Week Lecture Day Section Topic Suggested Exercise Problems Homework
1 March 28
March 30
April 1
I.1
I.2
I.4
Complex Numbers
Polar Representation
The Square and Square Root Functions
§I.1: 1--5
§I.2: 1, 2, 4--8
§I.4: 1
Set #1: posted on CCLE
due April 6 (W)
2 April 4
April 6
April 8
I.5--8
II.2
II.3
Elementary Functions
Complex Derivatives
The Cauchy-Riemann Equations
§I.5: 1, 3, 4; §I.6: 1, 3, 4; §I.7: 1, 2, 4, 5; §I.8: 1--4
§II.2: 1, 3--6
§II.3: 1, 2, 5, 6, 8
Set #2: posted on CCLE
due April 13 (W)
3 April 11
April 13
April 15
II.4
II.5
II.6
Inverse Mappings
Harmonic Functions
Conformal Mappings
§II.4: 2, 4, 5, 6
§II.5: 1, 2, 4, 5, 6
§II.6: 1, 3, 4
Set #3: posted on CCLE
due April 20 (W)
4 April 18
April 20
April 22
III.1-2
-
-
Line Integrals and Green's Theorem
Review
First Midterm
§III.1: 1--4; §III.2: 2, 3
-
Practice Midterm: posted on CCLE
5 April 25
April 27
April 29
IV.1
IV.2
IV.3
Complex Line Integrals
Fundamental Therem of Calculus for Analytic Functions
Cauchy's Theorem
§IV.1: 1, 2, 3, 5, 6, 9
§IV.2: 1, 2, 3
§IV.3: 1, 4
Set #4: posted on CCLE
due May 4 (W)
6 May 2
May 4
May 6
IV.4
IV.5
V.1--3
Cauchy's Integral Formula
Liouville's Theorem
Sequences and Series of Functions
§IV.4: 1, 3
§IV.5: 1--4
-
Set #5: posted on CCLE
due May 11 (W)
7 May 9
May 11
May 13
V.4
V.6
V.7
Power Series Expansion of an Analytic Function
Manipulation of Power Series
Zeros of an Analytic Function
§V.4: 1, 2, 3, 5, 10, 12
§V.6: 1--4
§V.7: 1, 3, 4, 6, 8
Set #6: posted on CCLE
due May 18 (W)
8 May 16
May 18
May 20
VI.1
-
-
Laurent Series
Review
Second Midterm
§VI.1: 1, 2
-
Practice Midterm: posted on CCLE
9 May 23
May 25
May 27
VI.2
VII.1
VII.2
Isolated Singularities
The Residue Theorem
Application to Evaluating Integrals, I
§VI.2: 1, 2, 8, 10, 12
§VII.1: 1, 2, 3
§VII.2: 1--9
Set #7: posted on CCLE
due June 3 (F)
10 May 30
June 1
June 3
-
VII.3
-
Memorial Day Holiday
Application to Evaluating Integrals, II
Review
-
§VII.3: 1--5
Practice Final: posted on CCLE
Finals June 7 - Final Exam from 3:00PM to 6:00PM