Math 6322 Function of one complex variable, Take Home Final Exam
Fall, 2011, Dr. Min Ru, University of Houston
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Warning
: The honor code applies to this exam. You must work alone. You
may consult your notes, books, web, or any other material, but you are not
allowed to talk to or work with anyone else. If you have any question, please
email me.
The due date is Wed., Dec 7, before noon
.
Here is our list of major theorems (not complete) from the semester (in
alphabetical order).
•
Argument principle (for meromorphic functions)
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Big Picard Theorem
•
Bloch’s theorem (about the range of holomorphic functions)
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CasoratiWeierstrass theorem
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Cauchys inequalities and estimates for derivatives
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Cauchys integral formula
•
Cauchys integral theorem
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Goursat’s theorem
•
Hurwitzs theorem
•
Laurent expansion (theorem) for holomorphic functions on an annulus
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•
Liouvilles theorem
•
Little Picard Theorem
•
Maximum modulus theorem
•
Marty’s theorem about normal families
•
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 Summer '08
 Staff
 Math, Dr. Min Ru

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