Math 425 - Notes and Homework Tuesday April 1, 2007

Topics for this week -

1. Convergence of Fourier series
2. Laplace's equation and harmonic functions: basic properties, compuations on rectangles and cubes (Fourier!), Poisson's formula for the disk

Seventh Homework Assignment - due Thursday, April 10

1. Reading: Read sections sections 5.4, 5.5, and 6.1 through 6.3 of the text
2. Be prepared to discuss the following problems in class:
   • Page 134 (page 129 in the first ed) problems 12, 13
   • Page 145 (page 139 in the first ed) problems 2, 3
   • Page 160 (page 154 in the first ed) problems 2, 5, 7
   • Page 164 (page 158 in the first ed) problems 1, 6
   • *Page 172 (page 163 in the first ed) problems 1, 2
3. Write up solutions of the following to hand in:
   • Page 134 (page 129 in the first ed) problems 14, 15
   • Page 145 (page 139 in the first ed) problems 4, 12
   • Page 160 (page 154 in the first ed) problems 4, 6, 8
   • Page 164 (page 158 in the first ed) problems 4, 7
   • *Page 172 (page 163 in the first ed) problem 3
   * means that we might postpone this section until the next assignment. Stay tuned.