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 |
Nov 27
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 |
Nov 29
Chapter 17: Functions of a Complex Variable 17.2-17.3: The Geometry of the Complex Plane [handout] 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 |
Dec 4
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 |
Dec 6
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 |
Dec 11
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 |
Dec 13
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 |
Dec 18
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 |
Dec 20
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 |
Holiday |
Break |
|
| Wk05 |
Jan 8
Review for Prelim Exam 1 Problem Set 4 (Sec. 18.1-18.3) due
|
Jan 10
FIRST PRELIM EXAM (Chapters 17-18) |
| Wk06 |
Jan 15
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
|
Jan 17
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 |
Jan 22
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 |
Jan 24
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 |
Jan 29
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 |
Jan 31
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 |
Feb 5
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 |
Feb 7
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 |
Feb 12
Review for Prelim Exam 2 Problem Set 8 (Sec. 20.1-20.2) due
|
Feb 14
SECOND PRELIM EXAM (Chapters 19-20) |
Last Modified: 2012 December 18
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.
