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 July 4, September 4, November 18 - 26, 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 liked this course because the approach to math was much more interesting than in school. The explanations were thorough. I liked that the course touched on a lot of different topics that are based more on logic and applying concepts we have already learned. Also, the online classroom idea is more convenient than attending an actual class. This was my first course, but I will want to do more now.

ACS WASC
ACCREDITED
SCHOOL

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