Math 330. Modern Algebra I

Spring 2016


All the homework assignments and their solutions are here:

Solutions to the midterms:
Midterm 1 Solutions
Midterm 2 Solutions
Midterm 3 Solutions

Not a Ring!


Abstract Algebra: Theory and Applications by Tom Judson.

The textbook is an open-source book, you can download it free at the textbook's website. If you prefer a hardcover version of the book, the book can be ordered at the Lake Forest bookstore or it can be ordered online at Amazon or at Barnes and Noble for the inexpensive price of $20.

The following books have been placed on reserve in the library for more references:
Abstract Algebra by Dummit and Foote and
A First course in Abstract Algebra by Fraleigh
Visual Group Theory by Nathan Carter. The library has an ebook copy of this book too.

Topics we will cover

We will cover basic group theory, i.e., groups, subgroups, cyclic groups, permutation groups, cosets, Lagrange's theorem, Euler's theorem, group actions and basic ring theory. If we have time we'll also cover Sylow's theorems.


The course grade will be based on:
Homework 10%,
Midterms 60% (20% each),
Final Exam 30%.


There will be written homework roughly every week. The most recent homework will be posted in the announcements and a copy of all homeworks can be accessed here. Each homework assignment will consist of roughly 10 problems. Each student will submit the solutions to the problems written in LaTeX. Collaboration on the homework is permitted (and encouraged), however the solutions turned in must be written individually. You are not allowed to use the internet or any book not listed in the textbook section above to answer the homework exercises.


There will be three midterms and one final exam. On the midterms and the final exam you must work on the problems on your own. No collaboration permitted in the exams.

The midterms will be outside of class so that you have more time to try the problems.

The dates are:


Students are expected to come to every lecture and every exam.

If the dates of the exams conflict with Lake Forest approved events, inform me as soon as possible.

Accommodations Statement

If you believe that you need accommodations for a disability, please consult with The Learning and Teaching Center. Since accommodations may require early planning and are not retroactive, please contact the center as soon as possible. For details about the services for students with disabilities and the accomodations process, visit

You are also welcome to contact me privately to discuss your academic needs. However, all disability-related accommodations must be arranged through Teryn Robinson at the Learning and Teaching Center.

Last modified on May 7, 2016.