Week | Lecture Day | Section | Topic | Suggested Exercise Problems | Homework
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0 | September 25
| I.1
| Complex Numbers
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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)
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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)
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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)
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4 | October 19 October 21 October 23
| IV.2 - -
| Fundamental Theorem of Calculus for Analytic Functions Review First Midterm
| Practice midterm: posted on CCLE
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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)
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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)
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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)
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8 | November 16 November 18 November 20
| VI.1 - -
| Laurent Series (cont'd) Review Second Midterm
| Practice midterm: posted on CCLE
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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)
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10
| November 30 December 2 December 4
| VII.2 VII.3 -
| Application to Evaluating Integrals Application to Evaluating Integrals (cont'd) Review
| Practice final:
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Finals | December 7 | - | Final Exam from 8:00AM to 11:00AM
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