Squeaks went on a trip to the beach, and wants to tell Mister Brown all about it! And, we can learn all about the science that formed the beach, plus a guest appearance by Grady the tardigrade to talk all about the plants and animals in...

Did you know that the biggest animal that ever lived is still alive today? Let's learn all about what blue whales eat, where they live, and just how big they are, with Jessi and Squeaks!

There’s all sorts of weather out there, so Squeaks and Mister Brown are playing a game show where they will learn all about the different types!

Are the five senses really all that we use to take in the world around us, or is it a little more complex than that, with psychology playing a more prominent role than you might have thought?

Eigenvalues and eigenvectors are one of the most important ideas in linear algebra, but what on earth are they?

What is integration? Why is it computed as the opposite of differentiation? What is the fundamental theorem of calculus?

The formula for the cross product can feel like a mystery, or some kind of crazy coincidence. But it isn't. There is a fundamental connection between the cross product and determinants.

The general uncertainty principle, about the concentration of a wave vs the concentration of its fourier transform, applied to two non-quantum examples before showing what it means for the Heisenberg uncertainty principle.

A method for thinking about high-dimensional spheres, introduced in the context of a classic example involving a high-dimensional sphere inside a high-dimensional box.

Dr. Orion Berryman talks with Hank about the cool chemistry going on in his lab, and Jessi from Animal Wonders brings in Prickle the Hedgehog!

What is a change of basis, and how do you do it?

An introduction to the quantum behavior of light, specifically the polarization of light. The emphasis is on how many ideas that seem "quantumly weird" are actually just wave mechanics, applicable in a lot of classical physics.

What exactly are fractals? A common misconception is that they are shapes which look exactly like themselves when you zoom in. In fact, the definition has something to do with the idea of "fractal dimension".

You all had some questions that you really wanted answers to over the years, so we’ve compiled a bunch of the most popular videos answering those questions together in one place!

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

In 1955, the Supreme Court ruled unanimously that public schools should be racially integrated, and overturned the separate but equal doctrine established in Plessy v Ferguson decades before. This was made possible by a concerted legal...

An algorithm for solving continuous 2d equations using winding numbers.

A classic problem that Johann Bernoulli posed to famous mathematicians of his time, such as Newton, and how Bernoulli found an incredibly clever solution using properties of light.

What is the dot product? What does it represent? Why does it have the formula that it does? All this is explained visually.

An overview of gradient descent in the context of neural networks. This is a method used widely throughout machine learning for optimizing how a computer performs on certain tasks.

How does bitcoin work? What is a "block chain"? What problem is this system trying to solve, and how does it use the tools of cryptography to do so?

How do you think about a non-square matrix as a transformation?

The cross product is a way to multiple to vectors in 3d. This video shows how to visualize what it means.

An overview of what a neural network is, introduced in the context of recognizing hand-written digits.