Math 185. Complex Analysis
Department of Mathematics
University of California, Berkeley
Fall 2007
This is an introductory course on complex analysis.
The official prerequisite for taking this course is Math
104: Introduction to Analysis.
Announcements
- 12/14/07: Extra office hours 12–2 on Mon, Dec 17.
- 12/14/07: Solutions to Problem
Set 10 posted.
- 12/11/07: Solutions to Problem
Sets 8 and 9 posted.
- 12/11/07: Final exam will take place in 9 Evans Hall,
8–11, Tue, Dec 18.
- 12/10/07: Extra office hours 12–2 on Wed, Dec 12.
- 12/06/07: Extra office hours 12–2 on Fri, Dec 07.
- 12/06/07: Problem Set 10 posted.
- 11/29/07: Problem Set 9 posted.
- 11/17/07: Extended office hours 12–4 on Mon, Nov 19.
- 11/15/07: Problem Set 8 posted.
- 11/14/07: Solutions to Problem
Set 7 posted.
- 11/08/07: Problem Set 7 posted.
- 11/05/07: Extra office hours 12–1 on Tue, Nov 06.
- 11/01/07: Solutions to Problem
Set 6 posted.
- 10/27/07: Solutions to Problem
Set 5 posted.
- 10/25/07: Problem Set 6 posted.
- 10/24/07: Midterm II will take place in 170 Barrows Hall,
4–5, Wed, Nov 07.
- 10/21/07: Solutions to Problem
Set 4 posted.
- 10/18/07: Problem Set 5 posted.
- 10/17/07: Extra office hours 12–1 on Fri, Oct 19.
- 10/17/07: Deadline for Problem Set 4 postpone till Fri, Oct 19.
- 10/13/07: Solutions to Problem
Set 3 posted.
- 10/11/07: Problem Set 4 posted.
- 09/30/07: Problem Set 3 posted.
- 09/29/07: Read Timothy Gowers's blog for entry
on Cauchy's theorem. Remember to check out Terence Tao's
comments.
- 09/24/07: Wed's office hours brought forward to
11–1, Tue, Sep 25. Office hours will go back to normal after
midterm.
- 09/24/07: Solutions to Problem
Set 2 posted.
- 09/19/07: Midterm I will take place in 210 Wheeler Hall,
4–5, Wed, Sep 26.
- 09/19/07: Problem 5(e) in Problem Set 2 corrected.
- 09/19/07: Solutions to Problem
Set 1 posted.
- 09/17/07: Problem Set 2 posted.
- 09/08/07: Problem Set 1 has been updated with the two additional
questions.
- 09/07/07: Problem Set 1 posted. Please check back later for an updated version with
questions 6 & 7.
- 09/05/07: Problem Set 1 will be posted on Friday (Sep 7), due in class
the following Friday (Sep 14); not Wednesdays as announced earlier.
- 08/27/07: Check this page regularly for announcements.
Lectures
Location: Evans Hall,
Room 75
Times: 4:00 AM–5:00 PM on Mon/Wed/Fri
Course staff
Instructor: Lek-Heng
Lim
Evans Hall, Room 873
lekheng(at)math.berkeley.edu
(510) 642-8576
Office hours 12:00–2:00 PM every Monday and
2:00–4:00 PM every Wednesday
Graduate Student Instructor: David
Penneys
Evans Hall, Room 891
dpenneys(at)math.berkeley.edu
Office hours: 8:00–10:00 AM, 1:00–4:00 PM every Monday and
12:30–3:00 PM, 5:00–7:30 PM every Tuesday
Syllabus
- Analytic functions of a complex variable
- Cauchy's integral theorem
- Power series
- Laurent series
- Singularities of analytic functions
- Residue theorem with application to definite integrals
- Additional topics
Homework will be assigned once a week and will be due the following
week (except possibly in the weeks when there is a midterm).
Collaborations are permitted but you will need to write up your own
solutions.
- Problem Set 10: PDF (posted: Dec 06;
due: Dec 10); Solutions: PDF
(posted: Dec 14)
- Problem Set 9: PDF (posted: Nov 29; due:
Dec 6); Solutions: PDF
(posted: Dec 11)
- Problem Set 8: PDF (posted: Nov 15; due:
Nov 21); Solutions: PDF
(posted: Dec 11)
- Problem Set 7: PDF (posted: Nov 08; due:
Nov 14); Solutions: PDF
(posted: Nov 14)
- Problem Set 6: PDF (posted: Oct
24; due: Oct 31); Solutions: PDF
(posted: Nov 01)
- Problem Set 5: PDF (posted: Oct
18; due: Oct 24); Solutions: PDF
(posted: Oct 27)
- Problem Set 4: PDF (posted: Oct
11; due: Oct 19); Solutions: PDF
(posted: Oct 21)
- Problem Set 3: PDF (posted: Sep
30; due: Oct 10); Solutions: PDF
(posted: Oct 13)
- Problem Set 2: PDF (posted: Sep
17; due: Sep 24); Solutions: PDF
(posted: Sep 24)
- Problem Set 1: PDF (posted: Sep
07; due: Sep 14); Solutions: PDF
(posted: Sep 19)
Bug report on the problem sets or the solutions:
lekheng(at)math.berkeley.edu
Supplementary readings
Grades
Midterm I grade distribution: median = 28,
mean = 27, max = 35, min = 15, stdev = 5.7, max possible marks = 40.
Grade composition: 40% Homework, 15% Midterm I, 15% Midterm II,
30% Final
Textbooks
The second book is optional. As a whole, it is more advanced than the
first book but Part I of the book covers the same basic materials.
- Joseph Bak and Donald Newman, Complex Analysis, 2nd Ed.,
Springer, 1997.
- Serge Lang, Complex Analysis, 4th Ed., Springer,
1999.