Course Information
Section 201 M W F 11:00am MATH 229 |
Instructor Information
Instructor: David Boyd Office: Math Bldg 200 Hours: Mon and Wed 1:00-2:00, or by appointment |
Final examination
Here are some sample examinations from previous years: 1997, 2002 |
Pre-exam Office Hours:
Wednesday, Apr 14, 10 AM - 12 Noon Monday, Apr 19, 10 AM - 12 Noon, or by appointment. |
Textbook
The textbook for this course is Complex Analysis by Theodore W. Gamelin, Springer, 2001 |
References
L.V. Ahlfors, Complex Analysis J. Bak & D.J. Newman, Complex Analysis J.B. Conway, Functions of One Complex Variable, I |
Course Outline
1. Review of Analytic Functions and Cauchy's Theorem (Chapters 4-7) 2. Winding number and the Argument Principle (Chapter 8) 3. The Inverse Function Theorem (Chapter 8) 4. Compact Families of Analytic Functions (Section 11.5) 5. Conformal mapping and the Riemann Mapping Theorem (Chapter 9 & 11, Section 10.3) 6. Picard's Theorem (Chapter 12) 7. Iteration - Julia Sets and the Mandelbrot Set (Chapter 12) |
Assignments and Exams
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Solutions
Solutions for and comments on some of the homework problems are available: hwk 2 hwk 3 hwk 4 hwk 5 hwk 7 hwk 8 hwk 9 hwk 10 |
Online Course Material
There will be no paper handouts for the course. All such material will be linked to this site and be in pdf format. To read pdf you need Adobe's free acrobat reader . |