Examinations  Textbook  Deadlines  Instructor  Homework 

Grades  Honor Principle  Disabilities  Schedule of Lectures 
Examinations 

Midterm 
Thursday, July 30

Kemeny 006 
5:00 pm to 7:00 pm 
Final Exam  Sunday, August 30 
Kemeny 007 
11:30 am to 2:30 pm 
If you have a legitimate conflict with these exam dates and times, please contact your instructor as soon as possible. Please do not wait until shortly before the exam.
Textbook 

Abstract Algebra (3rd edition) by I. N. Herstein
(Available at Wheelock Books)
Deadlines 

It is each student's responsibility to be aware of academic deadlines as stated by the Registrar. In particular, please note these deadlines:
Instructor 

Vince Vatter, 314 Kemeny
Blitz: vincent.vatter
Office hours: Mondays and Wednesdays, 11:00 to 12:00 and Thursdays, 2:00 to 3:00
Homework 

Homework will be assigned weekly and will be due Monday at the beginning of class. Late homework will NOT be accepted, except in extreme circumstances. You must individually write up your own solutions, but you are highly encouraged to work together in groups on the homework! Please note that this applies only to the homework; exams must be done independently.
In the table below, homework problems are listed in the format chapter.section.problem.
Homework 1 due Monday, June 29 
1.1.3, 1.2.11, 1.2.12, 1.2.22, 1.3.7, 1.3.14 
Homework 2 due Monday, July 6 
1.4.9, 1.4.12, 1.4.27, 1.5.1, 1.5.7, 1.5.13 
Homework 3 due Monday, July 13 
1.6.8, 1.6.11, 1.7.2, 1.7.3, 1.7.22, 2.1.1, 2.1.17, 2.1.18, 2.3.1, 2.3.3, 2.3.12 
Homework 4 due Monday, July 20 
2.4.4, 2.4.5, 2.4.6, 2.4.7, 2.4.16, 2.4.33, 2.5.6, 2.5.14, 2.5.15, 2.5.17 
Homework 5 due Monday, July 27 
2.6.2, 2.6.6 (for those two, brief answers suffice), 2.6.11, 2.6.18, 2.7.4, 2.4.31, 2.7.6, 3.2.2, 3.2.9, 3.2.13 
Homework 6 due Monday, August 3 
3.2.22, 3.3.5, 3.3.8, 4.1.1, 4.1.18, 4.1.20, 4.2.1 
Homework 7 due Monday, August 10 
4.3.3, 4.3.25, 4.3.2, 4.3.4, 4.4.2, 4.4.8 
Homework 8 due Monday, August 17 
4.5.3, 4.5.13, 4.5.10 (ac), 4.6.3, 4.6.5, 5.1.7 
Homework 9 due Wednesday, August 26 
5.2.3, 5.2.7, 5.2.13, 5.3.1, 5.3.13 
Grades 

The grades in this course will be calculated as follows:
Midterm  35% 
Final Exam  35% 
Homework and Quizzes 
30% 
The Honor Principle 

Disabilities 

Schedule of Lectures 

The course meets MWF 1:45 to 2:50 in Kemeny 006.
The xhour (Th 1:00 to 1:50) will be used occasionally and you will be informed in advance as to when it will be used.
Please note that the below is a very tentative schedule. I will update it as we cover lectures, so past lectures are listed with what was covered.
Lecture 1 Friday, June 26 
Introduction, set theory
(Sections 1.1 and 1.2 in Herstein) 
Lecture 2 Saturday, June 27 11:45 to 12:50 
Mappings
(Section 1.3 in Herstein) 
Lecture 3 Monday, June 29 
A(S)
(Section 1.4 in Herstein) 
Lecture 4 Wednesday, July 1 
The Integers
(Section 1.5 in Herstein) 
Friday, July 3  Class cancelled for Independence Day 
Lecture 5 Monday, July 6 
Induction, Complex Numbers
(Sections 1.6 and 1.7 in Herstein) 
Lecture 6 Wednesday, July 8 
Introduction to Groups
(Section 2.1 in Herstein) 
Lecture 7 Friday, July 10 
Subgroups
(Sections 2.2 and 2.3 in Herstein) 
Lecture 8 Monday, July 13 
Lagrange's Theorem
(Section 2.4 in Herstein) 
Lecture 9 Wendesday, July 15 
Lagrange's Theorem
(Section 2.4 in Herstein) Quiz 
Lecture 10 Thursday, July 16 xhour, 1:00 to 1:50 
Homomorphisms and Normal Subgroups
(Section 2.5 in Herstein) 
Lecture 11 Friday, July 17 
Homomorphisms and Normal Subgroups
(Section 2.5 in Herstein) 
Lecture 12 Monday, July 20 
Factor Groups
(Section 2.6 in Herstein) 
Lecture 13 Wednesday, July 22 
The Homomorphism Theorems
(Section 2.7 in Herstein) Quiz on Section 2.5 
Thursday, July 23 xhour, 1:00 to 1:50 
Optional: review of groups 
Lecture 14 Friday, July 24 
The Symmetric Group, Cycle Decomposition
(Sections 3.1 and 3.2 in Herstein) 
Lecture 15 Monday, July 27 
Even and Odd Permutations
(Section 3.3 in Herstein) 
Lecture 16 Wednesday, July 29 
Introduction to Rings
(Section 4.1 in Herstein) 
Thursday, July 30 xhour, 1:00 to 1:50 
Optional: review for midterm 
Thursday, July 30 5:00 to 7:00 pm 
Midterm 
Lecture 17 Friday, July 31 
More Introduction to Rings
(Section 4.1 in Herstein) 
Lecture 18 Monday, August 3 
Ideals, Homomorphisms, and Quotient Rings
(Section 4.3 in Herstein) 
Lecture 19 Wednesday, August 5 
Ideals, Homomorphisms, and Quotient Rings
(Section 4.3 in Herstein) 
Lecture 20 Friday, August 7 
Maximal Ideals
(Section 4.4 in Herstein) Quiz on Section 4.3 
Lecture 21 Monday, August 10 
Polynomial Rings
(Section 4.5 in Herstein) 
Lecture 22 Wednesday, August 12 
Polynomial Rings
(Sections 4.5 and 4.6 in Herstein) 
Lecture 23 Friday, August 14 
Introduction to Fields
(Section 5.1 in Herstein) 
Lecture 24 Monday, August 17 
Fields and Vector Spaces
(Section 5.2 in Herstein) 
Lecture 25 Wednesday, August 19 
Field Extensions
(Section 5.3 in Herstein) 
Friday, August 21  Class cancelled 
Monday, August 24  Class cancelled 
Lecture 26 Wednesday, August 26 
Finite Extensions
(Sections 5.3 and 5.4 in Herstein) 
Thursday, August 27 1:00 to 1:50 
Optional: review for final 
Sunday, August 30 11:30 to 2:30 Kemeny 007 
Final Exam 