Week Lecture Day Section Topic Suggested Exercise Problems Homework
0 September 25 I.1 Complex Numbers
1 September 28
September 30
October 2
I.2
I.4--8
I.4--8
Polar Representation
Elementary Functions
Elementary Functions (cont'd)
Chapter I: Set #1: posted on CCLE
due October 2 (Friday)
2 October 5
October 7
October 9
II.1-2
II.3
II.4-5
Complex Derivatives
The Cauchy-Riemann Equations
Inverse Mappings; Harmonic Functions
Chapter II: Set #2: posted on CCLE
due October 9 (Friday)
3 October 12
October 14
October 16
II.6
III.1--3
IV.1
Conformal Mappings
Line Integrals and Green's Theorem (review)
Complex Line Integrals
Chapter III: Set #3: posted on CCLE
due October 16 (Friday)
4 October 19
October 21
October 23
IV.2
-
-
Fundamental Theorem of Calculus for Analytic Functions
Review
First Midterm
Practice midterm: posted on CCLE
5 October 26
October 28
October 30
IV.3
IV.4
IV.5
Cauchy's Theorem
Cauchy's Integral Formula
Liouville's Theorem
Chapter IV: Set #4: posted on CCLE
due October 30 (Friday)
6 November 2
November 4
November 6
IV.6
V.1--3
V.4
Morera's Theorem
Sequences and Series of Functions (review)
Power Series Expansion of an Analytic Function
Chapter V: Set #5: posted on CCLE
due November 6 (Friday)
7 November 9
November 11
November 13
V.7
-
VI.1
Zeros of an Analytic Function
Veterans Day Holiday
Laurent Series
Chapter VI: Set #6: posted on CCLE
due November 13 (Friday)
8 November 16
November 18
November 20
VI.1
-
-
Laurent Series (cont'd)
Review
Second Midterm
Practice midterm: posted on CCLE
9 November 23
November 25
November 27
VI.2
VII.1
-
Isolated Singularities
The Residue Theorem
Thanksgiving Holiday
Chapter VII: Set #7: posted on CCLE
due December 4 (Friday)
10 November 30
December 2
December 4
VII.2
VII.3
-
Application to Evaluating Integrals
Application to Evaluating Integrals (cont'd)
Review
Practice final:
Finals December 7 - Final Exam from 8:00AM to 11:00AM