Group Theory Seminar Online Math Course

Group Theory Seminar

This 7-week seminar is an introduction to the basics of group theory. In this seminar we will focus on defining and understanding groups: how they are constructed and how they interact with the rest of the world. This seminar is not intended to be a complete group theory course (which is a core component of a college undergraduate mathematics curriculum), but rather is intended to give strong high school students a first look at the most important concepts and examples of this very vast subject.

7 weeks

Diagnostics

ARE YOU READY?
7 weeks ARE YOU READY?  

Schedule

There are no classes currently scheduled.

Please sign up for our mail list to be notified of new class offerings.

Join Mail List

AoPS Holidays

There are no classes September 5–7, November 23–29, and December 21–January 3.

Lessons

Lesson 1 Symmetry
Lesson 2 Examples of Groups
Lesson 3 Cyclic Groups
Lesson 4 Abelian Groups
Lesson 5 Group Actions
Lesson 6 Orbits and Burnside
Lesson 7 Polya Counting and Cayley Graphs

I really enjoyed this class. While taking WOOT, I learned about several interesting areas that I had not previously studied, including functional equations, generating functions, vectors/complex numbers, and convexity. The feedback from the practice Olympiads was useful in that it told me exactly where my solutions failed so I could investigate how to fix them. However, I feel that the most valuable aspect of this class was the problems. WOOT had few problems that could be solved immediately with a standard procedure; instead, the problems took some time to solve, challenging me to consider many solution methods before I found the one that worked.

Invalid username
Sign In