For top-scoring students. Date and details will be announced shortly.
The Brilliant Live Challenge: Fall 2012 was an olympiad-style math competition that was held on September 22. In order to qualify for the Live Challenge, finalists had to place at the 95th percentile or above in problem solving on Brilliant.org. 92 students took the Live Challenge, and the top 12 scorers received a box full of special prizes. They are, in order of ranking:
The top scorers also received various scholarships ranging from $250 to $2,500. The first place winner, Eldy, spent his scholarship on a brand new Macbook Air. Students in 4th place through 12th place received a subset of these prizes. Additionally, the top ten students in each region (50 students total) in the final week of problems leading up to the Live Challenge received a da Vinci catapult.
For qualifying Level 5 students.
This session builds on Mathematical Induction I. We will look at different variants of Mathematical Induction (non-standard, strong, forward-backward, etc), and apply them to a wide series of problems in different areas of mathematics.
Level 4 students who have attended Mathematical Induction I can petition Calvin to attend this session.
Held on January 30, 2013
For qualifying Level 4-5 students.
An incidence matrix displays the relationship between two classes of objects. We will apply this concept towards the adjacency matrix of a graph, and work our way up towards finite geometric sets like the Fano Plane.
Students should be familiar with the concept of double counting. Knowledge of Linear Algebra will be helpful, especially basic matrix manipulation.
Held on January 16, 2013
For qualifying Level 4-5 students.
Proof writing is one of the hardest aspects of mathematics in master. We will review several characteristics of a good proof, which would be useful in helping you write solutions to Brilliant problems. Student submitted solutions will be used for reference.
Held on January 02, 2013
For qualifying Level 4-5 students.
Rational numbers are numbers of the form p/q, where p and q are integers. In this session, we will prove the theorem that the non-trivial integer combination of radicals of square free integers cannot be 0. In particular, we will detail out how to approach questions similar to the Live Challenge and a recent Brilliant problem.
Students should read the blog posts Rational Numbers and Rational Numbers II before attending the session. Familiarity with the rational root theorem will be assumed.
Held on December 19, 2012
For qualifying Level 4-5 students.
Geometric transformations involve rotations, translations and scalar multiplications. In this session we completely classify these transformations and apply these transformations to solve challenging problems.
Held on December 12, 2012
For qualifying Level 4-5 students.
This session builds on Mathematical Induction I. We will look at different variants of Mathematical Induction (non-standard, strong, forward-backward, etc), and apply them to a wide series of problems in different areas of mathematics.
Level 4 students who have attended Mathematical Induction I can petition Calvin to attend this session.
Held on December 05, 2012
For qualifying Level 4-5 students.
This session builds on Mathematical Induction I. We will look at different variants of Mathematical Induction (non-standard, strong, forward-backward, etc), and apply them to a wide series of problems in different areas of mathematics.
Level 4 students who have attended Mathematical Induction I can petition Calvin to attend this session.
Held on November 28, 2012
For qualifying Level 3-5 students.
Mathematical Induction is a method of proof used to establish that a given statement is true for all natural numbers. This is done by showing that the first statement is true, and then by proving that if any statement is true, then so is the next one. We will look at different kinds of questions which can be proved by Standard Induction. This session covers the same set of material as the class on September 17.
Held on November 28, 2012