# Homework for Math 421, Abstract Algebra, Fall 2016

Due DateReadingAssignmentmore notesLast updated
1Sept 1Chapter 0No HW due. 2016-08-23 Tue
Mathematics of the Rubik's cubeOptional
"Group Think" by Steven StrogatzOptional
2Sept 8Chapter 0Ch 0: 6, 8, 12, 16 20, 24, 38, 58, 60Hand in 2016-08-31 Wed
Ch 0: 1-5, 9, 11, 15, 19, 21, 23, 31, 35, 39 45, 57, 65Optional
See your notes for exercises from the class.Optional
For instance, do the “uniqueness” part of the proof of the Division AlgorithmOptional
3Sept 15Chapter 1,2Ch 1: 2, 4, 12, 18Hand in
Ch 2: 1-15 odd, 19, 23 - 29 odd, 33 - 37 odd, 41 - 51 oddOptional
(No proof for these) 2, 4, 6, 10, 12, 30, 32Hand in
(Proof required) 20, 26, 48, 52Hand in
4Sept 22Chapter 3Ch 3: 1, 5, 9, 13, 15, 17, 19, 21, 23, 25, 27, 33-37 odd, 45, 51, 53, 57, 59, 61, 79, 69Optional
Ch 3: 4, 14, 20, 34, 58, 78Hand in
5Sept 29Chapter 4Ch 4: 3, 5, 9, 13, 21 - 35 odd, 41, 43, 49, 53, 55, 59, 63, 69, 73, 77Optional
Ch 4: 14, 16, 20, 22, 24, 30, 38, 40, 62Hand in
6Oct 6Chapter 5Ch 5: 4, 8, 10, 22, 26, 28, 32, 46, 48, 58Hand in
1 - 11 (odd), 15, 19, 23, 27, 29, 35, 37, 41 - 49 odd, 57, 61, 65, 69, 71, 79Optional
Oct 11No class on Mon and TueFall break
7Oct 13Chapter 6Ch 6: 2, 4, 6, 24, 30, 50, 52, 60, 62, 66Hand in
8Oct 17OH on Monday, 4-6
Oct 19No OH on Wed
Oct 20ExamCovers Chapters 1-6
9Oct 27Chapter 7Ch 7: 6, 10, 12, 14, 22, 26, 28, 30, 34, 36, 38, 40, 46, 48, 50, 52, 54
10Nov 3Chapter 8Ch 8: 12, 14, 26, 30, 36, 38, 40, 46, 52, 70, 72, 76Hand in
Ch 8: 1 - 7 odd, 11 - 23 odd, 27 - 33 odd, 43, 45, 53, 55 (this takes some work), 63Optional
11Nov 10Chapter 9Ch 9: 2, 10, 14, 32, 38, 50, 52, 56, 58, 62, 70, 72Hand in
Ch 9: 1, 3, 7, 9, 10, 11, 13, 17, 19, 27, 37, 39.Optional
Nov 16No OH today, DZB out of town
Nov 17HW due date moved to Tue, Nov 22.
Nov 21Monday office hours canceled
12Nov 22HW due Dec 1Ch. 9: 12, 48, 66Hand in
Ch. 10: 30, 32, 42, 46, 56, 58, 62, 66Hand in
Ch. 10: 1 - 7 (all are basic and important); 9, 11 - 17; 21, 25 - 31Optional
Nov 24No class on ThursdayThanksgiving
13Dec 1Final assignmentCh. 11: 1 - 17 odd, 21, 23, 27, 31Optional
OK to turn this in lateCh. 11: 10, 18, 22, 24, 28, 30, 32, 34, 36, 38Hand in
Dec 6Last day of Class
Dec 7Extra Office Hours2-4 pm E408
Dec 8Final exam, 8amPotential bonus problems for exam