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.

Advanced 1AAdvanced 1BAdvanced 2Advanced 3AMC 10/12 A TrainingAMC 10/12 B TrainingAMC 8 TrainingBeginners 1ABeginners 1BBeginners 1C
Beginners 2ABeginners 2BChess clubIntermediate 1AIntermediate 1BIntermediate 2AIntermediate 2B
9/25/2022
Handouts: Handout
10/2/2022
Handouts: Handout
10/9/2022
Handouts: Handout | Solutions
10/16/2022

There are many ways to characterize integers: primes versus composite, abundant versus deficient, even naughty versus nice. We will focus on the second of these, trying to make sense of the question, “what’s the probability an integer is abundant?” Exploring this question will compel us to think deeply about primes, and a menagerie of Greek letters, and even the question of naughty versus nice.

10/23/2022
Handouts: Handout | Solutions
10/30/2022
Handouts: Handout | Solutions
11/6/2022
Handouts: Handout
11/20/2022
Handouts: Handout | Solutions
12/4/2022
Handouts: Problems | Solutions
1/8/2023

Students will learn set-theoretical foundations of probability and solve practice problems. Students will also have to save Alice and Bob from an evil dictator.

Handouts: Probability 1
1/15/2023
Handouts: Handout
1/22/2023
Handouts: Handout | Solutions
1/29/2023
Handouts: Handout | Solutions
2/5/2023
2/19/2023

The lecture outlines an approach to elementary geometry different from the standard compass-and-ruler constructions. If one uses origami instead, the resulting algebraic structure (Galois group) is more rich. In particular, some problems not solvable by means of compass-and-ruler constructions, like trisecting an angle, become solvable. The room for the lecture is MS 4000A.

Handouts: lecture notes
2/26/2023
Handouts: Handout | Solutions
3/5/2023
Handouts: Handout | Solutions
3/12/2023
Handouts: Answers | Problems
4/2/2023
Handouts: Handout
4/9/2023
Handouts: Handout | Solutions
4/16/2023

A guest lecture by Dr. Zuming Feng, to be given in MS 4000 A.

4/23/2023
Handouts: Handout | Solutions
4/30/2023
Handouts: Handout | Solutions
5/7/2023
5/14/2023
Handouts: Handout | Solutions
5/21/2023
Handouts: Handout | Solutions
6/4/2023