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This table gives a tentative timetable for the course. Everything in it (including possibly the dates of exams and homeworks) is subject to change.

Chapter, section and problem numbers are from Zill and Wright, Advanced Engineering Mathematics, Fourth Edition

Tuesday Þursday
Tuesday Þursday
Wk01 Sep 6

Chapter 17: Functions of a Complex Variable

17.1: The Algebra of Complex Numbers

Practice Problems: 17.1.1, 17.1.5, 17.1.9, 17.1.13, 17.1.15, 17.1.27, 17.1.35, 17.1.39

Sep 8

Chapter 17: Functions of a Complex Variable

17.2-17.3: The Geometry of the Complex Plane

Practice Problems: 17.2.7, 17.2.11, 17.2.13, 17.2.23, 17.2.33, 17.2.39, 17.3.5, 17.3.17

Wk02 Sep 13

Chapter 17: Functions of a Complex Variable

17.4: Complex Differentiation

Practice Problems: 17.4.1, 17.4.5, 17.4.9, 17.4.13, 17.4.17, 17.4.21, 17.4.33, 17.4.37

Problem Set 1 (Sec. 17.1-17.3) due

Sep 15

Chapter 17: Functions of a Complex Variable

17.5: The Cauchy-Riemann Equations

Practice Problems: 17.5.1, 17.5.3, 17.5.9, 17.5.15, 17.5.17, 17.5.23, 17.5.25, 17.5.29, 17.5.32

Wk03 Sep 20

Chapter 17: Functions of a Complex Variable

17.6: Exponential and Logarithmic Functions

Practice Problems: 17.6.3, 17.6.7, 17.6.15, 17.6.23, 17.6.25, 17.6.33, 17.6.35, 17.6.41

Problem Set 2 (Sec. 17.4-17.5) due

Sep 20

Chapter 17: Functions of a Complex Variable

17.7: Trigonometric and Hyperbolic Functions

Practice Problems: 17.7.5, 17.7.7, 17.7.11, 17.7.15, 17.7.19, 17.7.21, 17.7.29, 17.7.30

Wk04 Sep 27

Chapter 18: Integration in the Complex Plane

18.1: Contour Integrals

Practice Problems: 18.1.1, 18.1.3, 18.1.5, 18.1.7, 18.1.13, 18.1.17, 18.1.19, 18.1.21, 18.1.23

Problem Set 3 (Sec. 17.6-17.7) due

Sep 29

Chapter 18: Integration in the Complex Plane

18.2, 18.3: Cauchy-Goursat Theorem; Independence of Path

Practice Problems: 18.2.9, 18.2.11, 18.2.15, 18.2.21, 18.3.1, 18.3.7, 18.3.15, 18.3.17, 18.3.19

Wk05 Oct 4

Review for Prelim Exam 1

Problem Set 4 (Sec. 18.1-18.3) due

Oct 6

FIRST

PRELIM

EXAM

(Chapters 17-18)

Wk06 Oct 11

Chapter 18: Integration in the Complex Plane

18.4: Cauchy's Integral Formulas

Practice Problems: 18.4.1, 18.4.3, 18.4.7, 18.4.9, 18.4.15, 18.4.17, 18.4.19, 18.4.21, 18.4.23

Oct 13

Chapter 19: Series and Residues

19.1: Sequences and Series

Practice Problems: 19.1.3, 19.1.7, 19.1.9, 19.1.11, 19.1.15, 19.1.19, 19.1.21, 19.1.23, 19.1.25, 19.1.27

Wk07 Oct 18

Chapter 19: Series and Residues

19.2: Taylor Series

Practice Problems: 19.2.1, 19.2.3, 19.2.9, 19.2.11, 19.2.13, 19.2.19, 19.2.23, 19.2.27, 19.2.29, 19.2.35

Problem Set 5 (Sec. 18.4-19.1) due

Oct 20

Chapter 19: Series and Residues

19.3: Laurent Series

Practice Problems: 19.3.1, 19.3.3, 19.3.7, 19.3.9, 19.3.11, 19.3.13, 19.3.15, 19.3.21, 19.3.25, 19.3.27

Wk08 Oct 25

Chapter 19: Series and Residues

19.4-19.5: Zeros, Poles and Residues

Practice Problems: 19.4.1, 19.4.5, 19.4.9, 19.4.13, 19.4.19, 19.5.5, 19.5.13, 19.5.17, 19.5.21, 19.5.29

Problem Set 6 (Sec. 19.2-19.3) due

Oct 27

Chapter 19: Series and Residues

19.6: Evaluation of Real Integrals

Practice Problems: 19.6.3, 19.6.5, 19.6.9, 19.6.11, 19.6.13, 19.6.21, 19.6.23, 19.6.29, 19.6.31

Wk09 Nov 1

Chapter 20: Conformal Mappings

20.1: Complex Functions as Mappings

Practice Problems: 20.1.1, 20.1.5, 20.1.7, 20.1.11, 20.1.13, 20.1.15, 20.1.21, 20.1.23, 20.1.25, 20.1.29

Problem Set 7 (Sec. 19.4-19.6) due

Nov 3

Chapter 20: Conformal Mappings

20.2, 20.6: Conformal Mappings (list) & Applications

Practice Problems: 20.2.1, 20.2.3, 20.2.5, 20.2.7, 20.2.9, 20.2.19, 20.2.23, 20.6.1, 20.6.3, 20.6.5

Wk10 Nov 8

Review for Prelim Exam 2

Problem Set 8 (Sec. 20.1-20.2) due

Nov 10

SECOND

PRELIM

EXAM

(Chapters 19-20)


Last Modified: 2011 November 5

Dr. John T. Whelan / john.whelan@astro.rit.edu / Associate Professor, School of Mathematical Sciences & Center for Computational Relativity and Gravitation, Rochester Institute of Technology

The contents of this communication are the sole responsibility of Prof. John T. Whelan and do not necessarily represent the opinions or policies of RIT, SMS, or CCRG.

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