8th edition. |
| Homework Assignments | ||
| Date Due | Assignment | |
| 1 | January 27 |
Page 12: 1, 3, 4, 8
Page 18: 2, 4 Do problem (AB 1) in this file. Page 22: 1 Page 33: 1 Page 41: 2, 5 |
| 2 | February 3 |
Page 33: 3 (Hint: use Problem 9 on page 13. You do not need to do Problem 9 on page 13.)
Page 41: 8 Page 58: 1, 2, 3, 5. If you are asked to "describe a function graphically", it suffices to sketch a graph of that function on the interval (-2π,2π). |
| 3 | February 10 |
Do problems (AB 2), (AB 3) and (AB 4) in this file.
Page 67: 1, 2 |
| 4 | February 17 |
Page 72: 1, 2
Do problem (AB 6) in this file. Do problem (AB 5) if you feel you need a review of cylindrical and spherical coordinates. Page 78: 2, 4, 5. Notice that Newton's Law of Cooling is defined on page 74. |
| 5 | February 24 (Midterm 1) | Page 83: 1, 2, 5 Page 90: 3, 4 |
| 6 | March 2 | Do problems (AB 7) through (AB 13) in this file. |
| 7 | March 9 |
Do problems (AB 14) through (AB 16) in this file.
Page 225: 1, 4, 12a. Solutions need not be normalized. |
| 8 | March 23 | Do problems (AB 17) through (AB 21) in this file. |
| 9 | March 30 |
Page 128: 1, 2, 9
Do problems (AB 22) and (AB 23) in this file. |
| 10 | April 6 (Midterm 2) |
Do problems (AB 24) through (AB 27) in this file.
Page 236: 4a. Do problem (AB 28) in this file. |
| 11 | April 13 |
Do problems (AB 29) through (AB 31) in this file.
Page 172: 4. You may use the formula cos(απ-αx)=cos(απ)cos(αx)+sin(απ)sin(αx). Do problem (AB 32) in this file. |
| 12 | April 20 |
Do problems (AB 33) and (AB 34) in this file.
Page 176: 3 Page 181: 3, 6 |
| 13 | April 27 (Midterm 3) |
Do problems (AB 35) through (AB 37) in this file.
Page 188: 3. (Your answer may involve the Fourier transform; you don't need to put it in the form shown in the book.) Do problem (AB 38) in this file. |
| 14 | May 4 | Do problems (AB 39) through (AB 43) in this file. Problems (AB 44) and (AB 45) will not be graded. You are strongly encouraged to do them anyway, as the Cooley-Tukey algorithm will appear on the final exam. |
| May 12 | Final exam, 10:30–12:30. | |
|
Remember that all assignments are subject to change up until 3:15 p.m. on Monday.
A good way to plot things is to use WolframAlpha.com. | ||
| Some useful documents |
| (To use these, save to your computer and open using the appropriate application.) |
| Graphing in Maple, Mathematica, or Mac OS X's "Grapher" application |
| Some notes on trigonometric functions (PDF) |
| Answers to selected problems (PDF) |
| Review problems for Midterm 1 (PDF) |
| Review problems for Midterm 2 (PDF) |
| Review problems for Midterm 3 (PDF); Formulas.pdf |
| Diagram of the FFT, N=8 (PDF) |
| Review problems for the final exam (PDF) and answers (PDF) (also go over the review problems for the midterms) |
InstructorName: Ariel Barton Syllabus: syllabus.pdf Office HoursVincent 459 Important dates
|