## Complex analysis course text ahlfors homework solutions

Course Outline - Mat - Fall Text: Complex Analysis by L. Ahlfors, McGraw Hill. Knopp, dover reprint. Some of the material can also be found in Hyperbolic Geometry from a local viewpoint, L. Keen, N. Lakic, Cambridge Other texts.

Instructor: Prof. Office Room Phone or email linda.

## Complex Analysis

Outline I plan to give a very standard beginning complex analysis course. I expect to cover the material in Ahlfors in the first semester.

I will assume the material in the first chapter on the algebraic properties of complex numbers and their geometric representation. Complex numbers, holomorphic functions, Cauchy-Riemann equations, power series, complex integration. Conformal mapping.

## Readings and Homework

Linear fractional transformations. The exponential and logarithmic functions. Schwarz reflection principle, zeros, poles and residues, Calculus of residues, applications to definite integrals. Harmonic functions, Poisson kernel.

## UC Berkeley, Spring 2016

Mittag-Leffler theorem. Homework assignments will appear on this page approximately every week. Students are strongly advised to work on all the homework problems to make sure they are keeping pace with the class.

Homework is accepted until the solutions have been posted. The final grade will be based on the midterm and final exam and the homework grades.

## Important Dates

The date for the final exam will be announced on this page well in advance. The final will be in class compex Dec Class and Homework Assignments Exercises from Ahlfors ed unless otherwise noted - due date on selected problems is not relevant:.

Read Chapter 1 and Chapter 2 sec 1ex: sec 1. Analytic functions.]