M361 Homeworks

***ALWAYS SHOW ALL WORK ON HOMEWORK.
Homework assignments listed here are subject to change until I have written
them on the board in class.
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Homework due 9/8

Section 1.1: 1(c), 2(b), 3(b), 10(a)
Section 1.2: 2(a), 10, 14, 17
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Homework due  9/15

Section 1.3: 3(b), 6(a), 7(a), 9, 10
Section 1.4: 12
Section 1.5: 1, 9, 10
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Homework due  9/22

Section 1.6: 3, 8
Review Exercises, Chapt 1: 6, 16
Section 2.1: 2 (Look at worked examples in text), 4
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Homework due  9/29

Section 2.1: 7(a), 13
Section 2.2: 5
Section 2.3: 8, 10

For Section 2.2: 5, use 1/(z^2+z+1)=1/(z-r_1)(z-r_2)=C[1/(z-r_1) - 1/(z-r_2)]
where r_1, r_2 are the roots of z^2+z+1.
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***Test 1 (9/29) covers thru Section 2.2 (not all of 2.2, just Cauchy's thm.)
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Homework due 10/6

Section 2.4: 2, 4, 5
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                   *** NOTICE ***
Students interested in the Putnam Exam (a national math competition for
undergraduates) should contact Lorenzo Sadun (RLM 9.114 TTh 8:15-9:15, W 9-11)
or Gary Hamrick (RLM 8.100 M-F 11-12) for information as soon as possible.
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Homework due  10/13

Section 2.4: 3, 8, 12, 14, 16
Section 2.5: 2, 3
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Homework due  10/20

Rev. Exercises Chap 2: 6 (pg 202 in my book; may take a little thought...)
Section 3.1: 12 (Show series converges uniformly in |z|>a if a>0), 20
Section 3.2: 2, 8, 20

Note: If we haven't covered all the relevant material before 10/20, then
you can hand this assignment in on 10/22 (Thursday).
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Homework due  10/27

Section 3.3: 2, 6, 16, 18
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Homework due 11/3

Review Exercises, Chapt 3: 10, 12, 26, 38
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***Test on 11/3 covers through Chapter 3.
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Homework due 11/10

Section 4.1: 2, 3, 8, 9
(Use power series or other simple arguments to compute the residues.
No tricky formulas are necessary...)
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Homework due 11/17

Section 4.2: 4, 6, 8
Section 4.3: 1(show work), 4
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Homework due  11/24 (Last one!)

Section 4.3: 5, 7, 16, 23
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Before Final

Suggested problems:  

(Don't hand these in.)

Section 5.1: 11
Section 5.2: 6, 8
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Last Exam Coverage (Probable)

The parts of 4.1-4.3 covered in class
The parts of 5.1-5.2 covered in class
(Your class notes should indicate was we covered!)
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***NOTE: WE ARE NOT HAVING A FINAL EXAM DURING THE FINALS PERIOD.
TEST 3 ON 12/3 IS THE LAST TEST FOR THE COURSE.
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C.Friedman
Math.Dept. RLM 8-100
University of Texas
Austin, TX 78712
Phone(Office): 512-471-5161

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