PBS
A Hierarchy of Infinities
There are different sizes of infinity. It turns out that some are larger than others. Mathematician Kelsey Houston-Edwards breaks down what these different sizes are and where they belong in The Hierarchy of Infinities.
Crash Course
War - Crash Course Statistics
Today we're going to discuss the role of statistics during war. From helping the Allies break Nazi Enigma codes and estimate tank production rates to finding sunken submarines, statistics have and continue to play a critical role on the...
TED-Ed
TED-ED: How to prove a mathematical theory - Scott Kennedy
Euclid of Alexandria revolutionized the way that mathematics is written, presented or thought about, and introduced the concept of mathematical proofs. Discover what it takes to move from a loose theory or idea to a universally...
Crash Course
Controlled Experiments - Crash Course Statistics
We may be living IN a simulation (according to Elon Musk and many others), but that doesn't mean we don't need to perform simulations ourselves. Today, we're going to talk about good experimental design and how we can create controlled...
PBS
How Infinity Explains the Finite
Peano arithmetic proves many theories in mathematics but does have its limits. In order to prove certain things you have to step beyond these axioms. Sometimes you need infinity.
3Blue1Brown
The paradox of the derivative | Chapter 2, Essence of calculus
An introduction to what a derivative is, and how it formalizes an otherwise paradoxical idea.
TED-Ed
TED-ED: An athlete uses physics to shatter world records - Asaf Bar-Yosef
When Dick Fosbury couldn't compete against the skilled high jumpers at his college, he tried jumping in a different way -- backwards. Fosbury improved his record immediately and continued to amaze the world with his new technique all the...
TED-Ed
TED-ED: Why do airlines sell too many tickets? - Nina Klietsch
Have you ever sat in a doctor's office for hours, despite having an appointment? Has a hotel turned down your reservation because it's full? Have you been bumped off a flight that you paid for? These are all symptoms of overbooking, a...
TED-Ed
TED-Ed: Can you solve the multiplying rabbits riddle? - Alex Gendler
After years of experiments, you’ve finally created the pets of the future – nano-rabbits! They’re tiny, they’re fuzzy ... and they multiply faster than the eye can see. But a rival lab has sabotaged you, threatening the survival of your...
TED-Ed
TED-Ed: How does your smartphone know your location? - Wilton L. Virgo
GPS location apps on a smartphone can be very handy when mapping a travel route or finding nearby events. But how does your smartphone know where you are? Wilton L. Virgo explains how the answer lies 12,000 miles over your head, in an...
Crash Course
Bayes in Science and Everyday Life - Crash Course Statistics
Today we're going to finish up our discussion of Bayesian inference by showing you how we can it be used for continuous data sets and be applied both in science and everyday life. From A/B testing of websites and getting a better...
TED-Ed
TED-ED: Did Shakespeare write his plays? - Natalya St. Clair and Aaron Williams
Some people question whether Shakespeare really wrote the works that bear his name _ or whether he even existed at all. Could it be true that the greatest writer in the English language was as fictional as his plays? Natalya St. Clair...
SciShow
How a Butterfly’s Wingbeat CAN Change the Weather
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.
TED-Ed
TED-Ed: What gives a dollar bill its value? - Doug Levinson
The value of money is determined by how much (or how little) of it is in circulation. But who makes that decision, and how does their choice affect the economy at large? Doug Levinson takes a trip into the United States Federal Reserve,...
TED-Ed
TED-Ed: The math behind Michael Jordan's legendary hang time - Andy Peterson and Zack Patterson
Michael Jordan's legendary slam dunk from the free throw line has been calculated at 0.92 seconds of pure hang time. But how many seconds could Jordan have gotten were he doing the same jump on Mars? Or Jupiter? Andy Peterson and Zack...
SciShow
π 'N' Science
It's pi day! Hank explains why this irrational number is important to scientists, and discusses a bit of a controversy that surrounds it.
Crash Course
ANOVA - Crash Course Statistics
Today we're going to continue our discussion of statistical models by showing how we can find if there are differences between multiple groups using a collection of models called ANOVA. ANOVA, which stands for Analysis of Variance is...
3Blue1Brown
Linear transformations and matrices: Essence of Linear Algebra - Part 3 of 15
When you think of matrices as transforming space, rather than as grids of numbers, so much of linear algebra starts to make sense.
TED-Ed
TED-ED: Making sense of irrational numbers - Ganesh Pai
Like many heroes of Greek myths, the philosopher Hippasus was rumored to have been mortally punished by the gods. But what was his crime? Did he murder guests or disrupt a sacred ritual? No, Hippasus's transgression was mathematically...
Crash Course
Chi-Square Tests - Crash Course Statistics
Today we're going to talk about Chi-Square Tests - which allow us to measure differences in strictly categorical data like hair color, dog breed, or academic degree. We'll cover the three main Chi-Square tests: goodness of fit test, test...
TED-Ed
TED-ED: Can you solve the seven planets riddle? - Edwin F. Meyer
Your interstellar police squad has tracked a group of criminals to a cluster of seven planets. Now you must apprehend them before their reinforcements arrive. Of course, the fugitives won't just stay put _ they'll try to dodge you by...
TED-Ed
TED-Ed: The mathematical secrets of Pascal's triangle - Wajdi Mohamed Ratemi
Pascal's triangle, which at first may just look like a neatly arranged stack of numbers, is actually a mathematical treasure trove. But what about it has so intrigued mathematicians the world over? Wajdi Mohamed Ratemi shows how Pascal's...