3Blue1Brown
What does area have to do with slope? | Chapter 9, Essence of calculus
Derivatives are about slope, and integration is about area. These ideas seem completely different, so why are they inverses?
Bozeman Science
AP Biology Practice 2 - Using Mathematics Appropriately
Paul Andersen explains how to use mathematics appropriately. He begins by emphasizing the important role that mathematics plays in the life sciences today and in that the future. He describes important mathematical equations in each of...
3Blue1Brown
What does area have to do with slope? | Essence of calculus, chapter 9
Derivatives are about slope, and integration is about area. These ideas seem completely different, so why are they inverses?
3Blue1Brown
But what is a partial differential equation? | DE2
The heat equation, as an introductory PDE.
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
All possible pythagorean triples, visualized
There are a few special right triangles many of us learn about in school, like the 3-4-5 triangle or the 5-12-13 triangle. Is there a way to understand all triplets of numbers (a, b, c) that satisfy a^2 + b^2 = c^2? There is! And it uses...
3Blue1Brown
Higher order derivatives | Footnote, Essence of calculus
What is the second derivative? Third derivative? How do you think about these?
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
All possible pythagorean triples, visualized
There are a few special right triangles many of us learn about in school, like the 3-4-5 triangle or the 5-12-13 triangle. Is there a way to understand all triplets of numbers (a, b, c) that satisfy a^2 + b^2 = c^2? There is! And it uses...
3Blue1Brown
Higher order derivatives | Essence of calculus, chapter 10
What is the second derivative? Third derivative? How do you think about these?
Bozeman Science
Linear Momentum
In this video Paul Andersen explains how the linear momentum is equal to the product of the mass of an object and the velocity of the center of mass. He uses video analysis software to calculate the velocity of an object and therefore...
SciShow Kids
Ramps A Super, Simple Machine!
Jessi and Squeaks brought home a whole bunch of books! But they aren't quite sure how to get them up the stairs into the house. Join them as they learn about ramps and how these simple machines help us with our work!
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?
Bozeman Science
Position vs. Time Graph - Part 2
Mr. Andersen shows you how to read a position vs. time graph to determine the velocity of an object. Objects that are accelerating are covered in this podcast. He also introduces the tangent line (or the magic pen).
SciShow
Why Real Avalanches Aren't Like Cartoons
Avalanches can be powerful and dangerous, but not all of them are created equal, and not everything you've seen on TV is likely to actually set one off.
Crash Course
ANOVA - Crash Course Statistics
Today we're going to continue our discussion of statistical models by showing how we can find if there are differences between multiple groups using a collection of models called ANOVA. ANOVA, which stands for Analysis of Variance is...
Bozeman Science
Position vs. Time Graph - Part 1
Mr. Andersen shows you how to interpret a position vs. time graph for an object with constant velocity. The slope of the line is used to find the velocity. A phet simulation is also included.
Crash Course
Playing with Power P-Values Pt 3 - Crash Course Statistics
We're going to finish up our discussion of p-values by taking a closer look at how they can get it wrong, and what we can do to minimize those errors. We'll discuss Type 1 (when we think we've detected an effect, but there actually isn't...
Bozeman Science
Equipotential Lines
In this video Paul Andersen explains how equipotential lines show equal electric potential in an electric field. Equipotential lines can be created from scalar values or by observing the electric field lines. An charged object can move...
MinutePhysics
Protecting Privacy with MATH (Collab with the Census)
This video was made in collaboration with the US Census Bureau and fact-checked by Census Bureau scientists. Any opinions and errors are my own. For more information, visit...
Bozeman Science
Motion
In this video Paul Andersen describes motion as the movement of an object over time. Displacement, velocity and acceleration are all defined. An experiment in motion is used to calculate velocity and acceleration of a tennis ball.
Bozeman Science
The Rate Law
Paul Andersen explains how the rate law can be used to determined the speed of a reaction over time. Zeroth-order, first-order and second-order reactions are described as well as the overall rate law of a reaction. The rate of a...
TED-Ed
TED-Ed: Can you solve the Alice in Wonderland riddle? | Alex Gendler
After many adventures in Wonderland, Alice has once again found herself in the court of the temperamental Queen of Hearts. She's about to pass through the garden undetected, when she overhears the king and queen arguing that 64 is the...
Bozeman Science
Position, Velocity and Acceleration
In this video Paul Andersen explains for the position of an object over time can be used to calculate the velocity and acceleration of the object. If a net force acts on a object it will experience an acceleration.