UCLA Olga Radko Endowed Math Circle

1/22/2023 -- Intermediate 1A: Winter - Abstract Algebra for SET - Modular Arithmetic and Fields

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 now study objects that have nice notions of addition and multiplication: fields. The primary examples we focus on are the modular finite fields.

Handouts will be posted after the lesson.

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 2, which is attached below as a PDF.

Homework Assigned:

Completing Handout 5, which is attached below (and was also passed out in class).

Note that Handout 4 is a reference sheet that was also passed out in class. This reference sheet may be very helpful for the kids to finish their homeworl.

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!