| Week | Lecture Day | Section | Topic | Suggested Exercise Problems | Homework
|
| 1 | January 4
January 6
January 8
| I.1
I.2
I.3
| Complex Numbers
Polar Representation
Stereographic Projection
| §I.1: 1--5
§I.2: 1, 2, 4--8
§I.3: 2, 4, 5
| Set #1: posted on CCLE
due January 11 (M)
|
| 2 | January 11
January 13
January 15
| 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 January 20 (W)
|
| 3 | January 18
January 20
January 22
| -
II.4
II.5
| Martin Luther King, Jr, holiday
Inverse Mappings
Harmonic Functions
| -
§II.4: 2, 4, 5, 6
§II.5: 1, 2, 4, 5, 6
| Set #3: posted on CCLE
due January 27 (W)
|
| 4 | January 25
January 27
January 29
| 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 | February 1
February 3
February 5
| 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 February 10 (W)
|
| 6 | February 8
February 10
February 12
| 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 February 17 (W)
|
| 7 | February 15
February 17
February 19
| -
V.4
V.6
| Presidents' Day Holiday
Power Series Expansion of an Analytic Function
Manipulation of Power Series
| -
§V.4: 1, 2, 3, 5, 10, 12
§V.6: 1--4
| Set #6: posted on CCLE
due February 24 (W)
|
| 8 | February 22
February 24
February 26
| V.7
-
-
| Zeros of an Analytic Function
Review
Second Midterm
| §V.7: 1, 3, 4, 6, 8
-
Practice Midterm: posted on CCLE
|
|
| 9 | February 29
March 2
March 4
| VI.1
VI.2
VII.1
| Laurent Series
Isolated Singularities
The Residue Theorem
| §VI.1: 1, 2
§VI.2: 1, 2, 8, 10, 12
§VII.1: 1, 2, 3
| Set #7: posted on CCLE
due March 9 (W)
|
| 10
| March 7
March 9
March 11
| VII.2
VII.3
-
| Application to Evaluating Integrals, I
Application to Evaluating Integrals, II
Review
| §VII.2: 1--9
§VII.3: 1--5
Practice Final: posted on CCLE
|
|
| Finals | March 13 | - | Final Exam from 2:00PM to 5:00PM
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