Math532SyllabusFall2010 - Tuesday December 14 between 1 PM...

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Math 532 Functions of a Complex Variable Fall 2010 Schedule # 21887 TTh 2PM - 3:15PM: GMCS 307 Instructor: Tunc Geveci [email protected] Office : GMCS 505 Office hours: MWF: 10:10 - 11:30; TTh: 3:15PM - 4PM Prerequisite : Math 252 Text: This is a Blackboard course. Lecture Notes, assignments and their solutions will be posted on Blackboard Grading Policy : Homework (20%), 2 exams (25% each), final exam (30%). There will be no make-up exams. The final exam will replace an exam that is missed due to an acceptable excuse. If you take all in-term exams, the final exam will replace the lowest in-term exam. Tentative exam dates: Thursday, October 14, Thursday, December 2. Any changes in the dates of the exams will be announced one week in advance. The final exam is on
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Unformatted text preview: Tuesday, December 14 between 1 PM and 3 PM. Topics: Complex Numbers and Elementary Functions : Complex numbers, powers , the exponential function, the logarithm, trigonometric functions. Analyticity : Limits, continuity, differentiability. Complex Integrals : Contour integrals, Cauchy’s theorem and integral formula, Liouville’s theorem, Morera’s theorem. Power Series : Power series expansion of analytic functions. Operations on series. Zeros of analytic functions. Laurent Series and Isolated Singularities The Residue Calculus : The residue theorem and the evaluation of certain integrals via residues....
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