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The end-of-semester class schedule looks like this:
Textbook: Complex Analysis, 3rd edition, by Lars Ahlfors. I am aware that the book is fairly pricey but if cost is an issue, please note that used copies are pretty readily available.
This course essentially covers the material for the graduate qualifying examination in complex analysis; please see that web page for a list of topics.
Familiarity with real analysis at the level of Math 532 will be assumed. It is usually not advisable to take Math 633 if you have previously taken Math 333, as there is significant overlap in material (though our course is taught at a more advanced level). If you have questions about prerequisites, please consult me.
There will be weekly homework assignments and a take-home final exam.