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451 Course Webpage Spring 2015

Abstract Algebra II
Mathematics 452 — Spring 2013

Prof. Weibel (640:351)

Rigorous study of abstract algebraic systems including groups, rings, and fields. For students preparing for graduate study in the mathematical sciences.

Lectures: MW6 (5:00-6:20PM) in ARC 108

Text: Michael Artin; Algebra (second edition); Prentice-Hall, 2011 (560 pp.); (ISBN: 0-13-241377-9; ISBN13: 9780132413770)

Weibel's Office hours

Homework: Suggested homework problems are listed in the schedule of lectures below. One homework problem (marked *) will be collected each week. I will be happy to answer homework-related questions anytime.

 

Tentative Course Syllabus

WeekLecture datesSectionsSuggested HW
1 1/23 3.1-3.4 Ch.3 #2.1,2.3,3.2,4.2, *3.4.18*
2 1/28, 30 3.5-7, 4.1-3 Ch.4 #1.2,1.4, *2.4*, 3.1,3.3,3.4
3 2/4, 6 4.4-5-6-7 Ch.4 #4.1,4.2,4.6, 5.1(b), 6.3, *6.5(a)*, 6.9, 7.4,7.7
4 2/11, 13 11.1-11.4 Ch.11 #1.3,1.7,2.1,3.3, 3.5(b), *3.9*, 3.13
5 2/18, 20 11.4-5-6 Ch.11 #4.3(a,b,c), 5.1,5.3,5.5, 6.2,6.5, 6.8(CRT)
*Find all ideals in R={p/q∈Q:q odd}*
6 2/25, 27 11.7-8-9 Ch.11 #7.1,7.3,8.1, *8.4*,  9.1,9.6,9.9
7 3/4, 6 11.8-9, 12.1-3 Ch.11 #9.4,9.9, *9.11*, 9.12, 
Ch.12 #1.4(b), 2.1,2.2,2.5,2.9
8 3/11, 13 12.3-4-5 Ch.3 #2.8; Ch.11 #1.8,3.4,4.4,6.4,8.3,9.8;
Ch.4 #7.3; Ch.12 #2.4,2.7,3.1,3.6
9 3/25, 27 Review and Midterm cumulative
10 4/1, 3 15.1-4, 15.6 Ch.15 #1.1,2.1,2.3,3.1,3.4,3.9, 4.2,6.3,7.2,7.9
11 4/8, 10 15.5-15.8 Ch.15 #5.1,5.2a,5.4, 6.1,7.5,7.7,7.14, 8.1, *8.2*
*It is impossible to construct a regular 7-gon*
12 4/15, 17 16.1-4 Ch.16 #1.1(b,e),3.1,3.2,3.3, *4.1*
13 4/22, 24 16.5-7 Ch.16 # 5.1(a,c,d), *5.2*,   6.2, 6.3, 7.1, 7.4
13+ 4/26 (Friday) Optional Midterm 15.1 through 16.4
14 4/29, 5/1, 5/6 16.7-10 Ch.16 #7.2,7.4,7.7, *7.11*, *8.1*, 8.4, 10.3,10.7
17 May 10 (Friday) 4-7 PM Final Exam (cumulative)

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