Day	Topic	Book pages	Homework
8/28	Properties of complex numbers	Chapter I
8/30	Metric space basics	P. 11-13	Homework 1, due 9/6
9/4	No class - Labor Day
9/6	Connectedness	P. 14-17	Homework 2, due 9/13
9/11	Compactness; sequences	P. 18, 20-23
9/13	Continuous functions	P. 24-28
9/18	Uniform convergence, power series	P. 29-33	Homework 3, due 9/27
9/20	No class
9/25	Complex differentiation	P. 33-38
9/27	Logarithms; Cauchy-Riemann equations	P. 39-42
9/29	Harmonic functions; conformal mapping	P. 42-47	Play with demo
10/2	Riemann sphere; Möbius transformations	P. 8-9, 47-49	Homework 4, due 10/11
10/4	Line integrals	P. 61-65
10/9	Power series representations	P. 68-72
10/11	Zeros of an analytic function	P. 73, 76-79	Homework 5, due 10/18
10/16	Winding numbers	P. 79-83
10/18	Homotopy and integrals	P. 87-95	Homework 6, due 10/25
10/23	Cauchy's theorem and integral formula	P.83-86
10/25	Counting zeros, open mapping theorem	P. 97-99
10/30	Midterm exam		Solutions
11/1	Poles and removable singularities	P. 103-106	Homework 7, due 11/8
11/6	Essential singularities	P. 106-110
11/8	Residue Theorem	P. 112-116	Homework 8, due 11/15
11/13	Integrals using residues	BN, P. 144-151
11/15	Sums using residues	BN, P. 151-154	Homework 9, due 11/29
11/27	The Argument Principle	P. 123-125
11/29	Rouche's theorem; Maximum Modulus	P. 125-126, 128-130	Homework 10, due 12/6
12/4	Schwarz's Lemma	P. 130-132
12/6	Conformal maps of the disk		Suggested problems, not due
12/11	Review
12/15	Final exam (10:30-12:30)