Instructor:
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Exam | firstst midterm | second midterm | Final |
Sections | 1 - 29 | 30 - 64 | 1 - 92 |
Section | Topic | Page [Problems] |
1- 2 | Complex Numbers | 5 [2, 4, 5, 9, 12] |
3- 5 | Geometric Prop. | 11 [3, 10, 14], 17 [1, 4, 5, 8, 13] |
6- 8 | Roots | 22 [1, 4, 6, 7, 8], 25 [1-5] |
9-14 | Mappings | 32 [3, 4, 5, 7] |
15-18 | Derivatives | 42 [2, 4, 9], 47 [1, 3, 8], 54 [1, 2d, 7] |
19-22 | CR Eqns. | 62 [1, 6, 7b, 10, 12] |
23-25 | Exponentials | 68 [3, 6, 8, 10], 71 [2, 7, 9], 74 [2, 5] |
26-29 | Logs | 79 [3, 6, 14], 84 [2, 6, 9, 10, 11] |
30-33 | Integrals | 92 [3, 4, 11], 102 [1, 5, 7, 11, 13, 15] |
34-35 | Contour Integrals | 119 [2, 3, 7] |
36-38 | Cauchy Goursat | 128 [1, 3, 5] |
39-40 | Liouville's Th. | 136 [1, 2, 3, 4, 5, 6] |
43-45 | Algebra & Series | 156 [4, 6, 8] |
46-51 | Laurent Series | 172 [1, 3, 10, 15] |
53-55 | Residues | 188 [1, 2, 4, 7] |
56-58 | Poles | 197 [1, 2, 3, 4, 10] |
60-61 | Evaluation of integrals | 208 [1, 2, 3, 4, 6, 9], 214 [1, 2, 6, 13)] |
62-64 | Improper Integrals | 218 [1, 3, 6], 226 |
66-67 | Other applications | [1, 2, 3, 7], 242 [1, 6] |
68-72 | Linear fractions | 250 [2, 8, 11, 17], 258 [2, 5, 6, 13] |
79-81 | Exp-sin-log-root | 266 [4, 5, 6, 9], 275 [3, 4, 8] |
82-83 | Harmonic Mapping | 289 [1, 4, 6], 297 [1, 3, 9] |
84-85 | Steady Temp. | 307 [1, 2, 5, 8] |
86-87 | Electrost. potential | 312 [2, 3, 7, 10] |
88-92 | Stream Function | 322 [3, 4, 5, 7, 11] |
Quadratic, cubic and quartic equations; introduction of complex
numbers
Irrotational flows by conformal mappings Interactive page, a
lot of pictures.
Lectures on Advanced Topics in Theory of Functions of a Complex
Variable by Norm Bleistein
COMPLEX ANALYSIS: Mathematica 4.0 Notebooks by John H.
Mathews, and Russell W. Howell. Lecture notes and
Mathematica-based examples, including Julia & Mandelbrot sets,
conformal mappings, etc.
68 lessons by Dr. John H. Mathews.
A part of the book, Complex Analysis for Mathematics &
Engineering, 4th Ed, 2001, by John H. Mathews and Russell W.
Howell
Please let me know if you find interesting web sites related
to the course
Thank you.