# LAMC Meetings • 2019-2020 Academic Year

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### For meetings prior to Fall 2019, visit the Circle Archive.

Advanced 1AAdvanced 1BAdvanced 2AAdvanced 2BAMC10/12 TrainingBeginners 1ABeginners 1BBeginners 2ABeginners 2BBNP
BNP BridgeIntermediate 1AIntermediate 1BIntermediate 2AIntermediate 2BOlympiads 1Olympiads 2
 10/6/2019 We start off the new year with some problems from the Moscow Math Olympiad.Handouts: Handout [Show less] 10/13/2019 We start off probability by introducing some set theory notation and defining sample spaces. Then we apply those to classical probability questions.Handouts: Handout | Homework [Show less] 10/20/2019 We continue our probability unit with a worksheet on Conditional Probability. This includes the Law of Total Probability and Bayes' Theorem.Handouts: Handout | Homework [Show less] 10/27/2019 Our third week of probability includes a handout on random variables and expected value, as well as some more interesting conditional probability problems.Handouts: Handout [Show less] 11/3/2019 We will be working through a fun application of probability and graph theory to electrical circuits. No knowledge of physics is necessary, everything needed is contained in the handout. [Show less] 11/10/2019 We dive further into the connection between random walks and electrical circuits, deriving series and parallel circuits. We then discuss electrical circuits on an integer lattice and its connection to Polya's problem.Handouts: Handout [Show less] 11/17/2019 We start a new unit: Complex Numbers! We will see that while complex numbers might seem unnatural, they are actually extremely useful and can simplify problems that have seemingly nothing to do with the square root of -1.Handouts: Handout [Show less] 11/24/2019 We will explore roots of unity and some geometric aspects of the complex numbers.Handouts: Notes | Handout [Show less] 12/8/2019 For the last meeting of the quarter we will split up into groups and compete! [Show less] 1/12/2020 We start off the new (calendar) year with something you probably haven't seen before: tropical geometry. Throw out everything you know about addition and multiplication; we define new operations and explore polynomials under the new rules. [Show less] 1/17/2020 [Show less] 1/26/2020 [Show less] 2/2/2020 [Show less] 2/9/2020 [Show less] 2/23/2020 [Show less] 3/1/2020 [Show less] 3/8/2020 [Show less]