Analytic Function Theory

3 credits · Undergraduate

Topics include: review of analytic complex functions including topological properties of the plane, Mobius mappings, exponential, logarithmic, trigonometric and related functions, integration and the Cauchy theorem. Cauchy's integral formula, residues, harmonic functions, analytic continuation, entire and meromorphic functions, some results of conformal mapping, including the Riemann mapping theorem. PREREQUISITES: MATH 2002.03 (MATH 3080.03 recommended) CROSSLISTED: MATH 5020.03