MATH 116
Winter Quarter 2017

Instructor Office E-mail Phone Office Hours
Steve Kerckhoff 380-383G spk"at"math.stanford.edu 723-4665 M 2:30-4:00pm, T 1:00-2:30pm

Course Assistant Office E-mail Office Hours
Adva Wolf 380-381L advaw"at"stanford.edu M 4:00-6:00pm

INTRODUCTION

The aim of Math 116 is to provide a thorough introduction to complex analysis. This will be done in a rigorous fashion, with proofs included as a central part of each topic. Students interested in a more computational approach to the subject may wish to consider Math 106.

TEXT and SYLLABUS

"Complex Analysis" by Elias M. Stein and Rami Shakarchi, Princeton University Press, 2003. (Available at the bookstore).

Holomorphic functions, Cauchy integral formula, Laurent series, calculus of residues, analytic continuation, conformal mappings, Riemann mapping theorem, Schwarz-Christoffel maps.
This material is covered in Chapters 1, 2, 3, 5, and 8 of the text.

For a detailed syllabus, click here: Syllabus

ANNOUNCEMENTS

January 12: Because of the Monday holiday next week, Adva Wolf, course CA, will have an office hour tomorrow, Friday, January 13 from 1:00-2:00 pm. This for this week only.

January 13: Problem 6 on the first homework set (Exercise 13 on page 28) should assume that the region is connected.

January 23: Some people have reported a typo in problem 12b, page 67 (last problem on the second assignment). While my copy of the text has the correct formula, you should check the updated homework assignment for clarification, in case your text also has the error.

February 8: The midterm will be held on the evening of Wednesday, February 15, from 7:30-9:30 pm in Room 200-203. It will cover the material in the text from Chapters 1 and 2 (excluding section 5.5 in Chapter 2) and from Chapter 3, through section 4. You are also responsible for the material from the homework and lectures.

February 9: Here are some practice problems for the midterm (from a midterm in a previous year). Note that no books, notes, or electronic devices will be allowed during this exam.

February 13: Here are some solutions to the practice problems for the midterm. Please make sure to work on the problems on your own before looking at the solutions.

February 24: Here are some solutions to the problems on the midterm.

February 25: It appears that some of the printings of the text have a typo in Problem 7 a) in Chapter 5 (page 155). There should be the hypothesis that a_n not equal to -1 for any n. This seems to be missing in some copies.

February 25: For next week only, Adva Wolf will have her office hours on Tuesday, February 28th, 3-5 pm. She will go back to her regular hours after that.

March 14: Here are some practice problems for the final. Note that no books, notes, or electronic devices will be allowed during this exam.

March 18: The final exam will be held on the morning of Friday, March 24, from 8:30-11:30 am in Room 380-380X. It will cover material from the entire course, but there will be a focus on what was done since the midterm. Refer to the midterm information for what occurred before the midterm. Since the midterm we have covered the material in the text from Chapter 3, sections 5 and 6, Chapter 5, sections 3 and 4, and all of Chapter 8. You are also responsible for the material from the homework and lectures.

March 21: Here are some solutions to the practice problems for the final exam. Please make sure to work on the problems on your own before looking at the solutions.

HOMEWORK ASSIGNMENTS

Homework will be due in class each Wednesday, the first assignment being due on Wednesday, January 18th. Late work will not be accepted. The homework assignments will be posted approximately 1 week before they are due.

Click here for Homework assignments.

HOMEWORK SOLUTIONS

Homework Solutions should appear here a few days after the assignment is due.
They will be accessible from the Homework Assignments page.

TEST DATES

There will be a Midterm and a Final.

Midterm: Wednesday, February 15, 7:30-9:30 p.m., room 200-203

Final: Friday, March 24, 8:30- 11:30 a.m., room 380-380X
The time and date of the Final Exam is fixed by the Registrar and cannot be changed.

GRADING

25% Homework
30% Midterm
45% Final