Textbook abbreviations CN = Conway's Functions of one complex variable AF = Ahlfors' Complex Analysis

Date Topics Sections Event Week 1 9-20       9-22       09-24 Complex numbers I CN 1.1-1.4 Week 2 09-27 Complex numbers II CN 1.5-1.6 09-29 Analytic functions I CN 3.2   10-01 Topology of complex plane I CN 2.1 Read Pages from Alhfors on topology part Week 3 10-04 Connectedness CN 2.2 10-06 Completeness CN 2.3 10-08 Compactness CN 2.4 Week 4 10-11 Continuous functions CN 2.5   10-13 Convergence and series CN 2.6 Reading CN 3.1 10-15 Power series CN 3.2 Week 5 10-18 Conformal mapping I CN 3.3   10-20 Conformal mapping II CN 3.3   10-22 Conformal mapping III CN 3.3 Read Pages from Alhfors on Conformal mappings Week 6 10-25 Complex integral I CN 4.1   10-27 Complex integral II CN 4.1-4.2   10-29 Complex integral III CN 4.2 Read Pages from Alhfors on Integral Week 7 11-01 Properties of analytical functions CN 4.3 11-03 Winding number CN 4.4   11-05 Review and catch-up Review and catch-up Week 8 11-08 MIDTERM MIDTERM MIDTERM 11-10 Cauchy's theorem I CN 4.5   11-12 Cauchy's theorem II CN 4.5-4.6   Week 9 11-15 Cauchy's theorem III CN 4.6   11-17 Local Properties of Analytic Functions CN 4.7-4.8   11-19 Singularities I CN 5.1 Week 10 11-22 Singularities II CN 5.1   11-24 Residue I CN 5.2   11-26 Happy Holiday Happy Holiday   Week 11 11-29 Residue II CN 5.2   12-01 Argument principle I CN 5.3   12-03 Argument principle II CN. 5.3

Date Topics Sections Event Week 1 01-07 Singularity CN 5.1   01-09 Residue I CN 5.2   01-11 Residue II CN 5.3   Week 2 01-14 Residue III CN 5.2   01-16 Argument Principle 01-118 Maximum principle   Week 3 01-21 Holiday     01-23 Schwarz Lemma CN 6.2 01-25 Convexity and Three Circle Theorem CN 6.3   Week 4 01-28 Compactness I CN 7.1   01-30 Compactness II CN 7.2   02-01 Compactness III CN 7.3   Week 5 02-04 Riemann Mapping I CN 7.4   02-06 Riemann Mapping II CN 7.4   02-08 Midterm Exam     Week 6 02-11 Product I CN 7.5   02-13 Product II CN 7.5   02-15 Product III CN 7.6   Week 7 02-18 Product IV CN 7.7   02-20 Entire function I CN 11.2   02-21 Entire function II CN 11.2   Week 8 02-24 Entire function III CN 11.3   02-26 Runge's theorem I CN 8.1   02-28 Runge's theorem II CN 8.2