PHGN311 Homework #3
Due Friday, Sep. 13, 2013 at the beginning of class
Complex numbers
Show your work on all problems. You can use something like Mathematica to check
your results. There are alot of good problems in this chapter you can use to practice
working with complex variables. I encourage you to do more than just what is required
here.
Also, finish reading Chapter 2 on complex variables and functions. We will move on to
Chapter 4 on partial differentiation next week.
1. Boas 2.5.34
2. Boas 2.5.47
3. Boas 2.5.50
4. Boas 2.5.60 (both describe in words and make a sketch on a graph)
5. Boas 2.5.62 (same thing, describe and sketch, this one isn’t hard but you have to think
about it and remember your geometry. Start early so you can get help)
6. Boas 2.7.15
7. Boas 2.10.21 (sketch the roots on the complex plane).
8. Boas 2.10.31 (this one is a bit tricky. You should get a sum that you can use Eq. 1.4
to help evaluate)
9. Boas 2.11.10
10. Boas 2.14.15 (the answer in the back isn’t giving you all possible answers to this
one)
11. Attached computational problem.