You will be able to use the formula sheets for the exam. You may have some additional notes of your own added to them if you wish.

The exam will cover Assignments 11 through 17. Here are links to the assignments and their solutions:

• Assignment 11 and its solutions
• Assignment 12 and its solutions
• Assignment 13 and its solutions
• Assignment 14 and its solutions
• Assignment 15 and its solutions
• Assignment 16 was Exercise 4 of Assignment 15. The exercise and its solutions can be found with that assignment.
• Assignment 17 and its solutions

Anything on the above assignments is "fair game" for the exam. However, in order to help you organize your thinking, here is somewhat of a listing of the topics:

1. Roots of complex numbers:
• Finding roots of complex numbers, including all roots, distinct roots, and principal root.
• Be able to give roots in exact rectangular form in cases where that is reasonable.
• Be able to give branches of a root function, and to find a root in a given branch.
2. Contour integrals using Cauchy's Integral Formulas (CIF):
• Be able to apply the standard CIF (Theorem 4.13) and the CIFs for derivatives (Theorem 5.1).
• Be able to split an integral into several integrals to handle multiple singularities.
• Be able to factor denominators as needed to do either, or both, of the above two things.
3. Power series:
• Be able to find a geometric series representing a given rational function.
• Be able to determine the radius of convergence of a power series, geometric or otherwise.
• Be able to use substitution or algebra to get a power series by modifying a known series.
4. Bounding:
• Be able to bound polynomials above or below using the triangle inequality and/or Lemma 5.6, including over a given curve.
• Be able to bound rational expressions, including over a given curve.
• Be able to bound integrals.