MAT389F Complex analysis


Professor: Eckhard Meinrenken, mein at math.toronto.edu
Office hours (SS4053): I will be available on Wednesday and Thursday before the exam.
Teaching assistant: Jackson Chan, jchan at math.toronto.edu

For general information, see www.engineering.utoronto.ca/registrar.


Lectures: M9-10 GB120, W11-12 BA1170, R9-10 GB221
Tutorials: W12-13 GB404, W13-14 GB404


Quizzes and exams: There will be four quizzes, as well as a midterm and final exam.
The quizzes will be held during the tutorials, the midterm IN CLASS .
Quiz #1: Sept 24
Quiz #2: Oct 8
Midterm Exam: Oct 22.
Quiz #3: Nov 5
Quiz #4: Nov 19. Material covered: Sections 6.1-6.7
Final Exam: Dec 12, 14:00 (according to www.engineering.utoronto.ca/registrar). For some information on the final exam, click here.

Marking scheme: Quizzes 30%, Midterm 30%, Final 40%

Textbook:
David A. Wunsch: Complex variables with applications (2nd edition), Addison-Wesley.

Course outline:
The course will closely follow the textbook:
1. Complex numbers, (Sections 1.1-1.5 + fundamental theorem of algebra): 9/4-9/10
2. Complex functions (Sections 2.1-2.5): 9/11-9/18
3. Basic transcendental functions (Sections 3.1-3.7) : 9/22-10/1
4. Integration in complex plane (Sections 4.1-4.6): 10/2-10/20
5. Infinite series (Sections 5.1-5.6): 10/23-11/5
6. Residues (Sections 6.1-6.7) : 11/5-11/17
7. Laplace transforms: (Sections 7.1-7.4, incl. Rouche theorem) 11/19-11/27
8. Conformal mappings: (Sections 8.2-8.3) 12/1
9. Review: 12/3


Suggested problems:

Click here for a list of problems (this will be updated from time to time). You are encouraged to work on all of these problems. Modified versions are likely to appear on quizzes and exams for this course.