Welcome to Math 4107: Abstract Algebra I with Prof. Heitsch!
Times & Places Lectures are in Skiles 240 on Tuesdays and Thursdays from 12:05 -- 1:25.

Office hours are currently scheduled for Monday from 3:30 - 4:30pm and Tuesday and Thursday from 1:30 -- 2pm in Skiles 226.
(Meeting at other times is possible by appointment.)
Announcements Handouts from Tuesday, August 18th: Course Syllabus and Assignment 0.
Extra office hours on Friday, Sept. 5th from 1:30 - 2:30pm.
Office hour on Thursday cancelled. Extra office hours on Friday, Sept. 5th will be from 1:15 - 2:45pm.
For Problem 2.1 #22, try representing f and h in matrix form.
Office hours on Monday and Tuesday (Sept. 15 and 16) are cancelled. There will be extra office hours on Friday, Sept. 19.
Midterm 1 will be on Tuesday, Sept. 30th and cover Chapt. 1 and Sections 2.1, 2.2, 2.3, 2.4, and 2.5 of Chapt. 2.
Extra office hours on Friday, Sept. 19th from 1:15 - 2:45pm.
Change in course grading scheme: one assignment score will be dropped when computing the homework portion of the course grade.
Extra office hours on Friday, Sept. 26th from 3 - 5pm and Monday, Sept. 29th from 3:30 - 5:30pm.
Change in course grading scheme: grades will be computed as the maximum of the orginal weighting (20% Midterm 1, 20% Midterm 2, 30% Final, 30% Homework) and an alternate weighting (0% Midterm 1, 20% Midterm 2, 50% Final, and 30% Homework).
Exam 2 will be on Tuesday, November 11th. New material for Exam 2 will be Sections 2.6, 2.7, 2.8, and 2.9 from Chapter 2 and Sections 3.1, 3.2, and 3.3 from Chapter 3.
Extra office hours on Monday, November 10th from 3:30 - 5:30.
Change in course grading scheme: grades will be computed as the maximum of the orginal weighting (20% Midterm 1, 20% Midterm 2, 30% Final, 30% Homework) and two alternate weightings (0% Midterm 1, 20% Midterm 2, 50% Final, and 30% Homework) and (20% Midterm 1, 20% Midterm 2, 50% Final, and 30% Homework).
You may bring 1 page of notes (front and back allowed) to the final exams.

The final exam is scheduled for Friday, Dec. 12th from 8am - 10:50am in Skiles 240.
The final exam will cover Chapt. 1, Chapt. 2 Sec. 1 - 9, Chapt. 3 Sec. 1 - 3, Chapt. 4 Sec. 1 - 4, and Chapt. 5 Sec. 1.
You may bring 1 page of notes (front and back allowed) to the final exams.

The questions from the dead week group discussions are available here.
Homework Assignment 0 due Tuesday, August 26th.
Assignment 1 due Tuesday, September 9th.
Assignment 2 due Tuesday, September 23rd.
Note that the last problem should be Problem 2.5 # 27 _not_ Problem 2.6 #27.
Assignment 3 due Tuesday, October 21st.
Assignment 4 due Tuesday, November 4th.
Assignment 5 due Tuesday, November 25th.
Practice Problems Section 1.3: #3 - 7, 12 - 13, 16 - 18, 23, 24, 27.
Section 1.4: #1 - 4, 7, 8, 12, 13, 15, 21 - 23, 27, 32.
Section 1.6: #1, 4, 12, 15.
Section 2.1: #1, 5, (8), 9, 11 - 13, 16, 19, 20.
Write out the products of all the group elements as a table for S_3 and for the dihedral group of order 8. Additional possibilities are S_4 and the dihedral group of order 10.
Section 2.3: #1, 3 - 7, 11, 12, 19, 21. Also, solve #3 and #7 for the dihedral group of order 8.
Section 2.4: #2 - 8, 19, 21. Also, 9 - 13, 15 - 18, 25, 26, 28, 31, 32, 34, and 43.
Section 2.5: #3 - 6, 13, 14, 22.

Section 3.1: #1, 2, 4, 5.
Section 3.2: #2, 3, 8 - 12, 14, 17, 24, 25.
Section 3.3: #1 - 5.
Section 2.6: #1 - 5.
Section 2.7: #1, 2, 3, 7. Also, check your understanding of the theorems against homomorphisms of groups like the symmetric group, congruence mod n, the dihedral group, etc.
Section 2.8: #1, 2, 4, 9, 10. Also, check your understanding of the theorems against groups like the symmetric group, congruence mod n, the dihedral group, etc.
Section 2.9: Solve problems #24, 25 from Sec. 2.5 and #4 from Sec. 2.7.

Section 4.1: #1, 2, 3, 9, 10, 15, 21, 22. Also check your understanding against rings like the integers and congruence mod 6, and fields like the reals and congruence mod p, a prime.
Section 4.2: #1, 2, 4, 5, 6.
Section 4.3: #1, 2, 3, 4, 5, 6.
Section 4.4: #2 - 8.
Section 5.1: #1, 2, 7 - 10.
Links Check your grades on T-Square.

Writing Proofs by Prof. Chris Heil, Georgia Tech and How to write proofs: a quick guide by Dr. Eugenia Cheng, U Sheffield.

Student are expected to follow the Georgia Tech Academic Honor Code and Student Code of Conduct.

C. E. Heitsch
Fall semester 2008