Instructional Video11:45
PBS

Topology vs "a" Topology

12th - Higher Ed
What exactly is a topological space?
Instructional Video4:02
TED-Ed

TED-Ed: Can you solve the passcode riddle? - Ganesh Pai

Pre-K - Higher Ed
In a dystopian world, your resistance group is humanity's last hope. Unfortunately, you've all been captured by the tyrannical rulers and brought to the ancient coliseum for their deadly entertainment. Will you be able to solve the...
Instructional Video6:13
3Blue1Brown

e to the pi i, a nontraditional take (old version)

12th - Higher Ed
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...
Instructional Video13:32
PBS

The Mathematics of Diffie-Hellman Key Exchange

12th - Higher Ed
Symmetric keys are essential to encrypting messages. How can two people share the same key without someone else getting a hold of it? Upfront asymmetric encryption is one way, but another is Diffie-Hellman key exchange.
Instructional Video29:30
3Blue1Brown

Pi hiding in prime regularities

12th - Higher Ed
A beutiful derivation of a formula for pi. At first, 1-1/3+1/5-1/7+1/9-.... seems unrelated to circles, but in fact there is a circle hiding here, as well as some interesting facts about prime numbers in the context of complex numbers.
Instructional Video5:38
SciShow

The Surprising Link Between Allergies and Suicide

12th - Higher Ed
Our mood is influenced in many ways by our environment, and researchers have discovered a possible connection between the pollen in our air and a rise in suicide.
Instructional Video15:42
Instructional Video30:42
3Blue1Brown

Pi hiding in prime regularities

12th - Higher Ed
A beutiful derivation of a formula for pi. At first, 1-1/3+1/5-1/7+1/9-.... seems unrelated to circles, but in fact there is a circle hiding here, as well as some interesting facts about prime numbers in the context of complex numbers.
Instructional Video2:07
TED-Ed

TED-Ed: Mysteries of vernacular: Zero - Jessica Oreck and Rachael Teel

Pre-K - Higher Ed
Though the first written number system can be dated back to 2500 years ago in Mesopotamia, a zero-like symbol did not appear until 7th century CE India. Jessica Oreck and Rachael Teel track the evolution of zero from a dot to the symbol...
Instructional Video6:13
3Blue1Brown

Understanding e to the pi i

12th - Higher Ed
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...
Instructional Video17:47
TED Talks

TED: What to trust in a "post-truth" world | Alex Edmans

12th - Higher Ed
Only if you are truly open to the possibility of being wrong can you ever learn, says researcher Alex Edmans. In an insightful talk, he explores how confirmation bias -- the tendency to only accept information that supports your personal...
Instructional Video9:57
PBS

Self-Replicating Robots and Galactic Domination

12th - Higher Ed
We'll soon be capable of building self-replicating robots. This will not only change humanity's future but reshape the galaxy as we know it.
Instructional Video4:10
SciShow

Plants. Can't. Count. - ...except they kinda can...

12th - Higher Ed
It seems silly to ask if plants can count, but even the New York Times has called Venus flytraps 'Plants That Can Count.' Is counting a thing plants can do?
Instructional Video16:29
3Blue1Brown

Who cares about topology? (Inscribed rectangle problem): Topology - Part 1 of 3

12th - Higher Ed
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.
Instructional Video17:07
TED Talks

TED: Fractals and the art of roughness | Benoit Mandelbrot

12th - Higher Ed
At TED2010, mathematics legend Benoit Mandelbrot develops a theme he first discussed at TED in 1984 -- the extreme complexity of roughness, and the way that fractal math can find order within patterns that seem unknowably complicated.
Instructional Video5:44
SciShow

Why Only Some Vaccines Need Booster Shots

12th - Higher Ed
Vaccines teach your immune system to recognize pathogens, but sometimes your body needs a bit of a reminder.
Instructional Video16:02
3Blue1Brown

The unexpectedly hard windmill question (2011 IMO, Q2)

12th - Higher Ed
Problem 2 from the 2011 IMO
Instructional Video17:22
TED Talks

TED: Why Brexit happened -- and what to do next | Alexander Betts

12th - Higher Ed
We are embarrassingly unaware of how divided our societies are, and Brexit grew out of a deep, unexamined divide between those that fear globalization and those that embrace it, says social scientist Alexander Betts. How do we now...
Instructional Video5:34
SciShow

A Vaccine for Asthma? #inmice | SciShow News

12th - Higher Ed
A vaccination to protect against allergic asthma may be in sight, as scientists this week publish promising results in mice. Also, the California Condor is making a comeback, and its genome is looking great!
Instructional Video13:50
3Blue1Brown

What's so special about Euler's number e? | Essence of calculus, chapter 5

12th - Higher Ed
What is the derivative of a^x? Why is e^x its own derivative? This video shows how to think about the rule for differentiating exponential functions.
Instructional Video16:56
Crash Course

How to Make an AI Read Your Handwriting (LAB)

12th - Higher Ed
John Green Bot wrote his first novel! Today, in our first ever Lab we’re going to program a neural network to recognize handwritten letters to convert the first part of John Green Bot’s novel into typed text. To do this we’re going to...
Instructional Video5:15
SciShow

The Beginning of the End of North Atlantic Right Whales? | SciShow News

12th - Higher Ed
Scientists say that we might be looking at the first extinction caused by whaling, and on an entirely different note, a discovery involving bed bugs and STIs.
Instructional Video7:51
SciShow

4 Weird Unsolved Mysteries of Math

12th - Higher Ed
There are lots of unsolved mysteries in the world of math, and many of them start off with a deceptively simple premise, like: What's the biggest couch you can slide around a 90-degree corner? Chapters MOVING SOFA PROBLEM 0:35 MOSER'S...
Instructional Video5:15
TED-Ed

TED-Ed: Can you solve the risky disk riddle? | James Tanton

Pre-K - Higher Ed
Your antivirus squad is up against a code that's hijacked your mainframe. What you've learned from other infected systems, right before they went dark, is that it likes to toy with antivirus agents in a very peculiar way— and you're the...