AMAT 327: Abstract Algebra
Fall 2016, Lectures/Homework Problems
Lecture 1 (Monday 8/29), Section 1.3, Homework 1.3: 2,7,10.
Lecture 2 (Wednesday 8/31), Section 1.4, Homework 1.4: 4,5,9a
Lecture 3 (Friday 9/2), Section 1.7, Homework 1.7: 3,4,11a
Lecture 4 (Wednesday 9/7)
Quiz 1
Section 2.1. Homework 2.1: 1,2
Lecture 5 (Friday 9/9) Section 2.1 (cont). Homework 2.1: 8,9,write the multiplication table for the dihedral group with 6 elements,18
Lecture 6 (Monday 9/12) Section 2.1 (cont.) and 2.1. Homework 2.1: 20,22.
Lecture 7 (Wednesday 9/14)
Quiz 2
Section 2.3. Homework 2.3: 1,2,3,4.
Lecture 8 (Friday 9/16) Section 2.3 (cont.) Homework 2.3: 8,13
Lecture 9 (Monday 9/19) Section 2.4.
Lecture 10 (Wednesday 9/21)
Quiz 3
Section 2.4 (cont.) Homework 2.4: 5,7,9
Lecture 11 (Friday 9/23) Section 2.4 (cont.) Homework 2.4: 14
Lecture 12 (Monday 9/26) Section 2.4 (cont.) Homework 2.4: 17
Lecture 13 (Wednesday 9/28) Quiz 4, Section 2.5. Homework 2.5: 1,3
Lecture 14 (Friday 9/30) Section 2.5 (cont.) Homework 2.5: 13,24
Lecture 15 (Wednesday, October 5) Section 2.5 (cont.)
Lecture 16 (Friday, October 7) Quiz 5, Review for Exam 1.
Lecture 17 (Monday, October 10) Exam 1
Lecture 18 (Friday, October 14) Section 2.9: Homework 2.9: 2,3
Lecture 19 (Monday, October 17) Section 3.1: Homework 3.1: 1c, 2b
Lecture 20 (Wednesday, October 19) Quiz 6, Section 3.2: Homework 3.2: 3c,15
Lecture 21 (Friday, October 21) Section 3.2: Homework 3.2: by using decomposition into disjoint cycles find the order of U^2 R^2 in Rubik's cube group, 17
Lecture 22 (Monday, October 24) Section 3.3
Lecture 23 (Wednesday, October 26) Section 3.3: Homweork 3.3: 5,6, show that A_n is generated by 3-cycles (123),(234),...,(n-2 n-1 n).
Lecture 24 (Friday, October 28) 15 Puzzle. Homework:
Lecture 25 (Monday, October 31) Section 4.1 Homework 4.1: 4,6
Lecture 26 (Wednesday, November 2) more about 15 puzzle and rings
Lecture 27 (Friday, November 4) Section 4.1 Homework 4.1: 9,13c,16
Lecture 28 (Monday, November 7) Section 4.2 Homework 4.2: 2,3
Lecture 28-29 Review and Exam 2
Lecture 30 (Wednesday, November 16), Section 4.5 Homework 4.5: 1,2,3
Lecture 31 (Friday, November 18), Section 4.5 Homework 4.5: 6
Lecture 32 (Monday, November 21), Section 4.5 Homework 4.5: 8,10,11
Lecture 33 (Monday, November 28), Section 4.5 Homework 4.5: 9
Lecture 34-35 Section 4.5-4.6
Lecture 36, Section 4.6 Homework 4.6: 1,2,3,4,5