Mathematics explains the workings of the universe, from particle physics to engineering and economics. Math is even closely related to music, and their common ground has something to do with a Rubik's Cube puzzle. Michael Staff explains...

Drawing curves that fill all of space, and a philosophical take on why mathematics about infinite objects can still be useful in finite contexts.

Evan Grant demonstrates the science and art of cymatics, a process for making soundwaves visible. Useful for analyzing complex sounds (like dolphin calls), it also makes complex and beautiful designs.

Is it better to be lucky or good? Should we trust our gut feelings or rely on probabilities and careful analysis when making important decisions? In this quick talk, professional poker player Liv Boeree shares three strategies she's...

So, what exactly is a scientific revolution? And are they more than just moments in time Historians use to mark the beginning and ending of things through time? In this episode we'll look into some ideas and people named Nick and how...

You or someone you know may have struggled to get a cowlick to just stay down already, but you can take solace in the fact that these inconvenient hair tufts have a lot to teach us about the world around us.

After much debate, the realm has decided dragon jousting may not be the best way to choose its leaders, and has begun transitioning to democracy. Your company was hired to survey the citizens of the land and predict which candidate will...

We don't think of pocket calculators as being all that special these days, but in reality their rise coincided with many of the innovations we take for granted today.

What is the second derivative? Third derivative? How do you think about these?

What’s irrational and never ends? Pi! Hank explains how we need pi to explain some of the most basic but most important principles of the universe, in honor of Pi Day.

Imagine a group of people. How big do you think the group would have to be before there's more than a 50% chance that two people in the group have the same birthday? The answer is - probably lower than you think. David Knuffke explains...

There's a birthday party at the fort, for one of history's most important scientists, Isaac Newton!

What are limits? How are they defined? How are they used to define the derivative? What is L'Hospital's rule?

What if, no matter how strong your password was, a hacker could crack it just as easily as you can type it? In fact, what if all sorts of puzzles we thought were hard turned out to be easy? Mathematicians call this problem P vs. NP, it...

Ragnarok: The fabled end of the world, when giants, monsters, and Norse gods battle for the future. The gods were winning until the great serpent Jörmungandr emerged. It swallowed Valhalla and contorted itself across the land. Odin has...

You're a biologist on a mission to keep the rare honeybee Apis Trifecta from going extinct. The last 60 bees of the species are in your terrarium. You've already constructed wire frames of the appropriate size and shape. Now you need to...

Maybe you'd like to just hear about one topic for a while. We understand. Thus, we've created our Compilation Series. In this first (and longest) compilation video, we look at some of our videos about Engineering. Sabrina helps us to...

Smuggling yourself aboard the rogue submarine was the easy part. Hacking into the nuclear missile launch override — a little harder. And you've got a problem: you don't have the override code. You know you need the same numbers that were...

In 1812, four men at Cambridge University met for breakfast. What began as an impassioned meal grew into a new scientific revolution, in which these men -- who called themselves “natural philosophers” until they later coined “scientist”...

How to count in binary, and how this lets you count to 1023 on two hands.

An overview of backpropagation, the algorithm behind how neural networks learn.

Kiran Bir Sethi shows how her groundbreaking Riverside School in India teaches kids life's most valuable lesson: "I can." Watch her students take local issues into their own hands, lead other young people, even educate their parents.

A visual for derivatives which generalizes more nicely to topics beyond calculus. Thinking of a function as a transformation, the derivative measure how much that function locally stretches or squishes a given region.

How to think about matrix multiplication visually as successively applying two different linear transformations.