### Test Dates

- Monday, February 16, Midterm 1 — study guide for midterm 1 — A print-out of the study guide will be provided to you to use during the examination
- Friday, March 13, Midterm 2
- Tuesday, May 5, noon-1:45pm Final Exam

### Assignments and Lectures

- Week 1
- 1/12/2015 - Lecture 1 — Definition and algebraic properties of the complex numbers
- 1/14/2015 - Lecture 2 — Complex numbers as vectors, conjugation
- Assignment 1 — Due 1/21/2015
- 1/16/2015 - Lecture 3 — Triangle inequality, exponential form, argument

- Week 2
- Assignment 2 — Due 1/28/2015
- 1/21/2015 - Lecture 4 — Arguments of products, roots of unity
- 1/23/2015 - Lecture 5 — Roots, subsets of
**C**

- Week 3
- 1/26/2015 - Lecture 6 — Bounded sets, accumulation points, connected sets, functions, multivalued functions
- Assignment 3 — Due 2/4/2015
- 1/28/2015 - Lecture 7 — Real and imaginary parts of a function, visualizing functions, limit definition, properties of the limit
- 1/30/2015 - Lecture 8 — Continuity

- Week 4
- 2/02/2015 - Lecture 9 — Limits involving infinity, definition of the derivative, properties of the derivative, rational functions are differentiable on their domains, Re
`(z)`is not differentiable - Assignment 4 — Due 2/11/2015
- 2/04/2015 - Lecture 10 — The Cauchy-Riemann equations

- 2/02/2015 - Lecture 9 — Limits involving infinity, definition of the derivative, properties of the derivative, rational functions are differentiable on their domains, Re
- Week 5
- 2/09/2015 - Lecture 11 — Holomorphic maps from Cauchy-Riemann equations
- 2/11/2015 - Lecture 12 — Exponential function, Complex logarithm
- 2/13/2015 - Study guide for midterm 1

- Week 6
- Assignment 5 —
**Now due 2/27/2015** - 2/18/2015 - Lecture 13 — Complex exponents, Complex sine and cosine

- Assignment 5 —
- Week 7
- Assignment 6 — Due 3/4/2015
- 2/25/2015 - Lecture 14 — Continuity, differentiability and integration of complex valued functions of a real variable
- 2/27/2015 - Lecture 15 — Integrals and contour integrals, bounds for integrals and contour integrals

- Week 8
- Assignment 7 — Due 3/11/2015

- Week 10
- Assignment 8 — Due 4/1/2015

- Week 11
- Assignment 9 — Due 4/8/2015

- Week 12
- Assignment 10 — Due 4/15/2015

- Week 13
- Assignment 11 — Due 4/24/2015 —
**Hand in 5b separately for extra credit**

- Assignment 11 — Due 4/24/2015 —