In 2020-2021, I taught the Graduate Algebra sequence at UC Irvine, Math 206ABC. (This course has since been re-numbered and is now known as Math 230ABC.) In Fall 2022 and Winter 2023, I taught Math 230A and Math 230B. One major goal of this course is to prepare students for success on the Qualifying Exam in Algebra. On this page I will collect some materials that I created for Math 206 and Math 230 that may be useful resources for students taking similar courses and for students preparing for Algebra Qualifying Exams.
The primary textbook for Math 206 was Abstract Algebra, Third Edition by Dummit and Foote.
In many places, I supplemented the textbook with material from notes of Keith Conrad available on this page.
I recorded lecture videos for Math 206 and have posted them on my YouTube Channel: nckaplan math.
Most videos are around 10-15 minutes and there were usually 3-4 videos per lecture. Each video contains a description with a summary of what was covered in that lecture along with suggested reading.
The videos are divided into playlists by topic:
Each quarter of the algebra sequence had two Midterms and a Final Exam. Here are these exams together with solutions.
Here are some exams from when I taught Math 230A and Math 230B in 2015-2016:
I created review materials for Math 206 and Math 230 exams listing important definitions, examples, and theorems:
I also created documents containing practice problems for the exams. Some of these problems come from the textbook, but most are from UC Irvine Algebra Qualifying and Comprehensive Exams:
Here are the homework assignments for Math 206:
Please feel free to contact me if you have questions about any of these materials or notice any mistakes that should be corrected.
Do not post any of these materials online (CourseHero, Chegg, etc.) without my permission.