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