An introduction to an interactive experience on why quaternions describe 3d rotations

Fourier series, from the heat equation to sines to cycles.

The product rule and chain rule in calculus can feel like they were pulled out of thin air, but is there an intuitive way to think about them?

An introduction to an interactive experience on why quaternions describe 3d rotations

Derivatives are about slope, and integration is about area. These ideas seem completely different, so why are they inverses?

Taylor series are extremely useful in engineering and math, but what are they? This video shows why they're useful, and how to make sense of the formula.

Solving the heat equation.

Derivatives are about slope, and integration is about area. These ideas seem completely different, so why are they inverses?

The product rule and chain rule in calculus can feel like they were pulled out of thin air, but is there an intuitive way to think about them?

What is a differential equation, the pendulum equation, and some basic numerical methods

After a friend of mine got a tattoo with a representation of the cosecant function, it got me thinking about how there's another sense in which this function is a tattoo on math, so to speak.

Taylor series are extremely useful in engineering and math, but what are they? This video shows why they're useful, and how to make sense of the formula.

Taylor series are extremely useful in engineering and math, but what are they? This video shows why they're useful, and how to make sense of the formula.

Introduction to the derivatives of polynomial terms and trigonometric functions thought about geometrically and intuitively. The goal is for these formulas to feel like something the student could have discovered, rather than something...

CALCULUS! Today we take our first steps into the language of Physics; mathematics. Every branch of science has its own way to describe the things that it investigates. And, with Physics, that's math. In this episode, Shini talks us...

In this tutorial I show how I synthesized the sound of hydrogen for the "Sound of Hydrogen" video using mathematica - it's a little technical, but you've been requesting it!

Derivatives are about slope, and integration is about area. These ideas seem completely different, so why are they inverses?

You’re probably familiar with the basics of magnets already: They have a north pole and a south pole. Two of the same pole will repel each other, while opposites attract. Only certain materials, especially those that contain iron, can be...

After a friend of mine got a tattoo with a representation of the cosecant function, it got me thinking about how there's another sense in which this function is a tattoo on math, so to speak.

New ReviewIn this video we are going to understand how we can identify and remember all of the Pythagorean identities

New ReviewIn this video we are going over how use the height of an oblique triangle to determine if you have 1 2 or no triangles

New ReviewIn this video I take a trigonometric expression and multiply it by another trig expression.

New ReviewWhen you need to remember how to graph the sine and cosine graphs quickly there is one thing you should remember. In this video that is what I want to explore with you.

New ReviewIn this video I am going to work through how to evaluate a basic trig function using the unit circle and one more difficult