UCLA Olga Radko Endowed Math Circle

ORMC Meetings • 2020-2021 Academic Year

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For meetings prior to Fall 2020, visit the Circle Archive.

Advanced 1AAdvanced 1BAdvanced 2AAdvanced 2BAdvanced 3AMC10/12 TrainingBeginners 1ABeginners 1BBeginners 1CBeginners 2A
Beginners 2BIntermediate 1AIntermediate 1BIntermediate 2AIntermediate 2BOlympiads 1Olympiads 2
10/11/2020

We will start the year with a wide variety of competition style problems.

10/18/2020

We will introduce Gaussian integers in order to decide which integers can be written as a sum of two squares.

10/25/2020

We will wrap up the discussion of Gaussian integers and prove which integers are the sum of two squares.

11/1/2020

We will study the limitations of polynomials as prime generating functions.

11/8/2020

We will study recursive formulas for generating primes.

11/15/2020

We introduce some classic algorithms and the notion of runtime.

11/22/2020

Following the introduction to algorithms, we are able to discuss the nuances of the P vs. NP problem.

Handouts: P vs NP
12/6/2020

We prove the Fundamental Theorem of Algebra with a focus on graphing.

12/13/2020

The students battle it out in a full class Kahoot competition.

1/10/2021
1/17/2021

We will attempt to determine when a given graph is planar, culminating in Kuratowski's Theorem.

Handouts: Planar Graphs
1/24/2021

We will explore many interesting results about graph coloring.

1/31/2021

We will finish the study of graph coloring and introduce basic ideas in Ramsey Theory.

2/7/2021
2/21/2021
2/28/2021
3/7/2021
3/14/2021