|10/6/2019| [Show less]
We start off the new year with some problems from the Moscow Math Olympiad.
|10/13/2019| [Show less]
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| [Show less]
We continue our probability unit with a worksheet on Conditional Probability. This includes the Law of Total Probability and Bayes' Theorem.
|10/27/2019| [Show less]
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| [Show less]
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| [Show less]
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| [Show less]
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| [Show less]
We will explore roots of unity and some geometric aspects of the complex numbers.
|12/8/2019| [Show less]
For the last meeting of the quarter we will split up into groups and compete!
|1/12/2020| [Show less]
We start off the new (calendar) year with something you probably haven't seen before: tropical geometry. Throw out everything you know about addition and multiplication; we define new operations and explore polynomials under the new rules.
|1/17/2020|| [Show less] |
|1/26/2020| [Show less]
In the first part of a two (or three) part series on cardinality, we deal with bijections and give a proper definition for the cardinality of a set.
|2/2/2020| [Show less]
We continue with part 2 of our Infinity sequence. This time we define cardinality through injectivity and bijectivity.
|2/9/2020|| [Show less] |
|2/23/2020| [Show less]
We start off our two week unit on Point Mass Geometry. This is a topic that lets you get the nice results of planar geometry without the tedious work!
|3/1/2020|| [Show less] |
|3/8/2020| [Show less]
We continue working on the second handout on point mass geometry. This gets into negative masses and barycentric coordinates.
|3/15/2020| [Show less]
For our final (virtual) meeting of the quarter, we will be hosting a Kahoot competition over the Zoom application. Please make sure to download the app at https://zoom.us/download and join the meeting from 4-6 pm at the link sent via email. See you there!
|4/5/2020| [Show less]
Introduction to formal proof writing. Sets, functions, basic combinatorics and number theory proofs