12:00PM--12:50PM MWF Taft Hall 204
Office Hours: 1--2 M, SEO 531; 9--11:40 MWF, SEO 341; 2--3 M, SEO 341; or by appointment.
Daily assignments,... and Comments updated periodically; last update 10/23/08
Text and Author: Abstract Algebra, by David S. Dummit and Richard M. Foote.
Basic topics covered: Structure of groups, Sylow theorems, solvable groups; structure of rings, projective and injective modules, finitely generated modules over a PID.
Credit hours: 4 graduate
hours.
Prerequisites: Math 330 and 425.
Grading:
Hour Exam 30%
Homework 30%
Final Exam 40%
Homework: Written assignments due on at the beginning of class on indicated dates. No late homework accepted. Solutions to written homework problems will be posted on the course homepage.
It is suggested that you do as many of the practice problems in the text as you can. These are NOT to be turned in.
Academic Honesty: Students are expected to be thoroughly familiar with the University's policy on academic integrity. See the Guidelines Regarding Academic Integrity section in the 2005-2007 Undergraduate Catalog. The University has instituted serious penalties for academic dishonesty. We have encouraged you to work with your classmates on homework. Regarding written assignments, hour exams, and the final examination: Copying work to be submitted for grade, or allowing your work to be submitted for grade to be copied, is considered academic dishonesty.
Students with Disabilities: It is University policy that students with disabilities who require accommodations for access and participation in this course must be registered with the Office of Disability Services (ODS); phone number 312-413-2103.
Syllabus
Roughly Chapters 1--10, 12.
Daily Assignments,Test Schedule, and Comments
Week
Date Sections
Practice Problems and Comments
1
08/25 1.1--1.3
1.1: 1(a)--(c),
6(d)--(f), 7, 9; 1.3: 6, 7.
Skip ``Generators and Relations".
08/27 1.3--1.5 1.4: 2, 4, 8, 11; 1.5 1, 2
08/29 1.6--1.7 1.6: 1, 2, 4, 10, 18, 19;
1.7: 3, 8, 11, 17
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2
09/01 **** holiday, no classes *****
09/03 2.1--2:2
2.1: 2(a), 6, 10; 2.2: 3, 6,
14
09/05 2.3
2.3: 1, 2, 10, 13, 24
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3
09/08 2.3
09/10 2.3--2.4 2.4: 2, 3, 6, 14
09/12 2.4--2.5
2.5: 6(c), 9
Homework 1 due at beginning of class
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4 09/15
3.1 3.1: 1, 6, 8, 11, 14(a)(b), 22, 28, 30, 35
09/17 3.2--3.3
3.2: 1, 4, 6, 7, 8, 18
09/19 3.3, 3.5 3.3: 7
Page 103 of 3.5
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5
09/22 4.1--4.2 4.1: 1, 2, 7, 9; 4.2: 8, 12, 13
09/24 4.3 4.3: 5, 6, 10, 13, 25, 30
09/26 4.4--4.5 4.4: 1, 6, 7, 13
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6
09/29 4.5 4.5: 1, 6, 13, 15, 30
10/01 4.5--4.6
10/03 5.1 5.1: 1, 4, 18
Homework 2 due at beginning
of class
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7
10/06 5.2 5.2: 1(a)(e), 2(a)(c), 3(a)(c), 6, 9
10/08 5.3
10/10 5.4
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8 10/13
5.5 5.5: 1, 11, 21
10/15 6.1 6.1: 1, 4, 6, 12, 13
Basically definitions
10/17 HOUR TEST
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9
10/20 6.3 6.3: 5, 6
Discussion of results
10/22 7.1
7.1: 2, 4, 5, 7, 9, 14, 15, 21 (Show P(X) and
Fun(X, Z_2) are isomorphic as rings.)
10/24 7.2 7.2: 3, 4, 5 ( relate F[[X]] and F((X)) ), 12
Homework 3
due at beginning of class
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10
10/27 7.3 7.3: 1, 5, 6, 11, 12, 15, 19
10/29 7.4 7.4: 1, 5, 8, 15
10/31 7.4
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11 11/03
7.5 7.5: 1--5
11/05 7.6
7.6: 1--4
11/07 8.1 8.1: 1--3, 4(a), 6
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12
11/10 8.1--8.2 8.2: 1--3, 7
Omit Proposition 9 of 8.2
11/12 8.3 8.3: 1, 2
Through Corollary 5
11/14 9.1
9.1: 4--6, 13
Homework 4 due at beginning of class
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13 11/17
9.2 9.2: 1--4, 8
11/19 9.3 9.3: 1--3
11/21 9.4 9.4: 1--5, 7
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14 11/24
9.4
11/26 9.5 9.5: 3, 4, 7
11/28 **** holiday, no classes *****
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15
12/01 10.1 10.1: 1--9
12/03 10.2--10.3 10.2: 1--3, 8; 10.3: 1--5
12/05 12.1 12.1: 1, 2, 7
Discussion of Theorem 5 and consequences
Homework
5 due at beginning of class
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16 12/09
Final Examination 8AM--10AM
The syllabus for the final examination is
Chapters 1--12 as indicated above.
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Last updated October 23, 2008 by David Radford