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.

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AoPS Holidays

There are no classes May 29–31, July 3–5, and September 4–6.

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 enjoyed this course very much. I've had calculus before but this went into much more depth. I feel as if I have a much better understanding of how calculus works than I ever did before. My favourite classes were the ones where we had problem solving sessions. The difficult problems day was especially interesting. I'm really excited to learn more math; this class gave me a glimpse of what is to come!

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