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Math 416                 Fall, 2019

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: Tu Th 1:00pm-2:30pm.

Phone: (314) 935-6712

e-mail:

Class Web Page: The class Web page is

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: 25%

Midterm I: 25%

Midterm II: 25%

Midterm III: 25%

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 Thursday, September 5 in class.

page 7, #1, 3, 4, 5, 7

page 15, #1, 2, 4, 6, 8

pages 20-21, #1, 2, 4, 6

page 26, #1, 4, 6

Solutions to Homework 1

SECOND HOMEWORK ASSIGNMENT. Due Tuesday, September 17 in class.

pages 34-36, #1bd, 2bc, 3b, 4c, 8, 10

pages 40-41, #1ac, 2bd, 3bd, 4, 8

pages 43-44, #1, 5, 6

pages 52-53, #1ac, 2, 3, 7

Solutions to Midterm 1

THIRD HOMEWORK ASSIGNMENT. Due Thursday, September 26 in class.

pages 67-69, #1, 2, 6, 11, 13

pages 73-74, #1, 6, 8

pages 86-7, #1, 3, 9, 11

pages 93-94, 1, 3, 6, 7, 9

The first Midterm Exam will be Thursday, October 8 in class. It will cover Chapters 1 - 5 of the textbook. The exam has 7 short-answer questions. It is worth 100 points.

Solutions to Homework 3

< FOURTH HOMEWORK ASSIGNMENT. Due Thursday, October 15, 2019.

pp. 99-100: #1ace, 3, 4

p. 107: #2, 3, 5, 7

pp. 112-114: 1, 3, 9abd, 10

pp. 119-120: 1, 4acf

Solutions to Homework 4

FIFTH HOMEWORK ASSIGNMENT. Due Tuesday, October 29, 2019.

pp. 129-133: #1,3, 5, 11afi, 13

p. 148-150: #1, 2, 11, 15

Solutions to Homework 5

SIXTH HOMEWORK ASSIGNMENT. Due Tuesday, November 12, 2019.

pp. 157-159: #1,3, 6

pp. 162-164, #1, 2, 3, 5

pp. 167-168, # 1, 2, 4, 5

pp. 171-172, #1, 2, 3, 5

pp. 174-175, #1, 4, 5

Solutions to Midterm 2

SEVENTH AND LAST HOMEWORK ASSIGNMENT. Due Tuesday, December 3, 2019.

p. 179: #1, 2, 6

p. 181: #1, 3

pp. 187-188: # 1, 2, 5

pp. 189-190: #1, 2, 7

pp. 191-193: #1, 2, 5

pp. 234-235: 1, 2, 3, 9

p. 238: 1, 6

pp. 242-243: 2, 7

Solutions to Practice Exam for Midterm 3

The third Midterm, and the last exam of the class, is on Tuesday, December 3 in class.

The exam has ten short-answer questions and is worth 100 points. December 3 will be the last day of class.

You can bring a 3" x 5" note card to the exam. No calculators or computers.