TED-Ed
TED-Ed: Chris Anderson (TED): Questions no one knows the answers to
TED curator Chris Anderson shares his obsession with questions that no one (yet) knows the answers to. A short intro leads into two questions: Why can't we see evidence of alien life? And how many universes are there?
3Blue1Brown
The Brachistochrone, with Steven Strogatz: Brachistochrone - Part 1 of 2
A classic problem that Johann Bernoulli posed to famous mathematicians of his time, such as Newton, and how Bernoulli found an incredibly clever solution using properties of light.
3Blue1Brown
The paradox of the derivative | Essence of calculus, chapter 2
An introduction to what a derivative is, and how it formalizes an otherwise paradoxical idea.
3Blue1Brown
Visualizing the chain rule and product rule | Chapter 4, Essence of calculus
The product rule and chain rule in calculus can feel like they were pulled out of thin air, but is there an intuitive way to think about them?
3Blue1Brown
Dot products and duality | Essence of linear algebra, chapter 9
What is the dot product? What does it represent? Why does it have the formula that it does? All this is explained visually.
3Blue1Brown
Cross products | Essence of linear algebra, Chapter 8
The cross product is a way to multiple to vectors in 3d. This video shows how to visualize what it means.
MinutePhysics
Is the Universe Entirely Mathematical feat. Max Tegmark
Is the Universe Entirely Mathematical feat. Max Tegmark
3Blue1Brown
What DO we know about turbulence?
A look at what turbulence is (in fluid flow), and a result by Kolmogorov regarding the energy cascade of turbulence.
PBS
When Pi is Not 3.14
You've always been told that pi is 3.14. This is true, but this number is based on how we measure distance. Find out what happens to pi when we change the way we measure distance.
TED Talks
Dan Meyer: Math class needs a makeover
Today's math curriculum is teaching students to expect -- and excel at -- paint-by-numbers classwork, robbing kids of a skill more important than solving problems: formulating them. Dan Meyer shows classroom-tested math exercises that...
3Blue1Brown
The Essence of Calculus - Part 1 of 11
An overview of what calculus is all about, with an emphasis on making it seem like something students could discover for themselves. The central example is that of rediscovering the formula for a circle's area, and how this is an...
SciShow
The Quest for Glueballs
The quantum world is weird. Today we're looking at a strange particle called a glueball that contains no matter...they're made of pure force!
3Blue1Brown
But what *is* a Neural Network? | Chapter 1, deep learning
An overview of what a neural network is, introduced in the context of recognizing hand-written digits.
TED-Ed
TED-Ed: Daniel Finkel: Can you solve the alien probe riddle?
Your team has developed a probe to study an alien monolith. It needs protective coatings — in red, purple and green — to cope with the environments it passes through. Can you figure out how to apply the colors so the probe survives the...
TED Talks
TED: Why specializing early doesn't always mean career success | David Epstein
A head start doesn't always ... well, help you get ahead. With examples from sports, technology and economics, journalist David Epstein shares how specializing in a particular skill too early in life may undermine your long-term...
3Blue1Brown
Cross products in the light of linear transformations | Essence of linear algebra chapter 8 part 2
The formula for the cross product can feel like a mystery, or some kind of crazy coincidence. But it isn't. There is a fundamental connection between the cross product and determinants.
3Blue1Brown
But how does bitcoin actually work?
How does bitcoin work? What is a "block chain"? What problem is this system trying to solve, and how does it use the tools of cryptography to do so?
3Blue1Brown
Cramer's rule, explained geometrically: Essence of Linear Algebra - Part 12 of 15
This rule seems random to many students, but it has a beautiful reason for being true.
3Blue1Brown
Nonsquare matrices as transformations between dimensions | Essence of linear algebra, chapter 8
How do you think about a non-square matrix as a transformation?
3Blue1Brown
Cross products | Essence of linear algebra, Chapter 10
The cross product is a way to multiple to vectors in 3d. This video shows how to visualize what it means.
TED-Ed
TED-ED: Music and math: The genius of Beethoven - Natalya St. Clair
How is it that Beethoven, who is celebrated as one of the most significant composers of all time, wrote many of his most beloved songs while going deaf? The answer lies in the math behind his music. Natalya St. Clair employs the...
3Blue1Brown
Eigenvectors and eigenvalues | Essence of linear algebra, chapter 10
Eigenvalues and eigenvectors are one of the most important ideas in linear algebra, but what on earth are they?
TED-Ed
TED-Ed: Dennis Shasha: Can you solve the stolen rubies riddle?
Townspeople are demanding that a corrupt merchant's collection of 30 rubies be confiscated to reimburse the victims of his schemes. The king announces that the fine will be determined through a game of wits between the merchant and the...
3Blue1Brown
Who (else) cares about topology? Stolen necklaces and Borsuk-Ulam
How a famous theorem in topology, the Borsuk-Ulam theorem, can be used to solve a counting puzzle that seems completely distinct from topology.