Math 425 / AMCS 525 - Notes and Homework Thursday January 26, 2016

Topics for this week -

  1. The wave equation - initial and initial/boundary value problems for the wave equation, forms of solutions (separated solutions, Dalembert's solution), proofs of uniqueness.

Third Homework Assignment - due Thursday, February 4 rather than Tuesday, February 2

  1. Reading: Read sections 1.3, 1.4, 1.5, 2.1 and 2.2 of the text
  2. Be prepared to discuss the following problems in class:
    • Page 19 (18 in the first edition), problems 2, 4, 5, 6, 9
    • Page 24, problems 1, 3
    • Page 27, problems 1, 2
    • Page 38 (p. 36 in the first ed), problems 1, 3, 9
    • Page 41 (p. 40 in the first ed), problems 1, 2, 3
  3. Write up solutions of the following to hand in:
    • Page 19, problems 7, 10
    • Page 25, problem 6 (this is page 24, problem 5 in the first ed)
    • Page 27, problem 4
    • Page 38 (p. 36 in the first ed), problems 2, 5, 6, 10
    • Page 41 (p. 40 in the first ed), problems 4, 5