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. That is, after discussing the gamma function we will move on to normal families 5. Gamelin Bak and Newman. Chapter 2, sec 1. The final grade will be based on the midterm and final exam and the homework grades.
No Class Rosh Hashana. That is, each challenge problem is worth as much as a weekly homework assignment! Families of Analytic Functions. Complex Analysis by L. The following announcements of this type have been made: By appointment Outline I plan to give a very standard beginning complex analysis course. Important Dates There will be one midterm exam and a cumulative final exam.
Course meetings, Tues -Thurs Students are strongly advised to work on all the homework problems to make sure they are keeping pace with the class. Complex Analysis by Lars Ahlfors, 3ed.
Some of the material can also be found in Hyperbolic Geometry from a local viewpoint, L. I will assume the material in the first chapter coursw the algebraic properties of complex numbers and their geometric representation. Please make sure to write clearly and hpmework the assignment number and your name appear at the top of the first page.
The final grade will be based on the midterm and final exam and the homework grades.
Late homework is not accepted. Complex Analysis by L. After that, we will for the most part proceed linearly through the textbook at a steady rate. Other classical texts you may want to consult are: The final will be halfors class on Dec Homework is accepted until the solutions have been posted.
Complex Analysis I
Reading By the end of the first week, read chapter 1 and the first two sections from chapter 2. Harmonic functions, Poisson kernel.
Course Outline – Mat – Fall Quick review of elementary point set topology. Homework 7 due Monday, Feb 29 — Geometric properties of holomorphic functions Sec 4. Weekly homework Suggested exercises — Elliptic Functions Sec 7.
Chapter 2 sec 1.
Solutions to Complex Analysis () :: Free Homework Help and Answers :: Slader
Staple your homework homesork it spans several sheets of paper. Complete problems 3 and 5 on this list. Cambridge University Press, The suggested reading for the material for this is: Chapter 2, sec 1. Monday classes — no meeting. Polynomial and Rational Functions. The mailroom is located on the 3 rd floor of SEO.
The sections under discussion will be announced in each lecture, and it is up to you to keep up with the corresponding reading. Grading Your course grade will be determined on the following basis: No lectures about section 3.
Poisson Integral, Schwarz reflection Chapter 4. There will be a total of eight problems on the exam, and you will be asked to complete any five of halfors.
Homework 12 due Monday, Apr 11 — Products Sec 5. Linear Fractional transformations, elementary mappings. Schwarz reflection principle, zeros, poles and residues, Calculus of residues, applications to definite integrals.