Complex Analysis

Readings and Homework


Math 213a - Fall 2017

Homework is due in class on Tuesday. Late homework is not accepted. Do not submit homework by email.
Homework problem numbers refer to the course notes.
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


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