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 change of basis, and how do you do it?

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

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

In the card game SET, what is the maximum number of cards you can deal that might not contain a SET?

If you've ever been part of a huge crowd, like at a sporting event, you've probably seen people clap, sing, and chant together in sync. How do big groups of individuals all manage to do the same thing at the same time, even when there's...

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.

Find out how time and space switch roles when we move beyond the event horizon of the black hole.

Robot design commonly mimics the abilities of their human creators, but some researchers have been inspired by a possibly unexpected creature: an ant.

Could DAOs, or "decentralized autonomous organizations," be the key to building the next great city? Experimental urbanist Scott Fitsimones shares how these mission-driven, blockchain-governed, collectively owned organizations could...

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

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

Some foundational ideas in linear algebra: Span, linear combinations, and linear dependence.

Fevers are one of our best weapons against infections, but they don't work like you might think.

When cancer cells are closely packed together in a tumor, they're able to communicate with each other and coordinate their movement throughout the body. What if we could interrupt this process? In this accessible talk about cutting-edge...

Some foundational ideas in linear algebra: Span, linear combinations, and linear dependence.

Inside you, a daily battle is being waged and your immune system is at the frontline. Most of the time, you may not even notice it's there, but over the course of your life your immune system will guard you against hundreds of...

You’re a vampire hunter entering the enemy’s lair. Can you outsmart this tricky brainteaser and vanquish the vampires? -- You’ve stealthily descended into the darkness of a vampire cave, setting a sequence of mirrors as you go. When...

In this episode we talk about dimensions and how we know that we live in 3D (or do we?).

Consider the following scenario: a highly infectious, sometimes deadly respiratory virus infects humans for the first time. It spreads rapidly worldwide, and the WHO declares a pandemic. The death toll starts to rise and everyone is...

In this short math video we will use function notation to translate a function. We will understand that translating a function down impacts the y-coordinate of EVERY point on the function. We will rewrite the function by subtracting 4...

This video, entitled "Coordinates of Translations," shows how two-dimensional figures can be translated on a coordinate plane.

A video entitled "Examine Unknown Triangles" that covers how to use the distance formula and the converse of the Pythagorean theorem to see if triangles are right triangles.