A previous version of the final examination announcement had the wrong time listed. It has now been corrected. Always double check the registrar for the correct time of your final exams.

The Final Examination will take place December 9, 2024 at 12:30 pm in the regular classroom.

The exam is 150 minutes long. No notes, books, computers, phones, calculators or other aids are allowed. Full credit will not be awarded for insufficient accompanying work.

The final exam is cumulative. All material from the midterms will be tested. The following sections of the textbook will also be tested:

• 16 Rings
• 17 Subrings, Ideals, and Quotient Rings

You are expected to know all the material from prerequisite math courses and Midterms 1, 2 and 3.

Three practice exams have been posted in the resources section, which have similar length, difficulty, and format to your exam.

Midterm 3 will take place during the scheduled class period on Friday, November 15, 2024.

The exam is 50 minutes long. No notes, books, computers, phones, calculators or other aids are allowed. Full credit will not be awarded for insufficient accompanying work.

The midterm will focus on the following sections from the text:

• 10 Equivalence Relations; Cosets
• 11 Counting the Elements of a Finite Group
• 12 Homomorphisms
• 13 Homomorphisms and Normal Subgroups
• 14 Direct Products and Finite Abelian Groups

Our discussion was occasionally more superficial than earlier sections. Specfically, I will not ask about:

• Fermat’s Theorem
• The Class Equation
• The Second Isomorphism Theorem
• The Third Isomorphism Theorem
• Direct Product Recognition (Theorem 14.1)
• Details from the proof of the Fundamental Theorem of Finite Abelian Groups

You are expected to know all the material from prerequisite math courses and Midterms 1 and 2.

Three practice exams have been posted in the resources section, which have similar length, difficulty, and format to your exam.

Class is asynchronous today. Office hours are cancelled for Monday and Tuesday of this week. If you cannot make Wednesday’s office hours, then email me and I may be able to make an appointment at another time.

A lecture on dihedral groups is here. A “bonus” lecture on polyhedral groups is here. Finally you know why I gave you bags of dice on the first day of class!

Midterm 2 will take place during the scheduled class period on Friday, October 11, 2024.

The exam is 50 minutes long. No notes, books, computers, phones, calculators or other aids are allowed. Full credit will not be awarded for insufficient accompanying work.

The midterm will focus on the following sections from the text:

• 5 Subgroups
• 6 Direct Products
• 8 Symmetric Groups
• 9 Equivalence Relations; Cosets

You are expected to know all the material from prerequisite math courses and Midterm 1.

Three practice exams have been posted in the resources section, which have similar length, difficulty, and format to your exam.

Due to Hurricane Helene, class was asynchronous today. The recording is available here.

Midterm 1 will take place during the scheduled class period on Friday, September 13, 2024.

The exam is 50 minutes long. No notes, books, computers, phones, calculators or other aids are allowed. Full credit will not be awarded for insufficient accompanying work.

The midterm will focus on the following sections from the text:

• 1 Binary Operations
• 2 Groups
• 3 Fundamental Theorems about Groups
• 4 Powers of an Element; Cyclic Groups

You are expected to know all the material from prerequisite math courses.

Three practice exams have been posted in the resources section, which have similar length, difficulty, and format to your exam.

This website will be the main source of information for the course outside of lecture. Announcements for the course will be posted on the website here. You can also find the course syllabus, lecture schedule, and additional resources. As the course progresses, you can check your grades on Blackboard