Instructor: Robert Ellis  Office: E1 Bldg, Rm 105C  Email: 
Lectures 
TR 3:154:30pm  E1 Bldg. 102 
Office Hours 
Just drop in. T/R after 2pm short questions only, please. (Department Seminar M 4:40 Discrete Seminar T 4:40) 
Office phone 5675336 
Appointments and emailed questions are welcome  
Textbook 
Gallian, Contemporary Abstract Algebra, 6th edition, Houghton Mifflin 
First day handout (pdf) (course contract & exam schedule)
Exams  

Exam 1 Exam 1 Key  Exam 2 Exam 2 Key  Final Exam Final Key  
Practice Exams  
Term  Exam 1  Exam 2  Exam 3  Final  
Fall `06  exam, key  key  exam, key  exam, key 
Due Date  Reading^{1}  Group Homework^{2} 

T 8/26  Chapter 0 (Preliminaries)  
R 8/28  Chapter 1 (Intro to Groups)  Chapter 0: 2, 4, 8, 16, 24, 30, 36, 48, 53, Computer Exercise 5. (53 has a brief solution in the text; I am looking for a full, clear written solution.) 
T 9/2  Chapter 2 (Groups): through first paragraph, p.50 

R 9/4  Chapter 2 (Groups)  Chapter 1: 6, 8, 14, 16 Problem A: Give an example of a glide reflection, composed of a nontrivial reflection and nontrivial translation, that is a plane symmetry of a bounded figure (such as the square). Label the operations and appropriate distances in a diagram, and give the equivalent reflection. Problem B: Describe how to generate an infinite hexagonal lattice from a single hexagon and plane symmetries. Then describe the set of plane symmetries of the lattice. 
T 9/9  Chapter 3 (Finite Groups; Subgroups): through end of Theorem 3.3 

R 9/11  Chapter 3 (Finite Groups; Subgroups)  Chapter 2: 6, 8, 12, 14, 18, 26, 32, 34 (Hint: associativity is
inherited); Computer exercise 4, p57 (Write details!) 
T 9/16  Read through Chapter 3B:
Subroups & Chapter 4 pp7376 (Cyclic Groups) 

R 9/18  Chapter 4 (Cyclic Groups)  Chapter 3: 4, 8, 10, 14, 20, 30, 38, 42, 44, 50, 52 Computer Exercise, p.71: 2 (Get started early  I am expecting questions!) 
T 9/23  Review Chapter 4, especially "Fundamental" Theorem 4.3  
R 9/25  Chapter 5 pp9499 (Permutation Groups)  Chapter 4: 14, 16, 24, 28 (see 12), 32, 36, 40, 46, 50, 54 (see 40) 
R 10/2  Chapter 5 pp94103 (Permutation Groups)  Chapter 4: 44, 50 58, 64 Ch4 Computer Exercises (write down data!): 3, 5 Ch 14 Suppl. Ex. (p90): 4, 34 Ch5 Permutation Groups: 2, 4, 8 
T 10/7  Chapter 5 all pages (Permutation Groups)  
R 10/9  Chapter 5 all pages (Permutation Groups) Turn in Chapter 5B: Permutations 
Chapter 5: 6, 14, 18, 26, 32, 34, 36, 46 Ch4 Computer Exercise (write down data): 1 
T 10/14  Chapter 6 pp120129 

R 10/16  Fall Break, no class  
T 10/21  Exam 1 on Chapters 05 and material in Chapter 6 covered on T 10/14  All 2nd tries on group activities through 5B are due 
R 10/23  Chapter 6 all pages  Chapter 5: 38, 42, 50, 54 Chapter 6: 6, 18, 22 
T 10/28  Chapter 7 through Corollary 5 of Lagrange's Theorem  
R 10/30  Chapter 7 all pages  Chapter 6: 10, 14, 26, 38, 40 
R 11/6  Chapter 7 p144147, Chapter 8 p153155  
T 11/11  Chapter 8 all pages 
Chapter 7: 4, 6, 10, 12, 18, 38, 42 Chapter 7 Computer Exercise: 1 (write down data) 
R 11/13  Chapter 8 all pages, particularly 159165  Chapter 8: 4, 6, 12, 20 
T 11/18  Chapter 9, p177185  
R 11/20  Chapter 9, all pages 
Chapter 8: 38, 40, 44, 52, 58, 64
Chapter 9: 2, 8, 10, 12, 14 
T 11/25 
Exam 2, Chapter 5 through Group Activity 8C Not intended as "cumulative", but unavoidably it will contain Chapter 14 material 

T 12/2  No reading assignment  
R 12/4  Chapter 10 through p.205  Homework not for grade, optional turnin 4:30pm Friday for feedback
(what does this mean?^{4 }) This material will be on the final! Chapter 9: 4, 21, 24, 32, 34, 36, 39, 44, 50, 52, 58, 66 Chapter 10: 2, 4, 6, 8, 10 
1. Each day starting 8/26 except for exam days the quiz dice will be rolled. On a 2, 3, 4, or 5, a quiz will be given covering the reading due that day.
2. 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 correct work.
4. Feedback on last work. Work as a group and turn in the problems you are not sure about for feedback. Don't turn in the problems you are sure of. Being sure means being sure of every step along the way. If there look like too many problems try a couple and skip a couple, etc.
page maintained by Robert Ellis / http://math.iit.edu/~rellis/