MATH 331: Complex Analysis
James Cook's Complex Analysis Homepage

Course Materials for Fall 2018:
For a day by day overview of our course see:

• Fall 2018 Complex Analysis Course Planner
• Complex Analysis Lectures of Fall 2018 this is the playlist for our course on my You Tube channel, enjoy.

• More Than Complex Analysis: (these are a work in progress)
1. Complex Analysis Lectures of Fall 2015 this is the playlist for the rather standard course I taught in 2015 from Gamelin's text, enjoy.

2. In the Fall 2015 semester we used Gamelin's Complex Analysis as the required text. For the most part, his approach aligns closely with out aims, but, I have some examples to add in many sections. Also, I have added a fair number of historically significant quotes and pointers to rigorous treatments of various topics as found in Reinhold Remmert's Complex Function Theory. You should read Gamelin before my notes for most sections. Enjoy:

3. Guide to Gamelin's Complex Analysis (updated November 11, 2014)

4. I am fairly happy with these notes, however, some of the sections towards the end could use a few more proofs. If you would like the LaTeX source file for these notes feel free to ask me for the file. In Fall 2015 semester I think we'll cover Chapter IV on hyperbolic geometry and we may drop some of the material on infinite products depending on the interest of the class.

6. Infinite Series and the Residue Theorem by Noah A. Hughes (a student who worked with my brother at ASU)
7. Gamma Function some notes from Gamelin Chapter XIV Section 1.
8. Homeworks assigned in Fall 2015 semester:

Course Notes from Spring 2013:
I collect here the documents which comprise complex analysis of the Spring 2013 semester. We follow, roughly, Chapters 1-3 of Frietag and select topics of Chapter 4. However, it's more accurate to say we covered most of Churchill or Saff and Snider. Marsden, Gamelin, Alhfors, Albowitz and Fokas also contributed to our thinking. I hope to produce a more coherent set of notes with greater analytical depth when I next teach this course. If I teach the course in 2014 then I will likely use Gamelin for the text.
Solutions to Homework of 2013 and 2014:

Tests and Solutions from 2013:

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