Our eyes are practically magical, but they cannot see everything. For instance, the naked eye cannot see the moment where all four of a horse's legs are in the air or the gradual life cycle of plants -- but cameras can capture these...

A silly poem encapsulating the ideas from the video about Euler's formula through graph theory.

What would it be like to have a limitless memory? Can the meaning of life be found in an infinite library? Is time a labyrinth or a single moment? Jorge Luis Borges explored these questions of infinity in his many works. His body of...

Energy is like the bestest best friend ever and yet, most of the time we take it for granted. Hank feels bad for our friend and wants us to learn more about it so that we can understand what it's trying to tell us - like...

Can you produce a rational number by exchanging infinitely many digits of pi and e?

The time it takes to you to tinkle is probably about the same as an elephant, even though an elephant's bladder is over 100 times larger. How can that be right? The answer is a combination of physiology and fluid dynamics.

Around 750-1250 CE, the Islamic empire made incredible scientific advancements that still influence many fields of research today. What we know about some of the great minds of that time, as well as what we’ve learned from modern...

An introduction to what a derivative is, and how it formalizes an otherwise paradoxical idea.

You may have heard of the butterfly effect, where butterflies flapping their wings somehow cause tornadoes. Although it seems pretty unlikely, butterflies can affect the weather, just not in the way you might think.

In 2011, a group of researchers conducted a study designed to find an impossible result. Their study involved real people, truthfully reported data, and commonplace statistical analyses. So how did they do it? The answer lies in a...

It turns out stereotypes can affect you-whether you believe in them or not.

It's pi day! Hank explains why this irrational number is important to scientists, and discusses a bit of a controversy that surrounds it.

When you think of matrices as transforming space, rather than as grids of numbers, so much of linear algebra starts to make sense.

Life is chaos and the universe tends toward disorder. But why? If you think about it, there are only a few ways for things to be arranged in an organized manner, but there are nearly infinite other ways for those same things to...

Paul Andersen explains how populations experience exponential. He begins by address the major players; N (population size) and r (growth rate). He models population growth in rabbits through four generations. He then shows you how to...

Talking at the US State Department this summer, Hans Rosling uses his fascinating data-bubble software to burst myths about the developing world. Look for new analysis on China and the post-bailout world, mixed with classic data shows.

Poets Felice Belle and Jennifer Murphy perform excerpts from their play "Other Women," which is created and directed by Monica L. Williams. In a captivating journey, they weave together stories full of laughter, loyalty, tragedy and...

Would mathematics exist if people didn't? Did we create mathematical concepts to help us understand the world around us, or is math the native language of the universe itself? Jeff Dekofsky traces some famous arguments in this ancient...

In which Hank shows you that, while it may seem like the Universe is messing with us, equilibrium isn't a cosmic trick. Here, he shows you how to calculate equilibrium constant & conditions of reactions and use RICE tables all with...

In our first episode of Crash Course Engineering, Shini explains what engineering is, and gives a brief overview of its four main branches (civil, mechanical, electrical, and chemical) as well as a look at some of the other fields of...

Given a range of integers from 0 to 100, what would the whole number closest to 2/3 of the average of all numbers guessed be? For example, if the average of all guesses is 60, the correct guess will be 40. The game is played under...

The world turns on symmetry -- from the spin of subatomic particles to the dizzying beauty of an arabesque. But there's more to it than meets the eye. Here, Oxford mathematician Marcus du Sautoy offers a glimpse of the invisible numbers...

In this video Paul Andersen explains how you can combine the power of a Punnett square for an entire gene pool. Hardy-Weinberg equilibrium will remains constant under several constrains and the probability square makes the information...

A beautiful proof of why slicing a cone gives an ellipse.