Readings are assigned from:

Stein and Shakarchi: Complex Analysis

Assignments will be posted one week in advance of their due date, so make sure you press Ctrl-R to reload!

	WEEK LECTURE 1 LECTURE 2 TOPICS READING HOMEWORK Week 1 9/01, 9/04 Introduction Complex Numbers Holomorphic Functions Cauchy-Riemann Equations Chap. 1: Sec 2.1 -- 2.2 Pset1 -- Chap. 1, #1-10 due 9/11 Week 2 NO 9/08, 9/11 NO CLASS MON SCHEDULE Power Series Hadamard's Formula Chap. 1: Sec 2.3 -- 2.4 Pset 2 -- Chap. 1, #11-19 due 9/18 Week 3 NO 9/15, 9/18 NO CLASS HOLIDAY Problem Session this Week: Thurs 9/17, 3:20-4:40 pm, Hill 525 Integration on Curves Goursat's Theorem Chap. 1: Sec 3, Chap. 2: Sec 2 -- 3 Pset 3 -- Chap. 1, #20-26 due 9/22 Week 4 9/22, 9/25 QUIZ Cauchy Integrals Liouville's Theorem Fundamental Theorem of Algebra Chap. 2: Sec 1 -- 4 Pset4 -- Chap. 2 Exercises #1-8, Problems #1a, 2 due 9/29 Week 5 9/29, 10/02 REVIEW Analytic Continuation Moreira's Theorem Chap. 2: Sec 4 -- 5 Pset 5 -- Chap. 2 Exercises #9, 11-13 Problem #3 due 10/02 Week 6 10/06, 10/09 MIDTERM 1 Residue Calculus Chap. 3: Sec 1 -- 2 Pset 6 -- Chap. 3 Exercises #1-6 due 10/13 Week 7 10/13, 10/16 Argument Principle Open mapping theorem Maximum Modulus Chap. 3: Sec 3 -- 4 Pset 7 -- Chap. 3 Exercises #7,8,12-18 Problems #2,3 due 10/20 Week 8 10/20, 10/23 Homotopy Complex Logarithm Chap. 3: Sec 5 -- 7 Pset 8 -- Chap. 3 Exercises #9-11, 19- 22 Problems #4,5 #2 due 10/27 Week 9 10/27, 10/30 QUIZ The Fourier Transform Paley-Wiener Phragmen-Lindelof Chap. 4: Sec 1-- 3 Pset9 -- Chap. 4: Exercises #1, 3, 4, 6, 7, 9 Problems #2, 3 due 11/03 Week 10 11/03, 11/06 REVIEW Paley-Weiner Phragmen-Lindelof Chap. 4: Sec 3 Pset 10 -- Chap. 4: Exercises #2, 5, 8, 12 due 11/06 Week 11 11/10, 11/13 MIDTERM 2 Conformal maps Chap 8: Sec 1 Read Chap 8 Week 12 11/17, 11/20 Mobius transformations Schwarz lemma Automorphisms of the Disk and Half-Plane Dirichlet problem Chap 8: Sec 1 -- 2 Pset 11 -- Chap 8: Exercises #1-5, 8, 10, 11 due 11/24 Week 13 11/24, 11/25 Wed 11/25 Class Riemann Mapping Theorem Schwarz-Christoffel Chap 8: Sec 3 -- 4 Pset 12 -- Chap 8: Exercises #12-18 Problems #3(a-d), 4 due 12/01 Week 14 12/01, 12/04 Riemann Zeta Function Prime Number Theorem Zeta Zeroes Chap 6, 7 Chap 6: Exercises 10(a), 15, 16 Chap 7: Exercises 2, 3, 9(a), 10(a), 11(i -> ii) due 12/08 Week 15 12/08 REVIEW, hand out FINAL EXAM Due 12/15