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Texts:

Complex Analysis by Lars Ahlfors
Complex Analysis (Princeton Letures in Analysis Vol. II) by Elias Stein and Rami Shakarchi

Notes and solutions for Ahlfors started Spring 2018

Solution for Stein and Shakarchi Exercise 1.1(e)

Notes on convergence of complex series, Section 1.2 of Stein and Shakarchi

Boundary behavior of complex series and the Abel limit theorem (corrected)
Assignment 4 Problem 4

Boundary behavior of complex series and the Abel limit theorem (with an error)

Notes on Integration, Section 1.3 of Stein and Shakarchi

Notes on the divergence of complex power series

Partial Solution of Problem 7 of Assignment 2

Second Partial Solution of Problem 7 of Assignment 2    (A much better one: Half as long!)

Third Partial Solution of Problem 7 of Assignment 2    (Less than a page!)

The Geometric Series and Boundary Behavior of Complex Power Series

Quadratic Equations (under construction)

Cauchy's Theorem(s) (under construction)

Solutions Assignment 3

McCuan's homework

Isometric embedding of Riemann surfaces (Osserman)

Besicovich density (Tatiana Toro)

Rouche's Theorem

Fourier Transforms

On decay conditions

Embedding Riemann Surfaces

Grading Scheme:

Assignment 1 10%
Assignment 2 10%
Assignment 3 (Exam 1) 10%
Assignment 4 10%
Assignment 5 10%
Assignment 6 10%
Assignment 7 (Exam 2) 10%
Assignment 8 10%
Assignment 9 10%
Assignment 10 (Final Exam) 10%

(Below 60% F; 60-69% D; 70-79% C; 80-89% B; 90-100% A)

Syllabus

Lecture Schedule and Homework

Scoring of homework assignments

Administrative Details for Spring 2022

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