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

Prerequisites:

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
Lectures
Problem sets
Exams
Vocabulary list


Lectures

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.


Exams

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