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sylln - Math 6322 Introduction to Function of One Complex...

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Math 6322: Introduction to Function of One Complex Variable Fall, 2011 INSTRUCTOR : Min Ru([email protected], 743-3477) TIME : MW 1:00p.m.-2:30p.m. Room: AH301 OFFICE HOURS : MWF 12:00p.m.-1:00p.m. or by appointment, PGH674. e-mail: [email protected] TEXTBOOK : Function theory of one complex variable” by Robert Everist Greene, Steven George Krantz, Third Edition Outline of the Course This is a first semester graduate course in functions of one complex vari- able. Topics to be covered include the Cauchy-Riemann equations, Cauchy Integral Formula, Liouville theorem, meromorphic functions, residues, nor- mal families and Montel’s Theorem, Riemann mapping theorem, harmonic functions, Poisson Integral Formula, subharmonic functions, Dirichlet prob- lem, Weierstrass products, Mittag-Leffler Theorem, Blaschke products. Grading policy Grades will be based on weekly homework assignments (50%), a midterm exam (25%), and a final problem set (25%). Outline of the plan (Subject to Change!!!) Week 1 and 2 (Aug 22-Sept 2): reading : (review of chapter 1), 2.1., 2.2, 2.3, 2.4;
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