3Blue1Brown
Linear combinations, span, and basis vectors: Essence of Linear Algebra - Part 2 of 15
Some foundational ideas in linear algebra: Span, linear combinations, and linear dependence.
3Blue1Brown
Cross products: Essence of Linear Algebra - Part 10 of 15
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: What's the difference between accuracy and precision? - Matt Anticole
When we measure things, most people are only worried about how accurate, or how close to the actual value, they are. Looking at the process of measurement more carefully, you will see that there is another important consideration:...
Crash Course
Supervised Machine Learning - Crash Course Statistics
We've talked a lot about modeling data and making inferences about it, but today we're going to look towards the future at how machine learning is being used to build models to predict future outcomes. We'll discuss three popular types...
3Blue1Brown
Olympiad level counting: How many subsets of {1,…,2000} have a sum divisible by 5?
Timestamps 0:00 - Puzzle statement and motivation 4:31 - Simpler example 6:51 - The generating function 11:52 - Evaluation tricks 17:24 - Roots of unity 26:31 - Recap and final trick 30:13 - Takeaways
3Blue1Brown
Who cares about topology? (Inscribed rectangle problem)
This is an absolutely beautiful piece of math. It shows how certain ideas from topology, such as the mobius strip, can be used to solve a slightly softer form of an unsolved problem in geometry.
TED-Ed
TED-ED: The mighty mathematics of the lever - Andy Peterson and Zack Patterson
Archimedes once said "Give me a place to stand, and I shall move the Earth." While the idea of a person moving such a huge mass on their own might sound impossible, chances are you've seen this idea in action at your local playground....
3Blue1Brown
But WHY is a sphere's surface area four times its shadow?
Two proofs for the surface area of a sphere
Curated Video
Mathematical Thinking - Crash Course Statistics
Today we’re going to talk about numeracy - that is understanding numbers. From really really big numbers to really small numbers, it's difficult to comprehend information at this scale, but these are often the types of numbers we see...
Crash Course
Unsupervised Machine Learning - Crash Course Statistics
Today we're going to discuss how machine learning can be used to group and label information even if those labels don't exist. We'll explore two types of clustering used in Unsupervised Machine Learning: k-means and Hierarchical...
TED-Ed
TED-Ed: Can you solve the airplane riddle? - Judd A. Schorr
Professor Fukan_, the famous scientist, has embarked on a new challenge - piloting around the world in a plane of his own design. There's just one problem: there's not enough fuel to complete the journey. Luckily, there are two other...
3Blue1Brown
What does genius look like in math? Where does it come from? (Dandelin spheres)
A beautiful proof of why slicing a cone gives an ellipse.
Crash Course
Derivatives: Crash Course Physics
CALCULUS! Today we take our first steps into the language of Physics; mathematics. Every branch of science has its own way to describe the things that it investigates. And, with Physics, that's math. In this episode, Shini talks us...
TED Talks
TED: What's so sexy about math? | Cedric Villani
Hidden truths permeate our world; they're inaccessible to our senses, but math allows us to go beyond our intuition to uncover their mysteries. In this survey of mathematical breakthroughs, Fields Medal winner Cedric Villani speaks to...
TED-Ed
TED-Ed: The murder of ancient Alexandria's greatest scholar - Soraya Field Fiorio
Dive into the life of one of Ancient Rome’s most powerful figures, Hypatia of Alexandria, a renowned scholar and political advisor to the city's leaders. -- In the city of Alexandria in 415 CE, the bishop and the governor were in a...
TED-Ed
TED-ED: Can you solve the dark coin riddle? - Lisa Winer
As a world-renowned treasure hunter, you have been searching for the legendary dungeon containing the stash of ancient Stygian coins. The wizard who owns the castle has even allowed you to have them, on one condition-you must solve his...
3Blue1Brown
Researchers thought this was a bug (Borwein integrals)
Correction: 4:12 The top line should not be there, as that integral diverges Timestamps 0:00 - The pattern 4:45 - Moving average analogy 10:41 - High-level overview of the connection 16:14 - What's coming up next
3Blue1Brown
Hilbert's Curve: Is infinite math useful?
Drawing curves that fill all of space, and a philosophical take on why mathematics about infinite objects can still be useful in finite contexts.
3Blue1Brown
Oh, wait, actually the best Wordle opener is not “crane”…
Contents: 0:00 - The Bug 3:31 - How the best first guess is chosen 8:54 - Does this ruin the game?
TED-Ed
TED-Ed: Can you solve the prisoner boxes riddle? - Yossi Elran
Your favorite band is great at playing musicbut not so great at being organized. They keep misplacing their instruments on tour, and it's driving their manager mad. Can you solve the brain-numbing riddle their manager assigns them and...
3Blue1Brown
Derivative formulas through geometry: Essence of Calculus - Part 3 of 11
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
Why do prime numbers make these spirals?
A curious pattern in polar plots with prime numbers, together with discussion of Dirichlet's theorem
TED-Ed
TED-ED: Why do people get so anxious about math? - Orly Rubinsten
Have you ever sat down to take a math test and immediately felt your heart beat faster and your palms start to sweat? This is called math anxiety, and if it happens to you, you're not alone: Researchers think about 20 percent of the...