Here's some advice on preparing for the 2nd midterm.
The test concentrates on Chapter 4 (Complex Integration) and Chapter 5 (Series), along with Sections 6.1 (Residue Theorem) and 6.3 (Improper Integrals of rational functions). Of course, you will also need many of the concepts from Chapters 1-3.
You may prepare one page of notes (double-sided if you wish) to use during the test. You may also use Saff and Snider. Otherwise the test is closed-book, closed-notes, closed-everything, and not to be discussed with anyone except me. The test will be a 3-hour takehome; the three hours should be in a continuous block.
In Chapters 4 and 5 there's a lot of theory. Make sure you know the theorems we studied, and can apply them. (Know the hypotheses and how to check them, and the conclusions.) A partial list follows. Also, we've learned plenty of computational techniques. This test will have a mixture of proofs and computations.
List of stuff to know (I think this covers just about everything):
Last modified October 2003, by ward at hmc.edu