MTH 462 Calendar and Syllabus  Spring 2008

Text: Complex Variables, 2nd Edition by Stephen D. Fisher, Dover Publications

Week

Events

Sections

Problems

Jan 21

Classes start Wed
Jan 23
 

1.1 Complex numbers

 

1-7 , 13, 15

Jan 28

 

1.2 Some geometry 
1.3 Subsets of the plane 

1,3,5,11,15,16,21,23,25,35
1,3,5,7,10

Feb 4

 

1.4 Functions and limits 
1.5 Exponential, log, trig  

1,5,6,9,11,13,15,25,31,33
1-10,15,17,20,21

Feb 11

 

1.5:: 1.6 Line integrals
1.6

26,28,30:: 1,3,5,7  
11,12,18,19

Feb 18

 
 

2.1 Analytic functions
2.2 Power Series

1,12,16,17,18,20,22,25
1,3,5,7-10,14-18

Feb 25

 Review

Exam #1 (Feb 28)


Sections 1.1 – 2.2



Mar 3

 

2.3 Cauchy’s Theorem 
2.4 Consequences of CT

1,3,4,5,6,9,11,18
1,3,5,9,12,15,16,17

Mar 10

 

2.5 Isolated singularities
2.6 Residue Theorem

1,2,5,6,7,9,11,13,14,22c,23a,
1-11 odd

Mar 17

Spring Break 

 

 

Mar 24

 

2.6

13,15,17,19,20,23b

26b,31

Mar 31

 

3.1 Zeros of analytic fcts
3.2 Maximum modulus prin.

1,5,7,9,13,15,17a,17b
1,3,5,14

Apr 7

 

3.3 Linear Fractional Trans.

2,3,4a,4b,5a,5c,5d
7,13,14,16,25

Apr 14

Review

Exam #2 (Apr 17)


Sections 2.3 – 3.3

 

Apr 21

 

3.4,3.4.1 Conformal Maps
3.5 Riemann Mapping

3.4.1: 1,3,5,7
1,3,15

Apr 28

Review