**University
of Toronto at Mississauga
Fall 2019**

**Course
Outline
MAT 334H5F, Complex Variables
**

Michael Yampolsky, Room DH-3022Instructor: *e-mail:*yampol(at)math(dot)utoronto(dot)ca*Lectures:*Tue, 1:00 PM - 2:00 PM MN 2190

Thu, 3:00 PM - 5:00 PM MN 2190*Office hours:*Tue/Thu 11-12*TAs:*- Ahmed Ellithy, ahmed(dot)ellithy(at)mail(dot)utoronto(dot)ca,
*office hours:*Friday 1-3, DH2034 - Christopher van Bommel, c(dot)vanbommel(at)utoronto(dot)ca,
*office hours:*Monday 3-4, CC2110**note room change**.

- Ahmed Ellithy, ahmed(dot)ellithy(at)mail(dot)utoronto(dot)ca,
*Textbook:***Complex Variables, 2nd edition**, by Stephen D. Fisher, Dover Pub.

**Marking scheme:**

- In-class quizzes: September 19, October 24, November 21.
**15%** - In-class term tests: October 1, November 5.
**40%** - Final exam.
**45%**

**IMPORTANT: Please note that there will be no make-up
quizzes or tests, an undocumented absence will result in zero credit.
**

- Click here for the solutions to Quiz 1.
- Click here for the solutions to Term test 1.
- Click here for the solutions to Quiz 2.
- Click here for the solutions to Term test 2.
- Click here for the solutions to Quiz 3.

** Note on the homework:** homework assignments will not be marked. You are encouraged to discuss the homework problems in tutorials and during office hours. ** Quizzes and midterms will be based on the homework problems.**

- Section 1.1, page 9: 1, 3-6, 8, 9, 11-13, 16, 17, 18
- Section 1.1.1, page 12: 2, 3, 9, 10
- Section 1.2, page 20: 1-8, 11-14, 18, 21, 22, 23-26, 32
- Section 1.3, page 28: 1-8, 10, 11, 13, 14, 15, 25-27, 29. Show that a set is closed if and only if its complement is open.
- Section 1.4, page 41: 1, 2, 3, 5, 7, 9, 10, 13, 21, 22, 26, 29, 30
- Section 1.5, page 53: 4, 5, 6, 8, 9, 10, 17, 20, 23, 24, 28
- Section 1.6, page 73: 1-7
- Section 2.1, page 84: 1a), 1c), 4, 5, 15, 17, 18, 20a), 23
- Section 2.2, page 103, 3-6, 7-10, 14, 15, 16, 19, 22
- Section 2.3, page 116, 1-6, 9, 11, 14, 15, 16, 17, 18a)
- Section 2.4, page 133, 1-6, 9, 10, 12, 17, 20, 21
- Section 2.5, page 150, 1-6, 7-9, 14, 16, 17, 19, 22, 23a)b), 24
- Section 2.6, page 167, 1-6, 9
- Section 3.1, page 179, 1-3, 9, 11, 12, 13, 16, 17, 20, 21, 22
- Section 3.2, page 194, 5, 6, 7, 8, 9, 10, 11, 17
- Section 3.3, page 204, 4, 5, 6, 7, 8, 11, 15
- Section 3.4, page 218, 1, 2, 3, 7b)c), 8, 10
- Section 3.5, page 241, 1-5, 9
- Section 4.1, page 252, 1, 2, 3, 10

**Plagiarism and academic honesty:** Students are expected to
adhere to the academic regulations of the University as outlined in the
"Code of Behaviour on Academic Matters" which can be found in the UTM
Calendar.

The
work you submit must be your own. Plagiarism is a form of academic fraud, and
the University treats it very seriously. See the guide How
Not to Plagiarize.