Instructor: Dr. Vasiliy Prokhorov, ILB 422 prokhoro@southalabama.edu
http://www.southalabama.edu/mathstat/personal pages/prokhorov/class handouts/
Phone: 460-6758
Lectures : T R 6:00 p.m. – 7:15 p.m. in ILB 345
Office Hours:
M 5:00 p.m. – 6:00 p.m., ILB 422
T R 1:30 p.m. – 3:30 p.m., ILB 422
T R 7:15 p.m. – 7:45 p.m., ILB 422
(or by appointment)
Objective: This is an introductory course in the theory and applications of functions of a complex variable. A rigorous development of the basic theory is given to ensure that the student has the fundamentals to further study complex analysis as well as apply the theory to other fields of mathematics, science and engineering. Prerequisite: : C or better in MA 238.
Bulletin description: Arithmetic of complex numbers; regions in the complex plane; limits, continuity, and derivatives of complex functions; elementary complex functions; mappings by elementary functions; contour integration; power series; Taylor series; Laurent series; calculus of residues; conformal representation; applications.
Textbook: Complex Variables and Applications , 8th edition, by James Ward Brown and Ruel V.
Churchill; McGraw-Hill, Inc. (New York).
Coverage: Most of chapters 1 through 6, and parts of chapters 7, as time permits.
Attendance Policy:
Students are expected to attend all classes and participate in discussions.
Grading Policy:
60% Best 2 out of 3 tests to be given
February 6, March 13, April 10
No make up test will be given
30% Final (comprehensive) exam
10% Homework and class participation
Homework will be assigned in class. Not all of the homework will be collected and graded. That which is collected will be called take-home quizzes. Graduate students will be given more advanced problems in addition to the regular assignments. Ungraduates are encouraged to work advanced problems for extra credit.
If the student accumulates: at least 90% =A at least 80% =B at least 70% =C less than 60% =F at least 60% =D
Final Exam: Tuesday, May 6, 6:00 p.m. – 8:00 p.m.
Tutoring Lab:
The department offers a tutoring lab to all students taking mathematics and statistics classes. There is no lab fee. Please check the bulletin board outside ILB 325 for details.
Any student with a qualified handicap requiring accommodations should talk to me after class so that arrangements can be made. A student must verify that he/she has a qualified handicap through the
Special Student Services Office.
Students will be notified in writing in case of changes to the syllabus.

Note: In the Department of Mathematics and Statistics secretaries do not give grades over the phone.
Students who are thinking about dropping a course please speak first with the instructor, or department chair (M. Mulekar), or assistant to the chair (S. Brick) before dropping.