Math 425 - Notes and Homework Tuesday February 12, 2008

Topics for this week -

1. The heat equation - initial and initial/boundary value problems for the heat equation, forms of solutions (separated solutions, "fundamental" solution), proofs of uniqueness, maximum principle, continuous dependence.

Fourth Homework Assignment - due Tuesday, February 26

1. Reading: Read sections 2.3, 2.4,and 3.1 of the text
2. Be prepared to discuss the following problems in class:
   • Page 45 (page 44 in the first ed), problems 2, 4, 6
   • Page 52 (page 50 in the first ed), problems 2, 6, 7, 8, 13, 16
   • Page 60 (page 58 in the first ed), problems 1, 3
3. Write up solutions of the following to hand in:
   • Page 45 (page 44 in the first ed), problems 2, 4, 6
   • Page 52 (page 50 in the first ed), problems 3, 12, 15, 17, 18, 19
   • Page 60 (page 58 in the first ed), problems 2, 4