Math 113, Complex Analysis

Fall 2002

Instructor: Frank Calegari
Time and place: TuTh 11:30 A.M. - 1:00 P.M, Room 112 Science Center.
E-mail: fcale@math.harvard.edu.
Office: Science Center 432
Office Phone: 495-8796
Office Hours: My fall 2002 office hours are:
- Wed, 12:00-1:00, Thurs, 4:00-5:00.
and by appointment.
Prerequisites: Math 23a, 23b, 25a, 25b, or 101. Students who received an A in Math 21a, 21b may also consider taking this course, but must understand proofs and must obtain permission of the instructor.
Textbook: "Complex Variables'' by Murray Spiegel. Only $11.17 from Amazon.
Course Blurb: Analytic functions of one complex variable: power series expansions, contour integrals, Cauchy's theorem, Laurent series and the residue theorem. Some applications to real analysis, including the evaluation of definite integrals. Introduction to some special functions.

Final Exam:

Will be held on Tuesday, January 21, 9:15 in Server 202. Here is the Practice Exam.

Homework Assignments:

Homework Assignment #1 (pdf) (ps) Solution Set #1 (pdf) (ps)

Homework Assignment #2 (pdf) (ps) Solution Set #2 (pdf) (ps)

Homework Assignment #3 (pdf) (ps) Solution Set #3 (pdf) (ps)

Homework Assignment #4 (pdf) (ps) Solution Set #4 (pdf) (ps)

Homework Assignment #5 (pdf) (ps) Solution Set #5 (pdf) (ps)

Practice Midterm (pdf) (ps) Solutions (pdf) (ps)

Midterm (pdf) (ps) Solutions (pdf) (ps)

Homework Assignment #6 (pdf) (ps) Solution Set #6 (pdf) (ps)

Homework Assignment #7 (pdf) (ps) Solution Set #7 (pdf) (ps)

Homework Assignment #8 (pdf) (ps) Solution Set #8 (pdf) (ps)

Homework Assignment #10 (pdf) (ps) Solution Set #10 (pdf) (ps)

Exams:

October 29th

Homework:

Homework assignments will be handed out on (most) Thursdays, and will be due the following week on Thursday. There will be a course mailbox outside the mathematics department office at 325 Science Center. You may drop off homework in this mailbox any time before 5PM on Thursday. Late homework will not be accepted.

Grading Policy:

Homework will account for 30% of your course grade, the midterm 20%, and the final exam 50%.

Collaboration:

On the homework sets, collaboration is not only allowed but encouraged. However, you must write up and understand your own individual homework solutions, and you may not share written solutions. If you learn how to solve a problem by talking to a classmate or looking it up in a book, you should cite the source in your homework write-up, just as you would reference your sources in a literature or history class. Return to Frank's home page.