Skip
down to homework assignments  Skip down to
daily blog of activities
Instructor:
Robert Ellis 
Office: E1 105c 
Email: 
Office phone
5675336 

Lectures 
MW 11:25am12:40pm 
E1 122 

Office Hours 
T 12:45pm1:45pm
(430 priority) R 2:35pm3:35pm
(230 priority) 
Appointments and emailed
questions are welcome 

Textbook 
Gallian, Contemporary
Abstract Algebra, 7th edition 


Textbased and online Flashcards, advice for learning proofs,
advice for learning
abstract algebra, overview
slides for Chapters 16, computer
exercise software for 7^{th} edition 

First day handout (pdf) (course contract & exam schedule)
Exams 

Spr `11 
Exam 1 
Exam 2 

Final 
Date 
W 4/6 

T 5/3 810am 

Practice Exams 

Term 
Exam 1 
Exam 2 
Exam 3 
Final 
Fall `08 


Fall `06 

Example 
Homework Due Dates 

Due 
Random Quiz Reading^{1} (flashcards help prepare)^{} 
Daily Activities^{3} 
Group Homework^{2} 

T 5/3 
Final Exam 
Final
Exam Cumulative but with somewhat more weight on material since Exam
2. Best starting place to study is previous exams; also review group
activities for a source of examples. Be familiar with all major results in
Chapters 011. 
Final
Exam There will be 3 types of proofs: (1) transforming one definition
into another (e.g., Ex2#13); (2) those needing definitions/citing a major
theorem plus one minor observation (e.g., Ex2#12); and (3) those requiring
some serious thought (e.g., Ex2#15). Think of these proofs as C, B, and
Alevel, respectively. 

W 4/27 
No quiz. 
Chapter 11 finite Abelian groups exercise; highlights
of rings, integral domains, and fields 

T 4/26 
Proofs practice with Cory@ARC 5:307:00pm Focus
material: GA 10A Question 3; GA 10B Questions 13; HW 11 proofs; Exam 2
proofs; Final `08
proofs; Final `06
proofs 

M 4/25 
Chapter 10, last page of
GA10B Chapter 11, pp.218222 
HW 12 Chapter 10: 4, 6, 12 (Hint: cite theorem(s)), 18, 22 (cf. Ch9#37,65), 30, 32, 48, 56 

W 4/20 
Chapter 10 Exam
1 rewrite due (Do not alter original exam.
Noncollaborative, no ARC, web, etc.; text, notes &hw ok.) 

T 4/19 
Proofs practice with Cory@ARC Focus material: GA 9C Question 4; Cauchy`s
Theorem for Abelian groups (Thm. 9.5); Chapter 9 Exercises 65, 37; HW 10
proofs 

M 4/18 
New groups starting 4/18, after submission of HW 11 Chapter 10 
New groups starting 4/18, after submission of HW 11 
New groups starting 4/18, after submission of HW 11 HW
11 Chapter
9: 4, 6, 10,
16, 24, 32, 46, 54, 56, 64 

W 4/13 
The quiz will come directly
from GA 9C 
GA 9C: Normal Subgroups and Factor Groups
(due M 4/18) 

T 4/12 

Proofs practice with Cory@ARC Focus
material: GA 9A and 9B proofs, HW 10 proofs 


M 4/11 
The quiz will come directly
from the second half of GA 9A 
GA 9A: Normal Subgroups and Factor Groups
(due W 4/13) GA 9B: Normal Subgroups and Factor Groups
(due W 4/13) 
2^{nd} attempt on all group activities through 5C are
due at 11:25am 

W 4/6 
Exam
2 Chapters 47 & beginning of Chapter 8 (cf. HW 9) 
Exam
2 Chapters 47 & beginning of Chapter 8 (cf. HW 9) 
Exam
2 Chapters 47 & beginning of Chapter 8 (cf. HW 9) 

T 4/5 

Proofs practice with
Cory@ARC Focus material: Chapter 5 (Permutations): GA5A, GA5B, GA5C, Chapter 5 Theorems Chapter 6 (Isomorphisms):
automorphisms and inner automorphisms, esp. pp34 of GA6B, and pp46 of Ch6 Theorems 


M 4/4 
Chapter 9 
GA 9A: Normal Subgroups and
Factor Groups (due W 4/13) 
HW 10 Chapter 8: 12, 18, 24 (i.e., prove), 34, 44, 58, 62, 64 

W 3/30 
Chapter 8 and pp.178180 of Chapter 9 
GA 8B: External Direct Products (due M 4/4) 


T 3/29 

Proofs practice with Cory@ARC 
HW 9 (Due
5pm, mailbox). Chapter 7: 4,
12, 14, 18, 24, 34, 48 Chapter 8: 4, 6 

M 3/28 
Chapter 8 
GA 8A: External Direct Products (due W
3/30) GA 8B: External Direct Products (due M
4/4) 


W 3/23 
Chapter 7 
GA 7B: Cosets&Lagrange`s
Thm (due M 3/28) 


T 3/22 

Proofs practice with
Cory@ARC 


M 3/21 
Chapter 7 
GA 7A: Cosets&Lagrange`s
Thm (due W 3/23) 
HW
8. Show work, write complete explanations, etc. Chapter
6 Computer Exercise: 1 

W 3/9 
No reading quiz 


T 3/8 

Proofs practice with Cory@ARC 


M 3/7 
Chapter 6 Exam 1 rewrite due (Do not alter original
exam. Noncollaborative, no ARC, web, etc.; text, notes &hw ok.) 
GA 6A: Isomorphisms (due M 3/14) 
HW 7. Show work, write complete
explanations, etc. Chapter 5: 8, 14, 24, 36, 40, 46, 50, 52, 54 Chapter 5 Computer Exercises: 1 (include data collected) 

W 3/2 
Chapter 6 through p127 
GA 5C: Permutation
Groups (Due M 3/7) 


T 3/1 

Proofs practice with
Cory@ARC 


M 2/28 
Chapter 5 
GA 5B: Permutation
Groups (Due W 3/2) GA 5C: Permutation
Groups (Due M 3/7) 
HW
6. Chapter
4: 12, 14, 24, 28, 36, 40, 44, 52, 54, 62 

W 2/23 
Chapter 5 
GA4C:
Cyclic groups (Due M 2/28) GA5A: Permutation groups (Due W 3/2) 


T 2/22 5:307 

Proofs practice with Cory@ARC 


M 2/21 
Chapter 4 
GA4B: Cyclic groups (Due W 2/23) 
HW 5. Chapter 3: 12, 14, 30, 44, 50, 58, 62 

W 2/16 
Exam 1 Chapters
03 
Exam 1 Chapters
03 
Exam 1 Chapters
03 

M 2/14 
Chapter 4 
GA4A:
Cyclic groups (Due M 2/21) 


W 2/9 
Chapter 4 
HW 4. Chapter
3: 4, 8, 18, 52 Ch 3 Computer
Exercises: 3, 4 

M 2/7 
Chapter
3 
GA3B: Subgroups (Due M 2/14) 


F 2/4 


Due 3:15pm HW 3. Chapter
2: 6, 8, 10, 12, 14, 18, 32, 34 (assume 3132) 

W 2/2 
Blizzard 
shoveling snow 
decategorize snowflakes 

M 1/31 
Chapter 3 
GA 3A: Subgroups (Due
M 2/14) 


W 1/26 
Chapter
2 (Groups) Read first 2 pages of Chapter 3 
GA2B:
Groups (Due M 1/31) 
HW 2. Chapter 1: 6, 8, 14, 16 

M 1/24 
Chapter 2 (Groups) 
GA2: Groups (due M 1/31) 


W 1/19 
Chapter
1 (Intro to Groups) 
GA1: Symmetry
(due M 1/24) 
HW 1. Chapter 0. 8, 10, 12, 14,
16, 24, 26, 32, 52; 

W 1/12 
Chapter 0 (Preliminaries) 
See Blackboard for inclass proofs. Compare techniques to Joe
Gallian`s excellent advice
for learning proofs. 




GA 0: Divisors (due W 1/19) 

1. Each day starting W 1/12
except for exam days the quiz dice will be rolled. On a 2, 3, 4, 5, or 6 a
group reading quiz will be given covering the reading due that day.
2. Warning: Use of text editions other than the 7^{th} edition
is at your own risk. (Full credit
requires clear proofs, showing steps, clear explanation, etc.)
See the first day handout for instructions on
working and submitting group homework.
3. Group activity worksheets are
due for a participation grade. They will be graded for correctness, and you
will have one chance for resubmitting incorrect work.
Page maintained by Robert Ellis / http://math.iit.edu/~rellis/