Math 3160 Applied Complex Variables

Fall Semester 2005

Instructor: David C. Dobson
Office:
LCB 210
Office hours:
T, 4:00-5:30, or by appointment.

Prerequisites: Math 2250 or 2280 or consent of instructor.

Text: Complex Variables and Applications, seventh edition, by James Ward Brown and Ruel V. Churchill.


Course Description: 2 credits.  Analytic functions, complex integration, Cauchy integral theorem, Taylor and Laurent series, residues and contour integrals, conformal mappings with applications to electrostatics, heat, and fluid flow.

Homework: Problems will be assigned regularly and will generally be due on Wednesday of each week.  Late homework cannot be accepted. A random subset of problems from each assignment will be graded.  To succeed in the course, it is necessary to do and understand all of the homework.

 Due date
 Assignment
 Wednesday 8/31
 Page 4 (Sec. 1, 2): 2, 3, 5, 8, 10.
 Page 7 (Sec. 3):   1, 2, 5.
 Wednesday 9/7
 Page 11 (Sec. 4): 1, 4.
 Page 13 (Sec. 5): 1, 2, 8, 10.
 Wednesday 9/14
 Page 21 (Sec. 6, 7): 1, 2, 4, 6, 8.
 Page 28 (Sec. 8, 9): 2, 3, 6, 8.
 Wednesday 9/21
 Page 31 (Sec. 10): 1, 2, 4, 5, 7, 10.
 Page 35 (Sec. 11): 1, 2, 3.
 Page 42 (Sec. 12): 1, 3, 8.
 Wednesday 9/28
 Page 53 (Sec. 14-17): 2, 3, 5, 9, 10, 11.
 Page 59 (Sec. 18-19): 1, 3, 4, 8, 9.
 Wednesday 10/5
 Exam I -- no homework due!
 Wednesday 10/12
 Page 68 (Sec. 20-22): 1, 2, 3, 4, 6, 10.
 Wednesday 10/19
 Page 73 (Sec. 23-24): 1, 2, 3, 4, 7(a).
 Page 78 (Sec. 25): 1, 3, 4, 7, 8.
 Page 84 (Sec. 26-27): 2, 3.
 Wednesday 10/26
 Page 89 (Sec. 28): 1, 3, 8, 13.
 Page 94 (Sec. 29-30): 2, 5, 8.
 Page 96 (Sec. 31): 1, 4.
 Page 99 (Sec 32): 2, 3, 6, 7, 9.
 Wednesday 11/2
 Page 103 (Sec 33): 2, 5(a).
 Page 107 (Sec 34): 1, 3.
 Page 115 (Sec 36-37): 2.
 Page 120 (Sec 38): 4, 5.
 Page 128 (Sec 39-40): 1, 3, 5, 6.
 Wednesday 11/9
 Exam II -- no homework due!
 Wednesday 11/16
 Page 141 (Sec 42-43): 2, 3, 5.
 Page 153 (Sec 44, 46): 1(a)-(c), 2(a), 6.
 Page 162 (Sec 47-48): 1(a)-(c), 2, 3.
 Wednesday 11/23
 Page 181 (Sec 52): 4.
 Page 188 (Sec 53-54): 1, 2, 3, 6.
 Page 198 (Sec 55-56): 2, 3, 5.
 Wednesday 11/30
 Page 218 (Sec 61): 1, 3.
 Page 230 (Sec 62-63): 1(a),(b), 2(a)-(c), 3(a),(b).
 Wednesday 12/7
 (last homework)
 Page 233 (Sec 64-65): 1, 2, 3.
 Page 238 (Sec 66-67): 1, 2, 3.
 Page 245 (Sec 68-69): 2, 4.
 Page 257 (Sec 71-72): 1, 3.

Exams: Two midterm exams and a comprehensive final exam will be given in class.  All exams are closed-book, closed-notes.  No notebook computers or wireless devices are allowed.

Grades: Your grade will be determined by your scores on the three exams, and the total of your homework scores.  The dates and weights of these are as follows:

Homework
(weekly)
30%
Exam I
(Wednesday, October 5)
20%
Exam II
(Wednesday, November 9)
25%
Final Exam
(Friday, December 16, 8:00-10:00 am)
25%

There will be no opportunities for extra credit.  Makeups for exams and homework will only be given in case of University-excused absences.

Tutoring is available from the Math Tutoring Center.

Students with disabilities may contact the instructor at the beginning of the semester to discuss special accomodations for the course.

Copyright notice: All printed and electronic material provided to you in this course are protected by copyright laws.