David Dumas
University of Illinois at Chicago
Spring 2010
The image of the streets of Chicago under a Riemann mapping from the complement of Lake Michigan to the unit disk. The unit circle represents the lake shore, with Navy Pier at z = 1. |
CRN | 19436 |
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Lectures | MWF 12:00 - 12:50pm in SEO 636 |
Main Text |
Complex Analysis by Lars Ahlfors, 3ed. ISBN-13: 978-0070006577 |
Supplementary Texts |
Gamelin Bak & Newman |
Instructor | David Dumas (ddumas@math.uic.edu) |
Office hours |
Mondays and Wednesdays 2-3pm in SEO 503 Extra office hours: 1-3pm on May 2 and May 3 |
Homework Policies | Homework problems will be assigned on Mondays and Wednesdays (see assignments). |
Homework is due by 4pm on the first lecture day of each week (usually Monday) and can be turned in during lecture or directly to the grader's mailbox (Paul Reschke) in the mailroom on the 3^{rd} floor of SEO. | |
The list of challenge problems (see course materials) will be updated on a regular basis; you must complete four of these problems during the semester, with at least two of them submitted before the midterm exam. | |
Late homework will not be accepted. | |
You can discuss the homework with other students, but you must write (and understand!) your own solutions. | |
The homework problems depend on material from both the assigned reading and the lectures. Do not leave the problem sets or reading to the last minute! |
Midterm Exam | Wed, Mar 3 | In class |
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Final Exam | Tues, May 4 | 8:00-10:00am in SEO 427 |
Homework | 30% |
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Midterm Exam | 30% |
Final Exam | 40% |
When computing your homework grade, the lowest weekly homework score will be dropped, and the remaining scores will be averaged with your challenge problem scores. (That is, each challenge problem is worth as much as a weekly homework assignment!)
Date | Reading |
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Apr 14 | Sections 6.1, 6.2 |
Mar 29 | Sections 5.1, 5.2 and 5.5 |
Feb 10 | Chapter 4 |
Jan 20 | Chapter 3 |
Jan 13 | Chapter 2 |
Jan 11 | Chapter 1 |
Hwk # | Due | Problems |
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14 | Mon, Apr 26 |
Section 5.5.5(p227): 3 Problems from Lecture 39 Problems from Lecture 40 |
13 | Mon, Apr 19 |
Section 5.2.2(p193): 1,2 Section 5.2.3(p198): 5 Section 5.5.5(p227): 1,2 |
12 | Mon, Apr 12 |
Section 5.1.1(p178): 2^{*} Section 5.1.2(p184): 1,5 Section 5.1.3(p186): 1,4 Section 5.2.1(p190): 1 * Typographical error in the text: The series should be ζ(z) = Σ n^{-z}. |
11 | Mon, Apr 5 |
Section 4.6.2(p166): 1,2 Section 4.6.4(p171): 4 Problems from Lecture 31 |
10 | Mon, Mar 29 |
Section 4.5.3(p161): 1,3a,3b,3c Problems from Lecture 27 Problems from Lecture 28 |
9 | Mon, Mar 15 |
Section 4.3.3(p133): 1,3,4 Section 4.3.4(p136): 1,2 |
8 | Mon, Mar 8 | Section 4.3.2(p129): 4,5,6 |
7 | Mon, Mar 1 |
Section 4.2.2(p120): 1,2,3 Section 4.2.3(p123): 1,3,5 |
6 | Mon, Feb 22 |
Section 3.4.2(p96): 2^{*} Section 4.1.3(p108): 1,2,3,4,5,6 * Use a Möbius transformation to simplify the problem. |
5 | Mon, Feb 15 |
Section 3.3.1(p78): 2,4 Section 3.3.2(p80): 1,4, 2,3 Section 3.3.5(p88): 6 Problems from Lecture 13 |
4 | Mon, Feb 8 |
Section 2.3.4(p47): 5,6,7 Section 3.2.2(p72): 1,2 Problems from Lecture 9 |
3 | Mon, Feb 1 |
Section 2.2.3(p37): 2,3 Section 2.2.4(p41): 3,8,9 Section 3.1.2(p53): 1 Section 3.1.4(p63): 5^{*} * Note: See the definition of totally bounded on p60. |
2 | Mon, Jan 25 |
Section 2.1.2(p28): 3 Section 2.1.4(p32): 4,6 Problems from Lecture 5 |
1 | Wed, Jan 20 |
Section 1.1.4(p9): 3 Section 1.1.5(p11): 1 Section 1.2.1(p15): 2 Section 1.2.3(p17): 5 Section 2.1.2(p28): 2,4 Section 2.1.4(p32): 2,3 |