This course is directed to students specializing in pure and applied mathematics. The level of the course material is from beginning to intermediate. The topics cover complex differentiation and holomorphic functions, complex integration and Cauchy integral formulas, Taylor and Laurent series, residue calculus for meromorphic functions, harmonic functions and maximum principles, conformal mappings and linear fractional transformations, analytic continuation and special functions, Hilbert spaces and Riemann-Hilbert problems.
|Instructor:||Dr. Dmitry Pelinovsky, BSB-204, ext.23424|
|Lecture hours:||Tuesday, Thursday, Friday: 11:30-12:20; BSB-145|
|Office hours:||Thursday: 14:00-15:00 or by appointment|
The course material overlaps and extends the introductory course Complex Analysis I. Notice that this follow-on course is based on new main textbook that compliments and sometimes simplifies the other (auxiliary) textbook. Problems for home assignments and tests are taken from both the textbooks and published on the Web for your convenience.
|Prerequisite:||Mathematics 3X03 (Complex Analysis I)|
|Main textbook:||"Complex variables: introduction and applications" by M.J. Ablowitz & A.S. Fokas, (Cambridge University Press, 1997)|
|Auxiliary textbook:||"Function theory of one complex variable" by R.E. Greene and S.G. Krantz (John Wiley & Sons, 1997)|
Two class tests are scheduled during regular lecture hours on the dates: Friday, October 6, 2000 and Friday, November 3, 2000. Five home assignments are handed out in class on Tuesdays every second week, starting the week of September 18, 2000. The assignments are due at 11:30 on Tuesdays in the following week. The course is completed by a take-home test which is handed out in class on Tuesday, November 28, 2000 and is due at 11:30 on Friday, December 1, 2000.
|Marking scheme:||Take-home test - 20%
Two class tests (50 min) - 30%
Five homework assignments - 50%
Follow to Course Program for progress on the lectures. The topics covered by the lectures are given together with sections of the main and auxiliary textbooks.
Major weight for the final mark comes at Home Assignments. Submit assignments on time and deserve the highest mark for the course!