Los Angeles Math Circle

# LAMC Calendar // 2017-2018 Academic Year. function OnChange(dropdown) { var myindex = dropdown.selectedIndex var SelValue = dropdown.options[myindex].value top.location.href = '#' + SelValue; return true; } Jump to: September October November December January February March April May

## 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.Handouts: Test | Previous homework | Contest problems [Show less] 10/15/2017 Problems on tilings and the relation of grid colorings to solving them. Handout and homework for 10/22/17 attached.Handouts: Lesson handout. | Homework for 10/22/17. [Show less] 10/22/2017 More tilings and colorings, factorization of polynomials.Handouts: Lesson handout. | Homework. [Show less] 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. [Show less] 11/5/2017 Continuing the topic from last week, remainders and divisibility. [Show less] 11/12/2017 We introduce the concept of the greatest common divisor and prove some basic statements about it. [Show less] 11/19/2017 We formulate the Euclidean algorithm and use it to prove some important number-theoretic lemmas. [Show less] 12/3/2017 We further use the Euclidean algorithm to investigate some linear diophantine equations. [Show less] 12/10/2017 End-of-quarter game. [Show less] 1/14/2018 Introduction to graph theory and geometry.Handouts: Lesson handout | Homework [Show less] 1/21/2018 More graphs and geometry [Show less] 1/28/2018 Continuation of graphs and geometry [Show less] 2/4/2018 Eulerian graphs and patallelograms. [Show less] 2/11/2018 Eulerian paths and parallelograms.Handouts: Lesson Handout | Homework | L4.2 Solution | L4.4 Solution [Show less] 2/25/2018 First lesson on game theory and continuation of geometry.Handouts: Lesson Handout | Homework [Show less] 3/4/2018 Winning/losing positions and circles.Handouts: Lesson Handout | Homework | L6.2 Solution | L6.5 Solution [Show less] 3/11/2018 Stealing strategies and relative positions of 2 circles.Handouts: Lesson Handout | Homework | H6.1 Solution | H7.1 Solution [Show less] 3/18/2018 Stealing strategies continuation, along with central angles and arcs on a circle. [Show less] 4/8/2018 Today we start learning a new powerful proof technique -- induction.Handouts: Lesson Handout | Homework [Show less] 4/15/2018 We proceed by applying induction to problems in combinatorics. [Show less] 4/22/2018 We proceed by applying induction to problems in algebra. Also: more inscribed angles.Handouts: Lesson Handout | Homework | L2.1 Solution | L2.6 Solution [Show less] 4/29/2018 This week, we look at applications of induction to arithmetic. Also: more inscribed anglesHandouts: Lesson Handout | Homework | L3.3 Solution | H3.3 Solution [Show less] 5/6/2018 We introduce bipartite graphs, as well as continue with cyclic quadrilaterals.Handouts: Lesson Handout | Homework | L4.3 Solution | H4.2 Solution [Show less] 5/13/2018 We continue with bipartite graphs and geometry.Handouts: Lesson Handout | L5.2 Solution | L5.4 Solution [Show less] 5/20/2018 We use the framework of bipartite graphs to investigate the Stable Marriage Problem. [Show less]