MATH 202 Complex Analysis

Algebra of complex numbers, topology of the complex plane. Analytic functions, Cauchy-Riemann equations, power series. Complex line integrals, Cauchy theorem, Cauchy integral formula, Taylor series. Mean value property, Liouville theorem, isolated zeros, uniqueness theorem, maximum modulus principle. Isolated singularities, singularities at infinity, Laurent series. Residues, evaluation of improper integrals. Credit units: 3 ECTS Credit units: 5, Prerequisite: MATH 102 or MATH 114.

Autumn Semester (Alexander Degtyarev)

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