UCLA Olga Radko Endowed Math Circle

1/15/2023 -- Intermediate 1A: Winter - Abstract Algebra for SET - What is a Number and Symmetry Groups

Quarter Goals:

  • Learn the basics of abstract algebra
  • Model the card game SET with pure math and Python

Class Logistics:

We will meet from 4-6 pm at Math Sciences 6221

Class Plan:

We dive deeper into the algebraic axioms of types of numbers on the real line.

We then cover examples of other objects which can be "added" together like numbers: symmetry groups.

Handouts will be posted after the lesson: Handout 1 was homework, Handout 2 and 3 were passed out in class.

Required Resources:

Have your children bring a pencil and eraser.

No computers or associated accessories should be brought.

The SET card game is not needed for this lesson.

Homework Due:

Handout 1, which is attached below as a PDF.

Homework Assigned:

Complete up to the second to last page of Handout 2, which is attached below as a PDF. Handout 3 is not due as homework.

Contact Information:

Please reach out to the instructors Andy Shen at andyshen55@g.ucla.edu or Naji Sarsam at najisarsam@g.ucla.edu if you have any questions, comments, or concerns!