TED Talks
Arthur Benjamin: Teach statistics before calculus!
Someone always asks the math teacher, "Am I going to use calculus in real life?" And for most of us, says Arthur Benjamin, the answer is no. He offers a bold proposal on how to make math education relevant in the digital age.
3Blue1Brown
Circle Division Solution: Circle Division - Part 2 of 2
Moser's circle problem, and its solution.
PBS
Singularities Explained
Mathematician Kelsey Houston-Edwards explains exactly what singularities are and how they exist right under our noses.
TED-Ed
TED-Ed: A riddle of ice and fire dragons | Henri Picciotto
It's your first day as Center Realm's official cartographer, and you've already got a big problem. Center Realm is home to three elder dragons: two ice, one fire, and they've lived in harmony for centuries. But scouts have sighted three...
3Blue1Brown
Derivative formulas through geometry | Chapter 3, Essence of calculus
Introduction to the derivatives of polynomial terms and trigonometric functions thought about geometrically and intuitively. The goal is for these formulas to feel like something the student could have discovered, rather than something...
3Blue1Brown
Higher order derivatives: Essence of Calculus - Part 10 of 11
What is the second derivative? Third derivative? How do you think about these?
TED-Ed
TED-Ed: Pizza physics (New York-style) - Colm Kelleher
People love eating pizza, but every style of pie has a different consistency. If "New York-style"--thin, flat, and large--is your texture of choice, then you've probably eaten a slice that was as messy as it was delicious. Colm Kelleher...
3Blue1Brown
But what is a Neural Network? Deep learning - Part 1 of 4
An overview of what a neural network is, introduced in the context of recognizing hand-written digits.
3Blue1Brown
How pi was almost 6.283185
Happy pi day! Did you know that in some of his notes, Euler used the symbol pi to represent 6.28..., before the more familiar 3.14... took off as a standard?
TED Talks
Arthur Benjamin: A performance of "Mathemagic"
In a lively show, mathemagician Arthur Benjamin races a team of calculators to figure out 3-digit squares, solves another massive mental equation and guesses a few birthdays. How does he do it? He’ll tell you.
TED-Ed
TED-Ed: Can you solve the fortress riddle? | Henri Picciotto
Bad news: your worst enemies are at the gate. Your fledgling kingdom guards the world's only herd of tiny dino creatures. To you, they're sacred. To everyone else, they're food. The three closest nation-states have teamed up to smash...
3Blue1Brown
Nonsquare matrices as transformations between dimensions | Essence of linear algebra, footnote
How do you think about a non-square matrix as a transformation?
TED Talks
Randall Munroe: Comics that ask "what if?"
Web cartoonist Randall Munroe answers simple what-if questions ("what if you hit a baseball moving at the speed of light?") using math, physics, logic and deadpan humor. In this charming talk, a reader's question about Google's data...
3Blue1Brown
But what is the Fourier Transform? A visual introduction.
An animated introduction to the Fourier Transform, winding graphs around circles.
3Blue1Brown
Vectors, what even are they? Essence of Linear Algebra - Part 1 of 15
What is a vector? Is it an arrow in space? A list of numbers?
SciShow
IDTIMWYTIM Heisenberg Uncertainty Principle
The Heisenberg Uncertainty Principle might not mean what you think it means: Hank clears things up for us in this edition of IDTIMWYTIM, by distinguishing between the Uncertainty Principle and the Observer Effect, which are often conflated.
TED Talks
Stephen Lawler: Tour Microsoft's Virtual Earth
Microsoft's Stephen Lawler gives a whirlwind tour of Virtual Earth, moving up, down and through its hyper-real cityscapes with dazzlingly fluidity, a remarkable feat that requires staggering amounts of data to bring into focus.
TED Talks
Seth Shostak: ET is (probably) out there -- get ready
SETI researcher Seth Shostak bets that we will find extraterrestrial life in the next twenty-four years, or he'll buy you a cup of coffee. He explains why new technologies and the laws of probability make the breakthrough so likely --...
3Blue1Brown
Backpropagation calculus: Deep learning - Part 4 of 4
The math of backpropagation, the algorithm by which neural networks learn.
Be Smart
What's REALLY Warming the Earth?
As earth temperatures continue to rise, what's really to blame?
Crash Course
Education In Society: Crash Course Sociology
Today we’ll explore the history of education as a social institution, with a specific focus on how the US organizes its educational system. We’ll look at education through the lenses of some sociological paradigms: structural...
3Blue1Brown
Change of basis | Essence of linear algebra, chapter 9
What is a change of basis, and how do you do it?
3Blue1Brown
Euler's Formula and Graph Duality - Part 2 of 4
A very clever proof of Euler's characteristic formula using spanning trees.