Complex Analysis
Office: F427 Fenton Building
Phone: (617) 994-6897
Email: aglesser@suffolk.edu
Office Hours: WTh, 1:00-2:00, and by appointment
Class Meetings:
481: TTh 2:30--3:45, Fenton 623
W 3:00--3:50, Fenton 623
I recommend the following text:
Would you like to see your grades? Try here. The Main page has the overall class statistics, while the Scores page will have your itemized scores (you can choose between the two views on the bottom of the spreadsheet). Miss a lecture? I will try to post summaries after each lecture. Included will be any assigned reading. You can always find the homework in the file cabinet.
Lecture Summaries
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Thursday, October 29
Posted Nov 2, 2009 11:13 AM by Adam Glesser
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Wednesday, October 28
Posted Nov 2, 2009 11:13 AM by Adam Glesser
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Tuesday, October 27
We defined the fundamental group of a domain and showed that a domain is simply connected if and only if its fundamental group is trivial. We then proved (at least in a special case) the homotopy invariance theorem that says integrating an analytic function around homotopic loops gives the same result. Cauchy's Integral Theorem is an immediate corollary. |
Posted Nov 2, 2009 11:12 AM by Adam Glesser
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Thursday, October 22
We completed our proof of the theorem that shows the equivalence of a function being continuous and antidifferentiable on a domain with the function having vanishing integrals over loops in the domain and integrals of the function in the domain being dependent only on the endpoint. We then defined simply connected domains and homotopic paths and stated Cauchy's integral theorem. |
Posted Oct 26, 2009 2:01 PM by Adam Glesser
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Wednesday, October 21
We gave an example of using the theorem from yesterday that highlights the need to be careful when using the Log function. We also stated a theorem that showed several conditions equivalent to a function being antidifferentiable on a domain. |
Posted Oct 26, 2009 2:04 PM by Adam Glesser
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Class Announcements
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Final project schedule
I've updated the final project page with the schedule. |
Posted Nov 18, 2009 6:08 PM by Adam Glesser
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Homework correction
On the most recent homework, there was a repeat of last week's bonus problems. I've updated the homework to contain the correct bonus problems. That is all. |
Posted Nov 18, 2009 6:00 PM by Adam Glesser
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Power series homework
The new homework is up. It is due December 1. |
Posted Nov 16, 2009 12:10 PM by Adam Glesser
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The newest homework is up
Check out the filing cabinet for Homework 8. |
Posted Nov 11, 2009 11:36 AM by Adam Glesser
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Homework 7 available
Homework 7 is up in the file cabinet. It is due November 14. |
Posted Nov 2, 2009 12:22 PM by Adam Glesser
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