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.
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...
Crash Course
Love or Lust? Romeo and Juliet Part II: Crash Course English Literature
In which John Green returns to William Shakespeare's Romeo and Juliet to explore the themes of true love, lust, and whether Romeo and Juliet were truly, deeply in love, or they were just a pair of impetuous teens. How exactly did Romeo...
TED-Ed
TED-ED: What is the shape of a molecule? - George Zaidan and Charles Morton
A molecule is nearly all empty space, apart from the extremely dense nuclei of its atoms and the clouds of electrons that bond them together. When that molecule forms, it arranges itself to maximize attraction of opposite charges and...
Crash Course
Of Pentameter & Bear Baiting - Romeo & Juliet Part I: Crash Course English Literature
In which John Green examines Romeo & Juliet by William Shakespeare. John delves into the world of Bill Shakespeare's famous star-crossed lovers and examines what the play is about, its structure, and the context in which it was written....
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
What they won't teach you in calculus
A visual for derivatives which generalizes more nicely to topics beyond calculus. Thinking of a function as a transformation, the derivative measure how much that function locally stretches or squishes a given region.
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
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 Talks
Andrew Fitzgerald: Adventures in Twitter fiction
In the 1930s, broadcast radio introduced an entirely new form of storytelling; today, micro-blogging platforms like Twitter are changing the scene again. Andrew Fitzgerald takes a look at the (aptly) short but fascinating history of new...
TED Talks
Julie Cordua: How we can eliminate child sexual abuse material from the internet
Social entrepreneur Julie Cordua works on a problem that isn't easy to talk about: the sexual abuse of children in images and videos on the internet. At Thorn, she's building technology to connect the dots between the tech industry, law...
PBS
The Geometry of SET
In the card game SET, what is the maximum number of cards you can deal that might not contain a SET?
Bozeman Science
Contour Lines
In this video Paul Andersen explains how contour lines show areas of equal elevation or equal gravitational potential. Contour lines are used as an analogy for lines of equipotential in electric fields.
TED Talks
Michelle Kuo: The healing power of reading
Reading and writing can be acts of courage that bring us closer to others and ourselves. Author Michelle Kuo shares how teaching reading skills to her students in the Mississippi Delta revealed the bridging power of the written word --...
PBS
Is Buying Call of Duty a Moral Choice?
If you play video games, you've shot a gun. And those guns are REALISTIC. So real that many are actually LICENSED by IRL arms dealers. Which means that when you buy a video game, you're also putting money in the pockets of those gun...
3Blue1Brown
Inverse matrices, column space and null space: Essence of Linear Algebra - Part 7 of 15
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?
3Blue1Brown
The hardest problem on the hardest test
A geometry/probability question on the Putnam, a famously hard test, about a random tetrahedron in a sphere. This offers an opportunity not just for a lesson about the problem, but about problem-solving tactics in general.
Crash Course
Columbus, de Gama, and Zheng He! 15th Century Mariners. Crash Course World History
In which John Green teaches you about the beginning of the so-called Age of Discovery. You've probably heard of Christopher Columbus, who "discovered" America in 1492, but what about Vasco da Gama? How about Zheng He? Columbus gets a bad...
Crash Course
3D Graphics: Crash Course Computer Science
Today we’re going to discuss how 3D graphics are created and then rendered for a 2D screen. From polygon count and meshes, to lighting and texturing, there are a lot of considerations in building the 3D objects we see in our movies and...
TED Talks
Geoffrey West: The surprising math of cities and corporations
Physicist Geoffrey West has found that simple, mathematical laws govern the properties of cities -- that wealth, crime rate, walking speed and many other aspects of a city can be deduced from a single number: the city's population. In...
3Blue1Brown
e to the pi i, a nontraditional take (old version)
The enigmatic equation e^{pi i} = -1 is usually explained using Taylor's formula during a calculus class. This video offers a different perspective, which involves thinking about numbers as actions, and about e^x as something which turns...
Bozeman Science
AP Biology Lab 5: Cellular Respiration
Paul Andersen explains how a respirometer can be used to measure the respiration rate in peas, germinating peas and the worm. KOH is used to solidify CO2 produced by a respiring organism.
PBS
Are Virtual Video Game Economies Becoming Real?
The idea that a collection of pixels can be sold for actual money might be confusing to some, as they are neither true "objects" you can hold nor "ideas" that can be considered intellectual property. But despite the lack of tangibility,...
TED Talks
TED: My wish: Three actions for Africa | Bono
Musician and activist Bono accepts the 2005 TED Prize with a riveting talk, arguing that aid to Africa isn't just another celebrity cause; it's a global emergency.