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Math 416 Spring, 2023
Krantz
SYLLABUS AND COURSE INFORMATION
COMPLEX VARIABLES
Instructor: Steven G. Krantz
Textbook: Complex Variables: A Physical Approach with Applications, 2nd Edition, by Steven G. Krantz, Chapman and Hall/CRC Press, Boca Raton, FL, 2019.
Office: 103, Cupples I
Office Hour: MWF 2:00pm-3:00pm.
Phone: (314) 935-6712
e-mail: sk@math.wustl.edu
Personal Web Address: http://www.math.wustl.edu/~sk
Class Web Page: The class Web page is
http://www.math.wustl.edu/~sk/math416.html
You can also just go to my personal Web page (above) and click on the button
for Math 416.
Dept. Office: 100, Cupples I
Dept. Phone: (314) 935-6760
Course Description: The purpose of this course is to learn about the theory of functions of a complex variable and the applications of this theory.
The course will follow the text rather closely. But it is strongly advised to attend class, as the instructor will offer many ideas and insights not to be found in the book. It is also important to keep up with the homework.
Work Required in the Course: There will be weekly homework assignments.
The relative weights of the course components are as follows:
Homework: 20%
Midterm I: 40%
Midterm II: 40%
TOTAL: 100%
If you are taking the course Pass/Fail, then the cutoff for a pass is C -
or 65 percent.
FIRST HOMEWORK ASSIGNMENT. Due Monday, January 30 in class.
page 7, #1, 3, 4, 5, 7
page 15, #1, 2, 4, 6, 8
pages 20-21, #1, 2, 4, 6
SECOND HOMEWORK ASSIGNMENT. Due Wednesday, February 8 in class.
page 26, #1, 4, 6
pages 34-36, #1bd, 2bc, 3b, 4c, 8, 10
pages 40-41, #1ac, 2bd, 3bd, 4, 8
pages 43-44, #1, 5, 6
THIRD HOMEWORK ASSIGNMENT. Due Friday, February 17 in class.
pages 52-53, #1ac, 2, 3, 7
pages 67-69, #1, 2, 6, 11, 13
pages 73-74, #1, 6, 8
FOURTH HOMEWORK ASSIGNMENT. Due Monday, February 27 in class.
pages 86-87, #1, 3, 9, 11
pages 93-94, #1, 3, 6, 7, 9
pages 99-100, #1ac, 3, 4
The first midterm is on March 3 in class. It covers Chapter 1-5 in the book.
This is a hard copy exam---on paper. Bring a pencil or a pen.
You can bring a 3" x 5" note card. But NO CALCULATORS.
FIFTH HOMEWORK ASSIGNMENT. Due Wednesday, March 22 in class.
page 107, #2, 3, 5, 7
pages 112-114, #1, 3, 9abd, 10
pages 119-120, #1, 4acf
SIXTH HOMEWORK ASSIGNMENT. Due Monday, April 3 in class.
page 129-133, #1, 3, 5, 11afi, 13
pages 148-150, #1, 2, 11, 15
pages 157-159, #1, 3, 6
The second midterm exam will be on Wednesday, April 26 in class. You
can bring a 3" x 5" notecard. The exam will cover the rest of the main text.
It will NOT cover the material in Complex Analysis: The Geometric Viewpoint.
No calculators or computers. There will be no final exam in this class.
SEVENTH HOMEWORK ASSIGNMENT. Due Friday, April 21 in class.
page 162-164, #1, 2, 3, 5
pages 167-168, #1, 2, 4, 5
pages 171-172, #1, 2, 3, 5abcde