Is your mathematics student already showing a competitive spark at 8, 9, 10 years old? A math competition might be just the outlet they need to put their talents on display. Competitions are not just for middle and high schoolers—a good number of math challenges exist for the elementary-school crowd. These matches are a good […]
Math
Pi Day
March 14th, or 3/14, marks Pi day, a day to celebrate everyone’s favorite irrational number! But there’s way more to this infinite string of digits than just calculating circumferences.Therefore, this March 14th, let’s all take a moment to recognize why this number has become so astronomically famous. Here are some fun facts about Pi that […]
A Comprehensive Guide to Parametric Equations
In mathematics, parametric equations describe a pair of quantities as explicit functions of independent variables regarded as “parameters.” They are most commonly used to define the coordinates of points that comprise a geometric artifact such as a curve or surface, in which case the equations are referred to as a “parametric representation” or “parameterization of […]
An Algebraic and Geometric Approach to Eigenvalues and Eigenvectors
In linear algebra, we are introduced to eigenvectors and eigenvalues. While eigenvectors are vectors with a direction immutable by a transformation, eigenvalues are associated with the physical quantity by which the eigenvector is scaled. For the average student, most of these concepts can be difficult to grasp from a geometric perspective. That is why, in […]
AP Calculus AB: Implicit Differentiation
As the Advanced Placement (AP) testing season nears this spring, it is important to familiarize ourselves with the content matter. According to College Board, differentiation: implicit, composite, and inverse functions will be 9-13% of the test score in 2022. To develop a better understanding of implicit differentiation, we need a brief semantic breakdown of the […]
