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LAMC Meetings • 2019-2020 Academic Year
For meetings prior to Fall 2019, visit the Circle Archive. | Advanced 1A | Advanced 1B | Advanced 2A | Advanced 2B | AMC10/12 Training | Beginners 1A | Beginners 1B | Beginners 2A | Beginners 2B | BNP | | BNP Bridge | Intermediate 1A | Intermediate 1B | Intermediate 2A | Intermediate 2B | Olympiads 1 | Olympiads 2 | | | 10/6/2019 | We start off the new year with some problems from the Moscow Math Olympiad.
| | 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.
| | 10/20/2019 | We continue our probability unit with a worksheet on Conditional Probability. This includes the Law of Total Probability and Bayes' Theorem.
| | 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.
| | 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. | | 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. | | 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. | | 11/24/2019 | We will explore roots of unity and some geometric aspects of the complex numbers. | | 12/8/2019 | For the last meeting of the quarter we will split up into groups and compete! | |
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