Math 504, Abstract Algebra I, Fall 2009

(last update: 7 Dec 2009)

R. D. Maddux


Mailing Address:
Department of Mathematics
396 Carver Hall
Iowa State University
Ames, Iowa 50011, USA

Office: 418 Carver Hall
Telephone: (515) 294-8134
Fax: (515) 294-5454
E-mail: maddux@iastate.edu


Office hours (for now, Fall 2009): MWF 10:00-10:50 am, TR 1:10-2:00 pm
Math 504 meets in 8 Carver Hall at 12:10-1:00 pm on Monday, Wednesday, and Friday.
Text: Abstract Algebra, Third Edition, Wiley, 2004,
by David S. Dummit and Richard M. Foote,
published by John Wiley \& Sons, Inc., 2004, xii+932pp.

I will try to cover the first semester of the one-year course outlined on page xi.

A list of abbreviated titles of all the sections involves appears here as a (tentative) syllabus


numbers of groups of orders 1 to 2015


proofs of Sylow Theorems


some Peano arithmetic


The current plan is to

(1) assign homework problems each week, due on Wednesday, some for grading, many for study.

(2) give one exam in class,

(3) give one cumulative final: possibly on Tuesday, Dec 15, 12-2pm (check the ISU finals schedule)


HW#1 Due 9/2/09: prove Prop.1(1)(2), 0.1.4, 0.1.5, 0.1.7, 0.2.1, 0.2.2, 0.2.5, 0.2.7
Additional problems recommended for study: 0.2.9


HW#2 Due 9/9/09: 0.3.2, 0.3.4, 0.3.6, 0.3.9, 0.3.11, 0.3.12.


HW#3 Due 9/16/09: 1.1.1, 1.1.2, 1.1.3, 1.1.5, 1.1.6, 1.1.11, 1.1.12, 1.1.22, 1.1.25
1.2.2, 1.2.3, 1.2.18
1.3.1, 1.3.5, 1.3.7, 1.3.13, 1.3.14
1.4.1, 1.4.2, 1.4.3, 1.4.4
1.5.1
solutions to HW#3


HW#4 Due 9/23/09: 1.6.10, 1.6.17, 1.7.4, 1.7.17, 2.1.8 solutions to HW#4
Additional problems recommended for study:
1.6.1, 1.6.2, 1.6.3, 1.6.4, 1.6.7, 1.6.11, 1.6.12, 1.6.14, 1.6.18, 1.6.20
1.7.5, 1.7.8, 1.7.9, 1.7.14, 1.7.15, 1.7.16, 1.7.18, 1.7.19
2.1.1(b)(c), 2.1.2(a)(c), 2.1.3, 2.1.5, 2.1.6, 2.1.10, 2.1.12, 2.1.14


HW#5 Due 9/30/09: 2.2.10, 2.3.24, 2.4.3, 2.5.1 solutions to HW#5
Additional problems recommended for study:
2.2.1,2,3,4,5,9,10,11,
2.3.1,2,3,12,16,23,24,25,26
2.4.1,3,14,16,17,19,20
2.5.1,4,7,10,11,12,13


HW#6 Due 10/7/09: 3.1.3, 3.1.24, 3.1.36, 3.1.37 solutions to HW#6
Additional problems recommended for study:
3.1.1,4,11,14,15,20,22,27,38,41,42


HW#7 Due 10/14/09: 3.2.4, 3.2.8, 3.3.3, 3.3.7 solutions to HW#7
Additional problems recommended for study:
3.2.1,5,7,9,10,11,12,16,17,18,19,20
3.3.2,4,9


HW#8 Due 10/21/09: 4.1.1, 4.1.2, 4.1.10, 4.2.8 solutions to HW#8
Additional problems recommended for study:
3.4.1,4
3.5.1,2,3,4,5,7,9,13
4.1.3,7,8,9
4.2.1,2,3,9,11,12,13,14


TEST on Wednesday, 10/28/09. No HW due on this day.
Additional problems recommended for study:
4.5.13-4.5.28


HW#9 Due 11/4/09: 4.4.1, 4.4.6, 4.4.8(a), first part of (b) solutions to HW#9
Additional problems recommended for study:
4.4.2, 4.4.7


HW#10 Due 11/11/09: 5.1.10, 5.1.18, 5.4.1, 5.4.2, 5.4.3 solutions to HW#10
Additional problems recommended for study:
5.1.1,2,3,4,7,15,16,17
5.2.1,2,3,4,7
5.4.5,7,10,15,16,17


HW#11 Due 11/18/09: 7.1.11, 7.1.15, 7.1.16, 7.1.21, 7.2.12 solutions to HW#11
Additional problems recommended for study:
7.1.1-10,12,17,18,20,22
7.2.1-4,6,7,9


HW#12 Due 12/2/09: 7.3.16, 7.3.34, 7.3.35, 7.4.5, 7.4.7, 7.4.11, 7.4.19 solutions to HW#12
Additional problems recommended for study:
7.3.1,2,6,7,8,10,13,19,23,26,27
7.4.4,8,10,12,15,20,23,24,25,36,37,38
7.5.1,2,3
7.6.1,2,3,4


HW#13 Due 12/9/09: 7.6.1, 7.6.4, 8.1.6, 8.2.3
Additional problems recommended for study:
8.1.4,5,6,7,9,11
8.2.1,2,4,5,6