Abstract Algebra
Mathematics 351 — Fall 2013

Prof. Tunnell (640:351)

Tentative Course Syllabus

(homework assignments)

Week Lecture dates Sections Topics
1 9/4, 9/9 1.1-1.3, 2.1-2.3 The integers, congruences and Z/n
29/11, 9/16 3.1-3.3 Rings and their properties
39/18, 9/23 6.1-6.2 Ideals and homomorphisms
49/25, 9/30 3.3, 6.1-6.2 Ideals and homomorphisms
510/2, 10/7 4.1-4.3 Polynomial rings and irreducibility
610/9, 10/14 4.5-4.6 Irreducibility and review on 10/9,Exam 1 on 10/14
710/16,10/21 5.1-5.2 F[x]/I
810/23, 10/28 5.3, 6.3 Quotients of F[x] and R/I
910/30, 11/47.1-7.3 Groups and subgroups
10 11/6, 11/11 7.4-7.5 Group homomorphisms, Lagrange's Theorem
11 11/13, 11/18 7.6-7.8 Normal subgroups and quotient groups
12 11/20, 11/25 8.1-8.3 Topics in Group Theory
13 12/2, 12/4 chapters 7,8 Factorization and Domains, review , Practice Exam II
14 12/9, 12/11 9.1-9.2 Exam 2 on 12/9,
12/20 (Friday) 12-3 PMFinal Exam in SEC 211