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Phone: (407) 823-6284;   Fax: (407) 823-6253;   MAP  207 MAA 6404 .0001 Complex Analysis Fall 2003 , 3 credit hours INSTRUCTOR Dr. Arthur A. Danielyan OFFICE MAP 124 OFFICE HOURS MWF 10:00-10:50 am, TR 3:00-3:50 pm and by appointment PHONE 823-4310 EMAIL adaniely@pegasus.cc.ucf.edu CLASS LOCATION    MAP 108 CLASS TIMES 5:30-6:45 pm TR TEXTBOOK Functions of one complex variable, second edition by John B. Conway TESTS There will be two tests and final examination. TEST 1 - TUESDAY, FEBRUARY 11;TEST 2 - THURSDAY, MARCH 13; FINAL - on period of APRIL 22-28. GRADING POLICY Grades for the course will be based on two tests, a final examination and homework assignments. GRADING SCALE Average Grade 90 - 100% A 80 - 89% B 70 - 79% C 60 - 69% D 0 - 59% F IMPORTANT DATES Withdrawal Deadline - FEBRUARY 28. TENTATIVE LIST OF TOPICS Complex valued functions; analytic, harmonic functions. Complex integrals; Chaushy theorem and integral formula, Morera's theorem, Liouville's theorem, Fundamentaltheorem of algebra and the argument principle. Sequences and series of functions of a complex variable, uniform convergence.Laurent series, classification of singularities. Maximum and minimum modulus theorems and their applications. Residue theory. Analytic continuation. Conformal mapping.