3Blue1Brown
What they won't teach you in calculus
A visual for derivatives which generalizes more nicely to topics beyond calculus.
3Blue1Brown
What does area have to do with slope? Essence of Calculus - Part 9 of 11
Derivatives are about slope, and integration is about area. These ideas seem completely different, so why are they inverses?
3Blue1Brown
The determinant | Essence of linear algebra, chapter 5
The determinant has a very natural visual intuition, even though it's formula can make it seem more complicated than it really is.
MinutePhysics
Theory of Everything (intro)
A brief intro to the current theory of (almost) everything - the Standard Model of particle physics. It's like cake, only universal.
SciShow
A Raindrop Is a Raindrop, Even When It’s Metal
On earth it rains water, on the exoplanet WASP-76b, it rains liquid iron, but no matter what planet you're on, the rain drops there have a lot more in common than you might think.
TED-Ed
TED-Ed: Can you solve the birthday cake riddle? | Marie Brodsky
Your friend's birthday is tomorrow, and he's turning... well... you've forgotten. A ginormous cake has been prepared and your job is to sculpt his age as the chocolate centerpiece. The birthday boy is a giant, and you're afraid that if...
3Blue1Brown
Inverse matrices, column space and null space | Essence of linear algebra, chapter 7
How do you think about the column space and null space of a matrix visually? How do you think about the inverse of a matrix?
TED-Ed
TED-Ed: Can you solve the secret sauce riddle? | Alex Gendler
One of the top chefs from Pasta Palace has been kidnapped by operatives from Burger Bazaar hoping to learn the location of their secret sauce recipe. Little do they know that a third party— Sausage Saloon— has sent you, their top spy, to...
3Blue1Brown
Three-dimensional linear transformations | Essence of linear algebra, footnote
How to think of 3x3 matrices as transforming 3d space
3Blue1Brown
Linear combinations, span, and basis vectors | Essence of linear algebra, chapter 2
Some foundational ideas in linear algebra: Span, linear combinations, and linear dependence.
TED Talks
David Bolinsky: Visualizing the wonder of a living cell
Medical animator David Bolinsky presents 3 minutes of stunning animation that show the bustling life inside a cell.
3Blue1Brown
Visualizing the Riemann zeta function and analytic continuation
What is the Riemann zeta function? What is analytic continuation? This video lays out the complex analysis needed to answer these questions.
3Blue1Brown
Triangle of Power
Logarithms are confusing, but perhaps some alternate notation could make them more intuitive.
3Blue1Brown
Three-dimensional linear transformations | Essence of linear algebra, chapter 5
How to think of 3x3 matrices as transforming 3d space
TED-Ed
TED-Ed: Daniel Finkel: Can you solve the cuddly duddly fuddly wuddly riddle?
You've promised to get your son the cutest creature in creation: the cuddly. It's part of the Wuddly species, cousin to the terrifying duddly and the hideous fuddly. To make one, 100 eggs are placed in an incubator to undergo egg fusion,...
3Blue1Brown
Binary, Hanoi, and Sierpinski - Part 2 of 2
How counting in Ternary can solve a variant of the Tower's of Hanoi puzzle, and how this gives rise to a beautiful connection to Sierpinski's triangle.
SciShow
What Does "A 50% Chance of Rain" Actually Mean?
Your friendly local weather person says there's a 10% chance it will rain today, so you throw on your flip-flops and head out to enjoy a beautiful day. Next thing you know, you're running through puddles, trying to get out of a...
3Blue1Brown
Limits, L'Hopital's rule, and epsilon delta definitions: Essence of Calculus - Part 7 of 11
What are limits? How are they defined? How are they used to define the derivative? What is L'Hospital's rule?
3Blue1Brown
Visualizing the Riemann hypothesis and analytic continuation
What is the Riemann zeta function? What is analytic continuation? This video lays out the complex analysis needed to answer these questions.
TED-Ed
TED-Ed: Can you solve the feeding frenzy riddle? | Henri Picciotto
As Numberland's best detective, you thought you'd seen it all. But the desiccated corpses of prominent natural numbers have been showing up all over the city. A lockdown is ordered from sundown to sunrise, and it's still not enough to...
3Blue1Brown
Matrix multiplication as composition: Essence of Linear Algebra - Part 4 of 15
How to think about matrix multiplication visually as successively applying two different linear transformations.
TED-Ed
TED-Ed: Can you solve the riddle and escape Hades? | Dan Finkel
The underworld is overcrowded, and Zeus has ordered Hades to let some spirits out. Hades arranges all the souls of the dead in a line before Cerberus. When one of his three heads bites down on the soul in front of it, they'll get...
3Blue1Brown
Linear transformations and matrices | Essence of linear algebra, chapter 3
When you think of matrices as transforming space, rather than as grids of numbers, so much of linear algebra starts to make sense.