Week | Reading | Homework | Solutions |
13: Nov 28 - 30 | Elliptic Functions and Modular Forms Serre, Ch. VII; Ahlfors, Ch. 7; Course Notes 5. |
Final HW | SOLN |
12: Nov 21 | Elliptic functions Ahlfors, Ch. 7; Stein and Shakarchi, Ch. 9; Course Notes 5. |
Chapter 5: 6, 7, 8, 11, 13 | SOLN |
11: Nov 14-16 | Schwarz-Christoffel formula; Picard theorems Elliptic Functions Nehari V.6-7, Course Notes 4, 5 |
Chapter 4: 23, 25, 26, 27 Chapter 5: 2, 3, 4, 5. | SOLN |
10: Nov 7-9 | D,N,S; Schwarz-Christoffel formula Nehari V.6-7. Course Notes 4. |
Chapter 4: 2,3,7,14,15,17,19,22 | SOLN |
9: Oct 31-Nov 2 | Conformal maps Remmert 8; Nehari V.1-4,8; Course Notes 4 |
Chapter 3: 32 Chapter 4: 1,5,6,9,12,13,20 | SOLN |
8: Oct 24-26 | Entire Functions Remmert, Ch. 3; Titchmarsh, Ch. 8. Course Notes 3 | Chapter 3: 8,10,11,12,21,23,24,25 | SOLN |
7: Oct 17-19 | Entire Functions Remmert, Ch. 3; Titchmarsh, Ch. 8. Course Notes 3 | Chapter 1: 2(i), 42 Chapter 2: 19,22 Chapter 3: 1,2,13 | SOLN |
6: Oct 10-12 | Geometry. Course Notes 2 | Chapter 2: 12, 13, 14, 15, 16, 17, 18 | SOLN |
5: Oct 3-5 | Geometry of C, S^2 and H Needham 3, 6; Course Notes 2 | Chapter 2: 4,5,6,7,8,9,10,11 | SOLN |
4: Sep 26-28 | Harmonic functions; Geometry Needham 3, 6; Course Notes 2 | Chapter 1: 30,31,33,34,35 Chapter 2: 1,3 | SOLN |
3: Sep 19-21 | Cauchy's Formula and Analytic Maps Nehari II-IV, Ahlfors 1-4, Course Notes 1 | Chapter 1: 20,21,22,25,26,27,28,29 | SOLN |
2: Sep 12-14 | Cauchy's Formula and Analytic Maps Nehari II-IV, Ahlfors 1-4, Course Notes 1 | Chapter 1: 9,14,15,16,17,18,19 | SOLN |
1: Sep 5-7 | Cauchy's Formula and Analytic Maps Nehari II-IV, Ahlfors 1-4, Course Notes 1 | Chapter 1: 6,7,8,10,11,12,13 | SOLN |
0: 31 Aug | Introduction | Chapter 0: 1,2,3,4,5,6 | SOLN |