640:403 - Introductory Theory of Functions of a Complex Variable

Section 02, Spring 2018

Anders Buch (asbuch ⊗ math • rutgers • edu)


Resources:

Web sites:
Course web site http://sites.math.rutgers.edu/~asbuch/complex_s18/
Homework and exam scores

Text:
Stephen D. Fisher, Complex Variables (2nd edition)

Syllabus

Lectures:
Tuesday and Thursday 1:40 - 3:00 PM in SEC-212 (Busch)

Office hours:
Tuesday 3-4 PM and Wednesday 11-12 noon in HILL-234 (Busch). Plus Thursday after class until everyone leaves.

David Bau's Complex Function Graph Viewer (Short explanation)
Thanks to Scott Harman for showing me this!

Grading:

Midterm 1, Tuesday February 20 in class, 22%
Midterm 2, Tuesday April 3 in class, 22%
Final Exam, May 4, 8-11 AM, 44%
Weekly Homework, 12% total.

Midterm 1:

Tuesday February 20 in class.
Closed-book exam, no calculators, no formula sheet.
Covered sections: 1.1-1.6, 2.1-2.3.
No questions about Cauchy's Formula; however, the rest of section 2.3 is covered, including Cauchy's Theorem.
You may be asked to do calculations, state theorems and definitions, prove statements, and anything else that is relevant for this subject.

Homework Policy:

(1) Late homework is not accepted.

(2) It is fine to discuss the problems with others, but write-ups must be individual. If you have received help for solving a problem, then cite your source(s).

(3) Regard a homework problem as an essay with rigorous mathematical content. Explain what you do without making your explanation longer than necessary. Write neatly. It is your responsibility that whoever reads your work will understand and enjoy it!

(4) STAPLE your work!!!

Assigned homework sets will show up on this course web site.

Assigned homework:

Homework 0:
Bookmark this page and buy a STAPLER!
Homework 1: Due Thursday January 25 in class.
1.1: 1, 3, 5, 9, 11, 13, 19
1.2: 1, 3, 7, 9, 11, 21, 23, 29
Homework 2: Due Thursday February 1 in class.
1.3: 1, 3, 5, 7, 9, 13, 25
1.4: 1, 3, 5, 15, 19
Homework 3: Due Thursday February 8 in class.
1.4: 31, 35, 39
1.5: 1, 3, 7, 9, 13, 17, 21
1.6: 1, 3, 5
Homework 4: Due Thursday February 15 in class.
1.6: 7, 9, 13, 16
2.1: 2, 5, 9, 15, 23
Homework 5: Due Thursday February 22 in class.
2.2: 1, 3, 5, 9, 15, 19
2.3: 1, 3, 9, 11, 14, 15