MATH 412 syl - 21.11, 21.17, 21.22, 21.26, 21.35, IV:18,19...

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Math. 412. Modern Algebra. Fall 2005/06 Instructor : Igor Dolgachev, 3064 EH, 763-0151 e-mail: idolga@umich.edu, webpage: www.math.lsa.umich.edu/ idolga/teaching.html Textbook John R. Durbin , Modern Algebra: An Introduction. 5th edition, John Wiley and Sons. 2005. Office Hours : M 1-2, W 10-11, F 2-3 Outline of the course : Week Topic Sections HW 1 Sets and mappings I:1, 1-2 1.3-1.6, 1.24, 1.28, 1.29, 2.1-2.6, 2.23, 2.27 2 Operations I: 3-4 3.1-3.8, 3.18, 3.22, 3.32, 4.1, 4.5, 4.10, 4.11, 4.13 3 Groups II: 1-4 5.1-5.12 (even), 6.3, 6.6, 7.1, 7.12, 7.13, 7.9, 8.5, 8.11-8.16 4 Equivalence relations III:9-11 9.5, 9.7, 9.9, 9.11, 9.20, 10.5-10.8, 10.20, 10.15-10.18,11.3, 11.17 5 Integers III: 12-13 12.5-12.8, 12.15-12.18, 13.1-13.4, 13.12, 13.15, 13.16, 13.20 6 Groups IV: 14-15 14.2, 14.7, 14.16, 14.18, 14.19, 14.27, 15.5, 15.12, 15.27 7 Groups IV: 16-17 16.5, 16.6, 16.14, 16.17, 17.1-17.4, 7.11,17.12, 17.29, 8 Homomorphisms V: 21 21.5, 21.7,
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Unformatted text preview: 21.11, 21.17, 21.22, 21.26, 21.35, IV:18,19 18.2, 18.8, 18.10, 18.11, 19.1-19.10, 19.30 9 Quotient groups V:22,23 22.1-22.2, 22.9, 22.10, 22.12, 22.14, 23.6, 23.9, 23.14, 23.19 10 Rings VI:24-26 24.5, 24.10, 24.13, 24.17, 24.22, 25.4, 25.6, 25.12, 26.12, 26.22, 26.14, 26.24 11 Quotient Rings IX:38-39 38.1-38.4, 38.19, 38.20, 39.1, 39.11, 39.12 12 Polynomials VIII:34-37 34.6, 34.8, 34.13, 35.1-35.6, 35.13, 35.18,36.4, 36.23, 37.4, 37.9 IX:40 40.2, 40.6-40.8, 40.16 Homework : collected weekly on Wednesday. Exams : Midterm Exam (to be announced) and Final (December 16, 4:00-6:00 pm). Grades : Homework 35%, Midterm Exam 25%, Final 40% A + 90% , A 85% , A- 80% , B + 75% , B 70% , B- 65% , C + 60% , C 55% , C- 50...
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