UCLA Olga Radko Endowed Math Circle

ORMC Meetings • 2023-2024 Academic Year

 Search handouts:

For meetings prior to Fall 2023, visit the Circle Archive.

Advanced 1AAdvanced 1BAdvanced 2Advanced 3AMC 10/12 TrainingAMC 8 TrainingBeginners 1ABeginners 1BBeginners 1CBeginners 2A
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6/25/2023

Students will learn about binary numbers and complements, as well as their application to computer systems. By the end of the lesson, students should understand the fundamentals of the two's complement representation for signed binary numbers.

Handouts: Handout | Solution
7/9/2023

We will review the basics of boolean algebra.

Handouts: Handout | Solution
7/16/2023

We will review Boolean algebra properties and apply them to logic problems.

Handouts: Handout | Solution
7/23/2023

We will study Boolean algebra expressions in disjunctive normal form and use cubes of various dimensions to simplify them.

Handouts: Handout | Solution
7/30/2023

We will take a break from our normal material and have a fun competition.

Handouts: Handout | Answer Key
8/6/2023

Students will start learning the theory of permutations. The goal of this mini-course is to understand when the famous puzzle is solvable and when it's not.

Handouts: Handout | Answer Key
8/13/2023

We will continue our study on the 15 puzzle, delving more into permutations and learning taxicab geometry.

Handouts: Handout | Answer Key
8/20/2023
8/27/2023

We will learn basics of graph theory and consider various relevant theorems.

10/1/2023

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will warm up with some fun games and then introduce basic probability.

Required Resources:

Pencils, eraser, scratch paper and dice.

Homework Due:

N/A.

Homework Assigned:

Finish the handout (Problem 17 is optional).

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout
10/8/2023

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will start with a review of basic probability from last week. We will then introduce combinatorics tools and apply them to calculate probabilities.

Required Resources:

Pencils, eraser and scratch paper.

Homework Due:

Finish last week’s handout (Problem 17 is optional).

Homework Assigned:

Attempt problems 1-12, 14, 16, 18, 20 and 21.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout
10/15/2023

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will start with a review of combinatorics from last week. We will then learn how to use combinatorics to calculate probabilities.

Required Resources:

Pencils, eraser, scratch paper and dice.

Homework Due:

Problems 1-12, 14, 16, 18, 20 and 21 from last week's handout.

Homework Assigned:

Problems 1-17 on the handout.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout
10/22/2023

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will explore some fun logic puzzles.

Required Resources:

Pencils, eraser, and scratch paper.

Homework Due:

Problems 1-17 from last week's handout.

Homework Assigned:

None.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout
10/29/2023

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will explore problem solving through sample olympiad problems.

Required Resources:

Pencils, eraser, and scratch paper.

Homework Due:

None.

Homework Assigned:

Problems 1-8 on the handout.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout
11/5/2023

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will introduce sets and discuss their properties.

Required Resources:

Pencils, eraser, and scratch paper.

Homework Due:

Problems 1-8 on the previous week's handout.

Homework Assigned:

Finish this week's handout.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout
11/19/2023

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will continue our discussion of sets by introducing the notions of power sets and Cartesian products.

Required Resources:

Pencils, eraser, scratch paper, and handout from Week 5: Problem Solving.

Homework Due:

Previous week's handout.

Homework Assigned:

Finish this week's handout.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout
12/3/2023

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will continue our discussion of sets by discussing functions between sets and cardinalities of finite and infinite sets.

Required Resources:

Pencils, eraser, scratch paper, and handout from Week 5: Problem Solving.

Homework Due:

Previous week's handout.

Homework Assigned:

Problems 1.1 to 1.9 and 1.12.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout
12/10/2023

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will have a fun competition to end the quarter!

Required Resources:

Pencils, eraser, and scratch paper.

Homework Due:

Problems 1.1 to 1.9 and 1.12 on previous week's handout.

Homework Assigned:

None.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout
1/7/2024

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will begin our exploration of Euclidean geometry.

Required Resources:

Pencils, eraser, and scratch paper.

Homework Due:

None.

Homework Assigned:

Section 1 on this week's handout.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout
1/14/2024

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will continue our exploration of Euclidean geometry.

Required Resources:

Pencils, eraser, and scratch paper.

Homework Due:

Section 1 on last week's handout.

Homework Assigned:

Attempt all of this week's handout.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout
1/21/2024

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will discuss the notion of area and perimeter.

Required Resources:

Pencils, eraser, and scratch paper.

Homework Due:

Attempt all of last week's handout.

Homework Assigned:

Attempt all problems until 3.13.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout
1/28/2024

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will discuss a non-Euclidean notion of distance and the corresponding geometry.

Required Resources:

Pencils, eraser, scratch paper and compass.

Homework Due:

Attempt all problems up to 3.13 on last week's handout.

Homework Assigned:

No homework.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout
2/4/2024

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will continue our exploration of taxicab geometry with a discussion on shapes.

Required Resources:

Pencils, eraser, scratch paper and compass.

Homework Due:

No homework.

Homework Assigned:

Attempt all of this week's handout.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout
2/18/2024

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will explore the qualities of large numbers.

Required Resources:

Pencils, eraser, scratch paper and compass.

Homework Due:

All of the previously assigned handout

Homework Assigned:

Sections 1, 2 and 3 on this week's handout.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout
2/25/2024

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will introduce the concept of a mathematical game and Nash equilibrium.

Required Resources:

Pencils, eraser, and scratch paper.

Homework Due:

Sections 1, 2 and 3 on the previous week's handout.

Homework Assigned:

Sections 1, 2 and 3 on this week's handout.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout
3/3/2024

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will solve some fun mathematical games.

Required Resources:

Pencils, eraser, and scratch paper.

Homework Due:

Sections 1, 2 and 3 on the previous week's handout.

Homework Assigned:

Section 1 on the this week's handout.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout
3/10/2024

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will have a fun competition to end the quarter!

Required Resources:

Pencils, eraser, and scratch paper.

Homework Due:

Sections 1 on the previous week's handout.

Homework Assigned:

None.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

3/31/2024

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will introduce the concepts of exponents and logarithms.

Required Resources:

Pencils, eraser, and scratch paper.

Homework Due:

None.

Homework Assigned:

None.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout
4/7/2024

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will explore proof by induction.

Required Resources:

Pencils, eraser, and scratch paper.

Homework Due:

None.

Homework Assigned:

None.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!

Handouts: Handout
4/14/2024

Class Logistics:

We will meet from 4 to 6 pm at Math Sciences 6221.

Class Plan:

We will talk about investments and interest.

Required Resources:

Pencils, eraser, and scratch paper.

Homework Due:

None.

Homework Assigned:

TBA.

Contact Information:

Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!