Crash Course
What is Engineering?: Crash Course Engineering #1
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...
TED-Ed
TED-Ed: Game theory challenge: Can you predict human behavior? | Lucas Husted
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...
Bozeman Science
Hardy-Weinberg Punnett Square
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...
TED Talks
Marcus du Sautoy: Symmetry, reality's riddle
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...
3Blue1Brown
The determinant | Essence of linear algebra, chapter 6
The determinant has a very natural visual intuition, even though it's formula can make it seem more complicated than it really is.
3Blue1Brown
Why slicing a cone gives an ellipse
A beautiful proof of why slicing a cone gives an ellipse.
3Blue1Brown
The quick proof of Bayes' theorem
A short explanation of why Bayes' theorem is true, together with discussion on a common misconception in probability
Crash Course
How Computers Calculate - the ALU: Crash Course Computer Science
Today we're going to talk about a fundamental part of all modern computers. The thing that basically everything else uses - the Arithmetic and Logic Unit (or the ALU). The ALU may not have the most exciting name, but it is the...
TED-Ed
TED-Ed: Can you solve the world’s most evil wizard riddle?
The evil wizard MoldeVort has been trying to kill you for years, and today it looks like he’s going to succeed. But your friends are on their way, and if you can survive until they arrive, they should be able to help stop him. Can you...
Bozeman Science
Standard Deviation
In this video Paul Andersen explains the importance of standard deviation. He starts with a discussion of normal distribution and how the standard deviation measures the average distance from the mean, or the "spread" of data. He then...
3Blue1Brown
Ever wondered why slicing a cone gives an ellipse? It’s wonderfully clever!
A beautiful proof of why slicing a cone gives an ellipse.
TED-Ed
TED-Ed: Can you solve the cheating royal riddle? | Dan Katz
You're the chief advisor to an eccentric king who needs to declare his successor. He wants his heir to be good at arithmetic, lucky, and above all else, honest. So he's devised a competition to test his children, and ordered you to...
3Blue1Brown
A Curious Pattern Indeed: Circle Division - Part 1 of 2
Moser's circle problem. What is this pattern: 1, 2, 4, 8, 16, 31,...
SciShow
What Happens If You Drink a Glass of Heavy Water?
Heavy water, or deuterium oxide, has some important scientific applications, but let's say you're reeeeaallly thirsty... is it safe to drink?
TED-Ed
TED-Ed: Can you outsmart this logical fallacy? | Alex Gendler
Meet Lucy. She was a math major in college, and aced all her courses in probability and statistics. Which do you think is more likely: that Lucy is a portrait artist, or that Lucy is a portrait artist who also plays poker? How do we know...
Bozeman Science
Standard Error
Paul Andersen shows you how to calculate the standard error of a data set. He starts by explaining the purpose of standard error in representing the precision of the data. The standard error is based on the standard deviation and the...
TED-Ed
TED-Ed: Can you solve the Alice in Wonderland riddle? | Alex Gendler
After many adventures in Wonderland, Alice has once again found herself in the court of the temperamental Queen of Hearts. She's about to pass through the garden undetected, when she overhears the king and queen arguing that 64 is the...
SciShow
Choosing a Telescope: Bigger Isn't Always Better!
Before you take your relationship with space to a new level by getting a telescope, find out what you really need to make the most of your summer nights staring at the sky.
SciShow
Did We Find Longitude Thanks To A...Clock?
The equator is a clear and accurate line around Earth that makes measuring latitude a precise science, but when it came to figuring out how to do that with longitude, British sailors were at a loss. Until they devised a competition.
TED-Ed
TED-Ed: Daniel Finkel: Can you solve the unstoppable blob riddle?
A shooting star crashes onto Earth and a hideous blob emerges. It creeps and leaps, it glides and slides. It's also unstoppable: no matter what you throw at it, it just re-grows and continues its rampage. The only way to save the planet...
MinutePhysics
Taming Infinity
In this episode we explain how physicists can tease information out of infinity.
Crash Course
Intro to Algorithms: Crash Course Computer Science
Algorithms are the sets of steps necessary to complete computation - they are at the heart of what our devices actually do. And this isn’t a new concept. Since the development of math itself algorithms have been needed to help us...
Bozeman Science
Probability in Genetics: Multiplication and Addition Rules
Paul Andersen shows you how to use the rules of multiplication and addition to correctly solve genetics problems. The rule of multiplication can be applied to independent events in sequence. The rule of addition can be applied to...
SciShow
The Fibonacci Sequence: Nature's Code
Hank introduces us to the most beautiful numbers in nature - the Fibonacci sequence.