Los Angeles Math Circle

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.
12/3/2017
We further use the Euclidean algorithm to investigate some linear diophantine equations.
12/10/2017
End-of-quarter game.
1/14/2018
Introduction to graph theory and geometry.
1/21/2018
More graphs and geometry
1/28/2018
Continuation of graphs and geometry
2/4/2018
Eulerian graphs and patallelograms.
2/11/2018
Eulerian paths and parallelograms.
2/25/2018
First lesson on game theory and continuation of geometry.
3/4/2018
Winning/losing positions and circles.
3/11/2018
Stealing strategies and relative positions of 2 circles.
3/18/2018
Stealing strategies continuation, along with central angles and arcs on a circle.
4/8/2018
Today we start learning a new powerful proof technique -- induction.
4/15/2018
We proceed by applying induction to problems in combinatorics.
4/22/2018
We proceed by applying induction to problems in algebra. Also: more inscribed angles.