Math 4320, Complex Analysis, Fall 2011
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For a copy of the course syllabus, click here
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I thought I would start by mentioning to you a few
interesting links: first, click here
for some advice for those planning on attending grad school in mathematics; second, here is an interesting video about how ``algorithms shape our world''; third, here is an inspiring little film about the mathematician Julia Robinson; here is an amusing little TEDxObserver talk by Cedric Villani; lastly, here is an article about how computational
complexity, a branch of mathematics (and CS), will affect philosophy
in the coming decades.
Homework #1 (due Wednesday, September 7 at the end of class).
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Page 12, #3, 4.
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Page 15, #9.
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Page 23, #6, #9.
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Page 29, #1, #2.
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Page 33, #4, #9.
Homework #2 (due Monday, September 26).
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Page 37, #1.
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Page 55, #2.
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Page 63, #8.
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Page 72, #6, #10.
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Page 78, #7.
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Page 81, #1.
Homework #3 (due Wednesday, Oct. 12).
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Page 87-88, #1, #5.
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Page 92, #3, #6.
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Page 97, #4, #8.
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Page 100, #5.
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Page 104, #7.
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Page 109, #12.
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Page 114, #2.
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Page 135, #1, #6, #9.
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Page 140, #1, #3, #6.
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I had thought about giving you a study sheet... but since we
have pretty much followed the book, I don't think there is really any
need. Let's say that midterm 1 will cover all material we covered in
class up to and including the proof of the Cauchy-Goursat Theorem and the
corollary on ``path deformation''. Anything coming AFTER that section
in the text will not be on your exam.
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If you are planning on attending grad school in the near
future, I encourage you to apply for an NSF graduate fellowship.
See THIS FILE for details.
Homework #4 (due Friday, November 4).
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Page 149, #4.
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Page 160-163, #1, #4, #7.
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Page 170-172, #2, #6.
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Page 178-180, #1, #3, #8.
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Page 188, #2.
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Page 196-197, #3, #10.
Homework #5 (due Monday, November 28).
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Page 206, #4.
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page 219-220, #1, #4, #5.
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Page 225, #3.
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Page 239-240, #1, #2.
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Page 248, #1, #2, #3.
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Page 255-257, #3, #6, #7, #10.
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Click here
for a short video on how to think about Linear Fractional Transformations
in terms of spherical motions.