A quick way to compute eigenvalues of a 2x2 matrix

What is a vector space? Even though they are initial taught in the context of arrows in space, or with vectors being lists of numbers, the idea is much more general and far-reaching.

What is a vector space? Even though they are initial taught in the context of arrows in space, or with vectors being lists of numbers, the idea is much more general and far-reaching.

What is a vector space? Even though they are initial taught in the context of arrows in space, or with vectors being lists of numbers, the idea is much more general and far-reaching.

The rules of multiplication extend beyond multiplying 2 whole numbers. Here are some of the others.

In this video, we work through a few examples of polynomial long division, and we relate it to long division of constants (regular numbers).

In this video, we factor polynomials with long division. Specifically, we look at examples where there is a "missing term," and we discover how to rewrite the polynomial so that it factors nicely.

In this video, we define rational functions and examine how to graph simple rational functions as transformations to the reciprocal function.

This is the first of my videos on factoring polynomials using the box method. Factoring polynomials is never easy, but I've seen several different strategies and I love the box method!

This is the third of my videos on factoring polynomials using the box method. Factoring polynomials is never easy, but I've seen dozens of different strategies and the box method is the BEST

This video explains how to multiply polynomials with the box method. The box method is simply a graphic organizer for multiplying polynomials with distribution

In this math video we will learn how to multiply variables with exponents. We will begin by identifying each term in the given algebraic expression. We will consider the expression inside the parentheses to determine these terms are not...

In this video, we will understand that machine learning is nothing but a geometry problem and see how it works for classification and regression. This clip is from the chapter "Machine Learning Basics" of the series "Data Science...

In this video we are going to review how to find and write the end behavior of polynomials. We will do this by covering a couple of basic examples and then work our way up to some more advanced examples ⭐ Completing the Square Problems...

“Combining Factoring Techniques” illustrates how to use different techniques of factoring to fully factor polynomial equations.

Quantum physicist Artur Ekert (Oxford and NUS) describes how aspects of computational complexity are harnessed by cryptosystems like RSA (Rivest–Shamir–Adleman) which is a public-key cryptosystem that is widely used for secure data...

This video will discuss examples to find approximate solutions by graphing, using technology. Equations of the form f(x) = g(x) will be solved, where f(x) and g(x) may be linear, polynomial, rational, absolute value, exponential, or...

Why imaginary numbers are needed to understand the radius of convergence

The Sierpinski-Mazurkiewicz Paradox (is really weird)

How you can solve dice puzzles with polynomials

Because of the tremendous variety of shapes of their graphs, polynomial functions are important tools for modeling phenomena in a wide range of fields such as science, engineering, medicine and finance. But since polynomial functions are...

In the previous lecture we saw that although a rational function may have any number of vertical asymptotes or no vertical asymptotes, rational functions will always have exactly one non-vertical asymptote. Unlike vertical asymptotes, a...

Although a rational function may have any number of vertical asymptotes or no vertical asymptotes, rational functions will always have exactly one non-vertical asymptote. Since a function's value is undefined at a vertical asymptote, its...

In the previous lecture, we saw examples of x values that cause a rational function's numerator to be zero, where those x values produce x-axis intercepts in the function's graph. We also saw x values that cause denominator zeros that...