Prerequisite: MATH 336, or equivalent

• Textbook (required): M.J. Ablowitz and A.S. Fokas, Complex Variables: Introduction and Applications , Cambridge University Press, 2nd edition, 2003.
• Lecture Notes
• 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. In fact, using complex analysis one can solve many problems that are either very difficult or virtually impossible to solve by other means. This course provides an introduction to the subject, including analytic functions, complex integration, complex series and residue calculus. If time allows, we will also cover transform methods and some applications.
• 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.