Los Angeles Math Circle

LAMC Calendar // 2018-2019 Academic Year. Jump to:

For meetings prior to Fall 2018, visit the Circle Archive.

AdvancedBeginnersBreaking Numbers into PartsEarly Elementary IEarly Elementary IIHigh School IHigh School IIJunior CircleOlympiad Training
10/7/2018
We will introduce Gaussian integers in order to decide which integers can be written as a sum of two squares.
10/14/2018
We will wrap up the discussion of Gaussian integers and prove which integers are the sum of two squares.
10/21/2018
We introduce the Gini index, an economic metric to measure wealth inequality.
Handouts: Gini Index
10/28/2018
We introduce Legendre symbols and quadratic reciprocity to study residues modulo primes.
11/4/2018
We explore applications of quadratic reciprocity.
11/11/2018
Instead of our typical definition of addition and multiplication, tropical arithmetic looks at minimum and addition operations. We will graph and find roots of tropical polynomials.
11/18/2018
We will continue our study of tropical arithmetic by proving a version of the Fundamental Theorem of Algebra for tropical quadratic polynomials.
12/2/2018
12/9/2018