Mathematics 3160

Applied Complex Variables

Fall 2006


Time and Place:  MW 9:40-10:30am, AEB 110
Instructor:  Grady Wright, JWB 126, 581-8649, Email:
Office Hours:  MTW 10:35-11:45am, or by appointment (email is best).

Please see the  syllabus for more information.


Homework

See "How to Present your Work" for instructions on writing up your homework assignments.  You may also be interested in this page describing some basic mathematical  symbols.

Homework will now be assigned on Mondays and due on the following Monday, unless otherwise stated.
 
# Due Section(s) Topic Page[Problem Numbers] Additional Problems
1 08-30-2006 1-2
4
Complex Numbers
Geometric Properties
4[2,3,4,5,10], 7[1,5]
11[1,4]
 
2 09-06-2006 5
6-7
Geometric Properties
Polar Coordinates
13[1,2,7,10]
21[1,2,5,6,7]
 
3 09-13-2006 6-7
8-10
11
Polar Coordinates
Roots
Functions of a complex variable
21[5,10]
28[3,6,7,8],31[1,5]
35[1b,1d,2,4]
 
4 09-20-2006
New due date:
09-25-2006
12-13
14-17
Mapping
Limits
42[1,3,7],Supplemental
53[1c,2a,2b,3b,5,10]
 
5 09-25-2006 18-19 Derivatives 59[1b,1d,3,7,8]  
6 Monday: 10-02-2006 20-22
23-24
25
Cauchy-Riemann
Analytic functions
Harmonic functions
68[1b,1d,2b,2d,3c,4a]
73[2c,4a,4c]
78[1b,1d,9]
 
Exam 1 Wednesday: 10-04-2006 1-27 All material up to 10-02-2006 Practice Exam A
Practice Exam B
Solutions Practice A
Solutions Practice B
7 Monday: 10-16-2006 28-30
31-32
Exponential and log
Complex exponents
89[3,6,8a,10],94[1b,3b,4,5]
96[1,4],99[2a,2b,3,6,9]
 
8 Monday: 10-23-2006 33-35
36-37
Trigonometric functions
Definite integrals
103[13,17],107[1,15],110[3]
115[2a,2c,3]
 
9 Monday: 10-30-2006 38-41 Contour Integrals 121[5],128[2,3,6,7,10],133[4]  
10 Monday: 11-06-2006 42-43
44-48
Antiderivatives
Cauchy Integral Formula
141[2,4]
153[1a,1c,1e,1f,2b,3,4,6], 162[1b,1d,2b,4,7]
 
11 Monday: 11-13-2006 49-50
51-54
55-56
Max. principle
Power series
Laurent series
171[4,8]
181[4],188[2,3,7,8]
198[1,2,4]
 
Exam 2 (solutions) Wednesday: 11-15-2006 28-56 All material up to 11-8-2006 Practice Exam A
Practice Exam B
Solutions Practice A
Solutions Practice B
12 Monday: 11-27-2006 57-61
62-65
Manipulating power series
Residues and singular points
212[1,3,4,6],218[1,2,4]
230[1a-c,2a,2c,3a],233[1a,1c,1d,2b]
 
13 Monday: 12-11-2006 66-69
71-72
73-74, 81-82
Residues and poles
Improper integrals
Fourier and Laplace integral
238[2,3,5,6a],245[1,2b,4b,8b]
257[2,4,6]
265[2.3,5,8],296[1,4]
 
Ex. Credit Monday: 12-11-2006 1-82 Choose any 12 of the following
26 problems.
14[14],28[5],42[6],59[4],68[1c],73[4b],
78[3],89[12],94[7],99[1b],103[11],107[14],
115[7],128[11],153[1d],162[5],188[13],198[6],
212[2],218[8],230[1e],233[2c],238[4],245[5],257[8],265[12]
 
Review Friday: 12-08-2006, 10:00am - 12:00pm Location: JWB 208 Come with questions!    
Final Exam Monday: 12-11-2006   Comprehensive exam Practice Exam A
Practice Exam B
Solutions Practice A
Solutions Practice B


Miscellaneous



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