Math H113 - Honors Introduction to Abstract Algebra

Instructor: Brian Osserman

Lectures: MWF 2:00-3:00pm, Room 85 Evans

Course Control Number: 54927

Office: 767 Evans, e-mail:

Office Hours: Tu 2:00-3:00pm, W 1:00-2:00pm, F 3:00-4:00pm (starting 1/24)

GSI: Sami Assaf

GSI Office Hours: WTh 9:30am-12:00pm, 1:00pm-3:30pm, in 891 Evans


Required Text: Beachy/Blair, Abstract Algebra, 3rd edition

Recommended Reading:

Syllabus: We will hopefully cover groups, rings, and fields, with some exploration of Galois theory at the end to tie concepts together.

Grading: 45% homework, 15% x 2 exams, 25% final.

Homework: Homework will be assigned weekly, due on Fridays.

Quick links
Problem sets
Vocabulary list


The parts of the textbook discussed in each lecture will be posted here.

Upcoming lectures: 8.3, 7.6, 8.4

Problem sets

Problem sets will be posted here over the course of the semester. Problems sets will be due by 4:00 pm on Fridays unless marked otherwise. Routine late problem sets will be accepted only at the discretion of the grader, but in exceptional circumstances I will grant extensions upon request.


The first exam will be on 2/15, so that grades can be returned before the drop deadline, which is 2/17. It will be a one-hour, in-class, closed-book exam. Bring a blue book.

Practice exam #1 Note: (1) is longer than you should expect on the exam, and (3) is substantially longer and more difficult. If you replace $S_4$ by $S_3$ in (3), the problem would be more in line with what to expect on the exam.

Solutions to practice exam #1.

The second exam will be on 3/22, with grades returned by 3/24. As before, one-hour, in-class, closed-book, bring your own blue book.

Practice exam #2

Solutions to practice exam #2.

The final exam will be from 5-8 PM, Saturday 5/13, in 85 Evans. The format will be the same as the previous exams, with 8-10 problems instead of 4. The exam will be comprehensive, but weighted toward material covered since spring break (i.e., fields and Galois theory). Don't forget blue books.

Vocabulary list

A list of terminology which, for one reason or another, will be different in class from in the book.

In lectureIn the book
Injective [function]One-to-one [function]
Surjective [function]Onto [function]
Bijective functionOne-to-one correspondence
Quotient [set, group,ring]Factor [set, group,ring]
Field of fractionsQuotient field