Homework Assignments for MATH 332
Spring 2009


Date Chapter Assignment(s) Due Date
1-26 12 AR---Read Chapter 12 (You might be able to skim parts that are familiar.)
HW---pp. 241-243: 5, 6, 7, 12, 17, 28, 29, 49
PA #1---pp. 241-243: 4, 8, 22, 44, 50
1-28
--
2-2/2-4
1-28 12 AR---Read Chapter 13 (You might be able to skim parts that are familiar.)
HW---pp. 241-243: 9, 10, 14, 15, 19, 23, 27, 35, 36, 39, 42, 43, 45, 46, 52
2-2
--
2-2 12/13 pp. 254-256: 1, 5, 6, 7, 8, 30, 38
PA #2---pp. 241-242: 18, 32, 40
--
2-11
2-4 13 AR---pp. 261-265: Ideals, factor rings
HW---pp. 254-256: 2, 9, 10, 11, 14, 15, 17, 19, 20, 21, 23, 31, 33, 34, 37, 54
2-9
--
2-9 .
13
14
.
AR---pp. 266-268: Prime ideals and maximal ideals
HW---pp. 255-256: 24, 29, 41, 43, 49, 51
HW---pp. 268-271: 1, 2, 10, 11, 13, 17, 18, 19, 27, 39, 51
PA #3---pp. 255-257: 18, 26, 46, 48; pp. 268-271: 4, 12, 14, 16, 58
2-11
--
--
2-16/2-18
2-11 14 AR---Definition and examples, properties of ring homomorphisms: pp. 278-284
HW---pp. 268-271: 6, 22, 29, 32, 33, 35, 37, 43 (see 42), 45, 47
2-16
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2-16 14 AR---pp. 284-285 (The field of quotients)
PA #4---p. 270: 28, 36, 42
2-18
2-25
2-18 15 AR---pp. 291-294 (Notation and terminology)
HW---pp. 286-288: 1, 4, 7, 11, 13, 17, 26, 29, 31, 43
2-23
--
2-23 15 AR---pp. 294-298 (The division algorithm and consequences)
HW---pp. 287-289: 15, 16, 24, 21, 38, 41, 51, 53, 59, 61
PA #5---pp. 286-289: 8, 22/23, 30, 42, 50, 60
2-25
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3-2/3-4
2-25 15/16 HW---pp. 298-299: 1, 2, 9, 11, 13, 17, 15, 24, 29, 37 --
3-2 Questions None --
3-4 16 AR---pp. 303-306 (Reducibility Tests)
HW---pp. 299-301: 3, 5, 19, 26, 27, 39, 42
PA #6---pp. 299-300: 12, 22, 30, 36, 38
3-9
--
3-23/3-25
3-9 Review Exam 1 (Take-home) 3-12
3-11 17 AR---pp. 306-311 (Irreducibility Tests)
HW---pp. 315-316: 3, 5, 11, 12, 13, 21, 29, 31
3-23
--
3-23 17 AR ---pp. 320-323 (Irreducibles, Primes) 3-30
3-25 Projects None --
3-30 17 AR---pp. 323-326 (Historical discussion of Fermat's Last Theorem)
HW---pp. 315-317: 6, 7, 8, 15, 17, 22, 23, 25, 28
PA #7---pp. 3126-317: 10, 14, 18, 24, 26, 30
4-1
--
4-6/4-8
4-1 17/18 AR---pp. 326-333 (Unique Factorization Domains, Euclidean Domains)
HW---pp. 333-334: 1, 2, 5, 10, 13, 17, 21, 28, 29, 31
4-6
--
4-6 Questions, etc. HW---pp. 333:3
PA #8---pp. 333-334: 4, 6, 22
--
4-15
4-8 18 AR--pp. 343-347 (Chapter 19)
HW---pp. 333-335: 7, 9, 11, 15, 20, 25, 30, 33, 38, 39
4-15
--
4-15 19 AR--pp. 352-360 (The Fundamental Theorem of Field Theory, Splitting fields)
HW---pp. 347-349: 3-9 odd, 13, 15, 19, 27, 29, 31
PA #9---pp. 333-334: 12, 32; pp. 347-349: 6, 10, 18, 30
4-20
--
4-20/4-22
4-20 19/20 AR--pp. 361-365 (Zeros of an irreducible polynomial)
HW---pp. 365-366: 1-11 odd, 29
4-22
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4-22 20 HW pp. 366-367: 15, 17, 21, 25, 27 --
4-27 Review None --
4-29 Review Exam 2 (Take-home) 5-4
5-4 20 AR---pp. 375-377 (Properties of algebraic extensions)
HW---pp. 366-367: 13, 14, 18, 19, 31, 33
PA #10 (Extra Credit)---pp. 366-367: 20, 28, 32
5-6
--
5-12
5-6 21 None --
Future Assignments (tentative) -- only for those who want to work ahead!
5-12 Projects Presentations 4-6pm
There will not be any presentations for the extra credit PA #10. Solutions for all the problems are due on at the beginning of final presentations on Tuesday, May 12.


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