3Blue1Brown
The paradox of the derivative: Essence of Calculus - Part 2 of 11
An introduction to what a derivative is, and how it formalizes an otherwise paradoxical idea.
3Blue1Brown
Essence of calculus, chapter 1
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
Alan Turing: Great Minds
Hank introduces us to that great mathematical mind, Alan Turing, who, as an openly gay man in the early 20th century faced brutal prejudice that eventually led to his suicide, despite being a genius war hero who helped the Allies defeat...
3Blue1Brown
Integration and the fundamental theorem of calculus: Essence of Calculus - Part 8 of 11
What is integration? Why is it computed as the opposite of differentiation? What is the fundamental theorem of calculus?
3Blue1Brown
Higher order derivatives | Footnote, Essence of calculus
What is the second derivative? Third derivative? How do you think about these?
TED Talks
Arthur Benjamin: Teach statistics before calculus!
Someone always asks the math teacher, "Am I going to use calculus in real life?" And for most of us, says Arthur Benjamin, the answer is no. He offers a bold proposal on how to make math education relevant in the digital age.
3Blue1Brown
Derivative formulas through geometry | Chapter 3, Essence of calculus
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
Higher order derivatives: Essence of Calculus - Part 10 of 11
What is the second derivative? Third derivative? How do you think about these?
3Blue1Brown
Limits, L'Hôpital's rule, and epsilon delta definitions | Essence of calculus, chapter 7
What are limits? How are they defined? How are they used to define the derivative? What is L'Hospital's rule?
3Blue1Brown
The other way to visualize derivatives
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
But WHY is a sphere's surface area four times its shadow?
Two proofs for the surface area of a sphere
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...
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
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
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?
MinutePhysics
Why is Relativity Hard? | Special Relativity Chapter 1
Thanks to my friend Mark Rober for making the spacetime globe, and to Grant Sanderson (3blue1brown) for inspiration. This is the first in a series of videos about special relativity. This is definitely not an academic course, but it's...
3Blue1Brown
But why is a sphere's surface area four times its shadow?
Two proofs for the surface area of a sphere
3Blue1Brown
Implicit differentiation, what's going on here? | Essence of calculus, chapter 6
How to think about implicit differentiation in terms of functions with multiple inputs, and tiny nudges to those inputs.
3Blue1Brown
Divergence and curl: The language of Maxwell's equations, fluid flow, and more
Divergence, curl, and their relation to fluid flow and electromagnetism
3Blue1Brown
The paradox of the derivative | Chapter 2, Essence of calculus
An introduction to what a derivative is, and how it formalizes an otherwise paradoxical idea.
Crash Course
Newton and Leibniz: Crash Course History of Science
The standard story of the Scientific Revolution culminates with the long life of one man: Sir Isaac Newton—a humble servant of the Royal Mint, two-time parliamentarian, and a scientific titan whose name, along with Einstein’s, is...
3Blue1Brown
Limits | Chapter 7, Essence of calculus
What are limits? How are they defined? How are they used to define the derivative? What is L'Hospital's rule?