Principles and Techniques of Applied Mathematics
MATH 373-01

Homework Assignment #2

Due Monday, February 7, 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 1.3, pp. 18 - 19
Problems:   2, 5, 9

Hint: For #2, write down F = ma as we did in class for the wave equation. You only need to consider the horizontal direction of the force. Assume that the density of the chain p is constant. Problem #9 is a good practice problem concerning the Divergence Theorem from multivariable calculus. For the volume integral on the left, change to spherical coordinates.

Section 1.4, pp. 24 - 25
Problems:   1, 5

Hint: For #5, the key is you are looking for an equilibrium solution. How does this simplify the diffusion equation?

Section 1.5, pp. 27
Problems:   1, 4