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 / Professor, School of Mathematical Sciences & Center for Computational Relativity and Gravitation, Rochester Institute of TechnologyThe 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.
