Week | Lecture Day | Section | Topic | Suggested Exercise Problems | Homework
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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)
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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)
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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)
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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
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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)
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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)
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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)
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8 | May 16 May 18 May 20
| VI.1 - -
| Laurent Series Review Second Midterm
| §VI.1: 1, 2 - Practice Midterm: posted on CCLE
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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)
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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
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Finals | June 7 | - | Final Exam from 3:00PM to 6:00PM
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