UCLA Olga Radko Endowed Math Circle

ORMC Meetings • 2022-2023 Academic Year

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For meetings prior to Fall 2022, visit the Circle Archive.

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6/26/2022

Students will try to solve the Instant Insanity puzzle as an introduction to graph theory.

Handouts: handout_1
7/10/2022

We will study various properties of graphs ending with Eulerian cycles and the famous Seven Bridges of Konigsberg problem.

Handouts: handout_2
7/17/2022

Students will continue the study of graph theory.

Handouts: handout 3
7/24/2022

Students will continue their study of graph theory.

Handouts: handout 4
7/31/2022

Students will take a break from graph theory and solve fun logic puzzles.

Handouts: handout_5
8/7/2022

Students will complete the previously studied handouts on Euler characteristic and logic puzzles.

Handouts: handout 6
8/14/2022

Students will apply their knowledge of graph theory, trees in particular, to solving a bunch of fun word problems.

Handouts: handout
8/21/2022

Students will study a part of graph theory that shows how order emerges out of chaos.

Handouts: Handout
9/25/2022

We begin this quarter by briefly studying modular arithmetic. This will serve as a warmup for the type of coding challenges we plan to tackle in Python.

Handouts: Handout
10/2/2022

We will continue working on the modular arithmetic handout from the previous week.

10/9/2022

We will begin Python programming this week. Please bring laptops to class and ensure you have a Google account that can access and run Colab notebooks.

Beginner Notebook

Advanced Notebook

10/16/2022

This week we will cover if-else statements and for loops.

Beginner Notebook

Advanced Notebook

Handouts: Homework
10/23/2022

This week we will go into more depth on looping, including while loops and nested loops, and also cover how to make interactive programs with user input.

Beginner Notebook

Advanced Notebook

Handouts: Homework
10/30/2022

This week we will continue where we left off on last week's content.

Handouts: Homework
11/6/2022

This week we will finish our discussion of looping and user input.

Advanced Notebook

Handouts: Homework
11/20/2022

This week we will review what we have covered over the course of the quarter and touch on some graph theory.

12/4/2022

This week we will have a friendly team-based competition.

1/8/2023

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 6229

Class Plan:

We will introduce/play the card game SET and explain our goals for the quarter. Then we begin brainstorming about numbers and algebraic axioms.

Handouts will be posted after the lesson.

Required Resources:

Dr. Gleizer emailed the class parents regarding purchasing a copy of the card game SET. Please ask your child to bring it to class this week.

Have your children bring a pencil and eraser. No computers or associated accessories should be brought.

Homework Due:

None.

Homework Assigned:

TBA

Contact Information:

Please reach out to the instructors Anvesha Dutta, anveshadutta@g.ucla.edu or Siddarth Chalasani, darthsid2000@g.ucla.edu if you have any questions, comments, or concerns!

1/15/2023

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 6229

Class Plan:

Discuss solutions to handout 1 which was assigned as homework for the previous homework and begin a new handout as part 2 of abstract algebra.

Required Resources:

Have your children bring a pencil and eraser. No computers or associated accessories should be brought.

Homework Due:

Handout 1

Homework Assigned:

TBA

Contact Information:

Please reach out to the instructors Anvesha Dutta, anveshadutta@g.ucla.edu or Siddarth Chalasani, darthsid2000@g.ucla.edu if you have any questions, comments, or concerns!

1/22/2023

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 6229

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:

TBA

Contact Information:

Please reach out to the instructors Anvesha Dutta, anveshadutta@g.ucla.edu or Siddarth Chalasani, darthsid2000@g.ucla.edu if you have any questions, comments, or concerns!

1/29/2023

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 6229

Class Plan:

We review the homework and finish our study of abstract fields.

We next study vector spaces, which are useful in mathematical modeling.

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:

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

Homework Assigned:

To be announced.

Contact Information:

Please reach out to the instructors Anvesha Dutta, anveshadutta@g.ucla.edu or Siddarth Chalasani, darthsid2000@g.ucla.edu if you have any questions, comments, or concerns!