Math 314 Homework Assignment 05

- Due 12:30 PM Wednesday, October 20th, 1999.

• Section 1.10, page 118:
  • 1, 2, 5

• Section 2.1, page 141:
  • 2, 4, 6, 8

• Section 2.2, page 147:
  • 4, 6, 8

• Section 2.3, page 154:
  • 5, 6, 7

• Maple Exercise:
  • Use Maple to lot the solution w(x,t) in equation (17) of sec. 2.3, for N = 5, 10, 100, where N is the number of terms taken in the partial Fourier sum. Assume: a = 1, k = 1, T0 = 100, and T1 = 300. Choose a suitable range of t which shows how w(x,t) depends on t and how N affects this. (You may either do a 3-D plot with plot3d() or plot a sequence of graphs on a 2-D plot.)