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This is a standard introductory course on complex analysis. Topics to be covered include:

• Review of complex numbers
• Analytic functions, Cauchy-Riemann equations
• The Cauchy theorem, Cauchy's integral formula
• The residue theorem
• Applications of the residue theorem to the evaluation of definite integrals and sums
• The argument principle, Rouche's theorem
• Conformal mappings
• Analytic continuation

Prerequisite:  Ma 108b or equivalent

Text: Joseph Bak and Donald J. Newman, Complex Analysis, 2nd edition, Springer