Principles and Techniques of Applied Mathematics
MATH 373-01

Homework Assignment #3

Due Friday, February 18, START of Class

Homework should be turned in at the BEGINNING OF CLASS. All problem numbers refer to the Strauss book, the required text for the course. Unless otherwise indicated, all parts of a problem (a), (b), etc. should be completed. You should write up solutions neatly to all problems, making sure to SHOW ALL YOUR WORK. A nonempty subset will be graded. You are strongly encouraged to work on these problems with other classmates, although the solutions you turn in should be YOUR OWN WORK.
Important: Please list the names of any students or faculty who you worked with on the assignment.

Section 2.1, pp. 36 - 37
Problems:   1, 5, 10

Hint: Problem #5 will take a while but its designed for you to understand how the solution of the wave equation really describes physically what you expect to see. Follow the book's hints carefully. For problem #10, factor the operator like we did in class for the wave equation and then proceed as we did with the derivation of D'Alembert's formula.

Section 2.2, pp. 40
Problems:   1, 3

Section 2.3, pp. 44 - 45
Problems:   1, 5

Section 2.4, pp. 50 - 52
Problems:   1, 4, 6, 16