Math 511 Class notes
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| Jan 14- Jan 18 : | ||
| PP's: (Practice Problems) : p. 2: 1,2,6; p. 4: 1 p. 5: 1, 2c, 5, p. 10: 2, 3 Also, Graph the set -1 < Re {(z-(1+2i))/(1+i)} < 0.
PP's: p. 13: 2, 4, 10a
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| Jan 23- Jan 25: | ||
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PP's: p. 17: 3
Homework 1 is due next friday. See 511 homepage for assignment.
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Jan 28 - Feb 1 |
PP's: p. 24: 6; p. 28: 2,3,4; p. 33 6a,d, p. 44: 4,6,8
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Feb 4 - Feb 8 |
PP's: p. 43 2; p.44:9,11,12,14
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Feb 11 - Feb 15 |
HW 2 is due monday Feb 18 PP's: p. 54: 5,6, 21, 22, 23
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Feb 18 - Feb 22 |
More PP's: p. 55: 14, 17, 18
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Feb 25- Feb 29 |
PP's: p. 67: 5,7, 10, 11, 19, 22, 23;
p. 74: 5,6,7,9,10;
p. 80: 1,3,4,5,6
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March 10- March 14 |
PP's: P. 83: 3; p.87: 5,6, 7, 8;
p. 96: 5,6,7, 10, 11
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March 17- March 21 |
PP's: p.99: 3,4; p. 110: 1 aehj, 2, 4, 5
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March 24- March 28 |
Monday 3-31 is a practice problem day for PP's from page 83
through page 99 listed above. Also there will be a short quiz on one of these
practice problems at the end of the hour.
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March 31 - April 4 |
Turn in Monday (4-7): p. 110 5, 13; p. 121 1c, 2c,g
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Through April 11 |
PP's: p. 129: 2, 6,7; p. 132: 1,2,5,6,7,8
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Through April 18 |
Last HW: p, 122 9, p. 138 5, p. 141 5, Also you have two qualifier problems (assigned in class). Here is the link to the analysis qualifiers: www.math.iastate.edu/For/GradExamArchive.html. You can turn in a third qual problem for e.c. if you want. In addition you should be prepared to present a solution to at least 1 problem to the class. The last week of classes will be mostly presentations on problems.
The above HW and 2 qual problems are due Mon. 4-28.
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Through April 25 |
The final exam is FRIDAY 7:30 - 9:30 am of finals week.
Regarding last HW (Due monday) With prob. 5 p. 141 there is a typo: You should prove |f| is bounded by M in G not boundary G.
Also, problem 5 p. 138 seems to be a tough problem. So at least find
necessary and sufficient conditions on M(r) for equality to hold
in the 3 circle theorem and find examples of analytic functions that
satisfy this condition.
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Through end of semester |
The final exam is FRIDAY 7:30 - 9:30 am in the usual classroom.
No calculator or notes are allowed for the final. Therefore you should be prepared to recall the definition of cross-ratios, automorphisms of the disk, Cauchy integral formula, Cauchy-Riemann equations, etc. for the test. All questions are primarily from Chapters 3-6, although ideas from Chapters 1 and 2 may be useful. Chapter 4.1 also mainly for defining integration and is not the main point of any test problem. There are no test problems on either the 3 circle theorem or the Phragmen-Lindelhof theorem. |