Prerequisite: MATH 435, or equivalent
- Textbook (required):
- M.J. Ablowitz and A.S. Fokas, Complex Variables: Introduction and Applications , Cambridge University Press, 2nd edition, 2003.
- Goals and Objectives of the Course: Complex analysis is a very important tool in applied mathematics as well as physical and engineering sciences. In addition to being elegant, complex analysis provides powerful techniques for solving a wide array of problems arising in applications. This course provides an introduction to applications of complex analysis such as conformal mappings, asymptotic expansions and Riemann-Hilbert problems.
- Class Procedures: The majority of each class period will be lecture oriented. You are expected to attend the lectures, take your own lecture notes, read the textbook and do the homework problems.
- Course Requirements: There will be either two midterm tests (or one midterm project) and a takehome final exam. There will be homework assignments that may or may not be graded. A significant part of the grade will depend on class participation.
- Attendance Requirements: Regular attendance is expected. You are responsible for all material covered in this class as well as material from the textbook which is assigned but not covered in class.
- Changes: The course plan may be modified during the semester. Such modifications will be announced during class periods. You are responsible for keeping abreast of such changes.