School of Science - Department of Mathematics

0301713Complex Analysis

• Course Description :Analytic functions: power series, Laurent series, analytic functions as mappings, Mobius  transformations, linear   fractional   transformations, conformal mappings, cross ratio, complex integration: zeros of analytic functions, Cauchy's  theorem and formula, the argument principle, the open mapping theorem, the maximum modulus principle, Schwartz lemma, singularities: classification of singularities, residues, residue theorem, evaluation of real definite and improper integrals, normal families: Riemann mapping theorem, Schwartz reflection principle, Schwartz-Christofell formulas, harmonic functions: Dirichlet problem, Poisson’s formula, mean value property. 
• Pre Request : None
• Credit Hour :3
• Department : Mathematics
• Program :
• Course Level :Master
• Course Outline :

  0301713 Syllabus.pdf