Los Angeles Math Circle
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LAMC Calendar // 2017-2018 Academic Year. Jump to:

For meetings prior to Fall 2017, visit the Circle Archive.

AdvancedBeginnersBreaking Numbers into PartsEarly ElementaryHigh School IHigh School IIJunior Circle
10/8/2017
Attached are the test from the lesson, the homework that was due on 10/08/17 and the problems from the contest held during the second part of the lesson. Homework for 10/15/17 are problems 1c and 4b from the contest, as well as problem 4 from the previous homework.
10/15/2017
Problems on tilings and the relation of grid colorings to solving them. Handout and homework for 10/22/17 attached.
10/22/2017
More tilings and colorings, factorization of polynomials.
10/29/2017
Today we start a block on Number Theory. First topic: remainders. We have all seen them before, but how can we use them, and why do they even exist? Also: integral points on graphs of linear functions and an interesting system of equations.
11/5/2017
Continuing the topic from last week, remainders and divisibility.
11/12/2017
We introduce the concept of the greatest common divisor and prove some basic statements about it.
11/19/2017
We formulate the Euclidean algorithm and use it to prove some important number-theoretic lemmas.