Math 314 Homework Assignment 09

- Due 12:30 PM Monday, Novembver 29th, 1999.

• Section 5.3, page 306:
  • 6, 7, 8
    (For #7 (b) and (c), the solutions will involve double sums. Use Maple to sum 25 terms of the series, up to N=5 and M=5, where N and M represent how many terms are taken in the two sums. Assume a = 1, b = 2, and k = 1. Do a 3-D plot of the solution for 2 or 3 different values of t which are of interest, and then make a 3-D animation of the solution for a range of t which is interesting. Hand-in your plots for the 2 or 3 different values of t, and hand-in your code for the animations. [And, of course, hand-in your handwritten work showing your derivation of the solutions.])
    (See the Maple Worksheet posted with the lecture notes from Friday November 19th 1999 for an example of a double-sum solution and animating it in 3-dimensions.)

• Section 5.4, page 309:
  • 6, 8
    

• Section 5.5, page 314:
  • 8, 10
    (#10 depends on #4. However, you don't have to do #4. Just take the relation given in #4 to be true. [You are, of course, free to verify its truth if you want to.])