# 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 [Show less] 10/2/2022 Handouts: Handout [Show less] 10/9/2022 Handouts: Handout | Solutions [Show less] 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. [Show less] 10/23/2022 Handouts: Handout | Solutions [Show less] 10/30/2022 Handouts: Handout | Solutions [Show less] 11/6/2022 Handouts: Handout [Show less] 11/20/2022 Handouts: Handout | Solutions [Show less] 12/4/2022 Handouts: Problems | Solutions [Show less] 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 [Show less] 1/15/2023 Handouts: Handout [Show less] 1/22/2023 Handouts: Handout | Solutions [Show less] 1/29/2023 Handouts: Handout | Solutions [Show less] 2/5/2023 [Show less] 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 [Show less] 2/26/2023 Handouts: Handout | Solutions [Show less] 3/5/2023 Handouts: Handout | Solutions [Show less] 3/12/2023 Handouts: Problems | Solutions [Show less]