Syllabus updated
Instructor:A.Libgober
Office:SEO 413
Office hours:MW 1-2 or by appointment
Hours:
The course meet MWF 12-1 at 306 Addams Hall
Purpose of Course: The aim of the course is to introduce students to the basic abstract algebraic structures such as groups, rings and fields. Students will be expected to read the text and comprehend proofs, as well as to do problems involving both computations and proofs.
Credit hours: 4
Prerequisites: Grade of C or better
in Math 215 and Grade of C or better in Math 320.
Text: J. Gallian,
Contemporary Abstract Algebra, 7th edition.
Grading:
Hour Exams (2) 60%
Homework 10%
Final Exam
30%
Homework: Homework listed for each week is due on Wednesday of the next week at the end of class. No late homework accepted. Several lowest grades will be dropped.
The listed homework does not cover all of the important topics of the course and it does not allow for enough practice. It is suggested that you do as many of the odd numbered problems as you can. Their solutions can be found in the back of the text book.
Academic Honesty: Students are expected to be thoroughly familiar with the University's policy on academic integrity. See page 56 of the 2001-2003 Undergraduate Catalog. The University has instituted serious penalties for academic dishonesty. We have encouraged you to work with your classmates on homework. Regarding homework, quizzes, 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.
Course Topics
A brief review of sets, mappings
and equivalence relations.
Properties of integers.
Groups: Subgroups, homomorphisms, cyclic
groups, permutations, matrix groups, cosets,
Lagrange's Theorem, normal subgroups and factor groups.
Rings: Integral domains, homomorphisms,
ideals, factor rings, polynomial rings, factorization of polynomials.
Fields: Finite extensions and their connection with polynomial rings,
construction of finite extensions, application to geometric constructibility problems.
Chapters 1-4, all pages
Chapter 5, p.95-110; Ch 6, p.122-133; Ch 7, p.1348-144;
Chapter 8, p.155-161; Ch 9, p.178-188; Ch 10, p.200-211
Chapter 12, p.237-242; Ch 13, p.249-253; Ch 14, p.262-269;
Ch 15, p.280-287; Ch 16, p.293-300; Ch 17, p.305-314
Chapter 20, p.354-359; Ch 21, p.370-376
Chapter 23, p.393-396
Week Date
Pages
Problems and Comments
1
08/24 0: 3--7
21: 2, 6, 15, 16
08/26 0: 7--15
22: 22,23
08/28 0: 15--22
24: 54,55
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2
08/31 1: 29--35
22: 24
35: 10,11
09/02 2:
42--48
52: 3,4,5
09/04 2:
48--50
53: 19,20,24,25
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3
09/07 **** holiday, no classes
*****
09/09 3: 57--59
65: 6, 10;
09/11 3: 60-62
66: 23,27
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4
09/14 3: 63--64
68: 41,49
09/16 4:
72-74
82: 16, 21
09/18 4: 74--76
85: 53, 62
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5
09/21 4: 77--81
84: 48, 55, 59
09/23 5: 95--100
114: 5, 6
09/25 5: 101--106
115 : 27, 28
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6
09/28 5: 107--113
116: 43,44.
09/30 6: 122--126
133: 5, 6.
10/02 6:
127-128
135: 27, 28.
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7
10/05 6: 129--131 136: 43, 44
10/07 6:
132--133 135: 38,39,40.
10/09
TEST I
(covers Chapters 0--5 on syllabus)
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8
10/12 7: 138--144 146: 19,21,22,30.
10/14 8:
155--159 168: 20,26,34;
;
10/16 8:
159--151 169: 42,46.
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9
10/19 9: 178--185 187: 19,23, 27, 28.
10/21 9: 185--192 187: 30,33,34.
10/23 10: 200--206
212: 11,12.
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10 10/26
10: 206-210
213: 33,35,40,53,54.
10/28 12: 237--242;
243: 19,23,40
10/30
TEST II
(covers Chapters 6--10 on syllabus)
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11 11/02
13: 249--255
255: 10,13,16,20,25,40,45,53.
11/04 14: 262--266 269: 12, 28, 33,36.
11/06 14: 267--269 270: 22,30,35,39.
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12 11/09
15: 270--277
280: 50,54,63.
11/11 16: 293--296 301: 12,18,33.
11/13 16: 296--300 302: 30,42.
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13 11/16
17: 305--308
317: 10,12,14.
11/18 17: 308-314 318: 25,30.
11/20
20: 354--359
367: 2,4,6,7
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14
11/23
TEST III
(covers Chapters 6--17 on syllabus)
11/25 21: 370--375
378: 3,5,8,24.
11/27 **** Thanksgiving holiday, no classes
*****
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15
11/30 21: 375--378
12/02 23: 393--396
12/04 **** Review
*****
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16 / Final
Examination Tuesday 12/08/09 8AM--10AM TBA
The syllabus for the final examination is Chapters 0 --- 17 as
indicated above. Also see Commentary
for the Final Examination . You will have plenty
of written materials to draw on at this point. There will be 8 multiple
part questions on the final.
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Last updated January