# Homework Assignments

## Assignment #1

Due in Math Main Office at 2:55pm, Friday, Feb 10.

# 1.2

1.2.3 (derive heat equation for rod of varying cross-sectional area) [4pts]

1.2.6 *Grad students only* [Part (a) is really just definition. 4pts for part (b). ]

# 1.3

1.3.1 [2 pts. Looking for some valid reasoning for the sign of H.]

1.3.2 [Answer is in back of book. 2pts want to see statement that fluxes are equal,
and then Fourier to get relation between gradients. *)

*Note that answers to starred exercises are in the back of the book.

# 1.5

1.5.3 (a) [4 pts]. (b) [2 pts]. (c) [3 pts]. (d) [4 pts]. (e) [4pts].

For 1.5.3(c-e) alternative valid methods are certainly possible and perhaps better!

1.5.12 (a) [2 pts]. (b) [3 pts]. (c) [2 pts].