TED-Ed
TED-Ed: Newton's three-body problem explained | Fabio Pacucci
In 2009, researchers ran a simple experiment. They took everything we know about our solar system and calculated where every planet would be up to 5 billion years in the future. They ran over 2,000 simulations, and the astonishing...
PBS
The Phantom Singularity
Isaac Newton's Universal Law of Gravitation tells us that there is a singularity to be found within a black hole, but scientists and mathematicians have found a number of issues with Newton's equations. They don't always accurately...
3Blue1Brown
But what is a partial differential equation? | DE2
The heat equation, as an introductory PDE.
Bozeman Science
Mass and Energy
In this video Paul Andersen explains how mass can be converted to energy and energy can be converted to mass. The equation E=mc2 can be used to determine the amount of energy released from nuclear processes.
3Blue1Brown
Differential equations, studying the unsolvable | DE1
What is a differential equation, the pendulum equation, and some basic numerical methods
TED Talks
TED: Math is the hidden secret to understanding the world | Roger Antonsen
unlock the mysteries and inner workings of the world through one of the most imaginative art forms ever -- mathematics -- with Roger Antonsen, as he explains how a slight change in perspective can reveal patterns, numbers and formulas as...
PBS
What is Energy?
Energy is the most powerful and useful concept in all of physics, but what exactly is it?
Bozeman Science
Q10 - The Temperature Coefficient
In this video Paul Andersen defines Q10 as the ratio between reactions at different temperatures. He then gives you an example of how it could be calculated. He also includes extensions of other scientific phenomenon that could created...
Be Smart
Why Do You Love Your Family?
Why do we love people we're related to? Compared to strangers, why do we feel such a deep sense of connection with our family members? Sure, they're nice to us, we take care of each other, and we often live with them, but there has to be...
Bozeman Science
E=mc2
In this video Paul Andersen explains how the conservation of mass was replaced with the conservation of mass-energy when it was determined that they are equivalent. This famous equation not only show the mass-energy equivalence but can...
PBS
Solving the Impossible in Quantum Field Theory
The equations of quantum field theory allow us to calculate the behaviour of subatomic particles by expressing them as vibrations in quantum fields. But even the most elegant and complete formulations of quantum physics - like the Dirac...
TED Talks
TED: Community investment is the missing piece of climate action | Dawn Lippert
There's been explosive investment in new technologies aimed at decarbonizing the planet. But climate investor Dawn Lippert says something key is missing from this strategy: investment in the local people these solutions would affect...
3Blue1Brown
Inverse matrices, column space and null space | Essence of linear algebra, chapter 6
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?
TED Talks
TED: 10 years to transform the future of humanity -- or destabilize the planet | Johan Rockström
For the first time, we are forced to consider the real risk of destabilizing the entire planet, says climate impact scholar Johan Rockström. In a talk backed by vivid animations of the climate crisis, he shows how nine out of the 15 big...
Be Smart
The Odds of Finding Life and Love
Love is a complicated combination of brain chemicals and behavior that scientists are only just beginning to figure out. And it's remarkable that in every society that we have looked at on Earth, romantic love exists. So if love is so...
TED Talks
Jason Clay: How big brands can help save biodiversity
Convince just 100 key companies to go sustainable, and WWF's Jason Clay says global markets will shift to protect the planet our consumption has already outgrown. Hear how his extraordinary roundtables are getting big brand rivals to...
Bozeman Science
Conservation of Angular Momentum
In this video Paul Andersen explains that the angular momentum of a system will be conserved as long as there is no net external torque. Both point objects and extended objects are covered along with several examples.
TED-Ed
TED-Ed: Calculating the odds of intelligent alien life - Jill Tarter
Could there be intelligent life on other planets? This question has piqued imagination and curiosity for decades. Explore the answer with the Drake Equation -- a mathematical formula that calculates the possibility of undiscovered life.
MinutePhysics
Einstein's Biggest Blunder, Explained
This video is about how Albert Einstein made a mistake when applying the Field Equations of General Relativity to cosmology (in particular, to a static, constant density universe), and solved the problem by introducing the cosmological...
Amoeba Sisters
Hardy-Weinberg Equilibrium
Explore the Hardy-Weinberg Equilibrium equations with The Amoeba Sisters! Learn why this equation can be useful, its five assumptions, and how to calculate genotype and allele frequencies with p and q values! This video does assume the...
SciShow
Game Theory: The Science of Decision-Making
With up to ten years in prison at stake, will Wanda rat Fred out? Game theory is looking at human interactions through the lens of mathematics.
Bozeman Science
Electric Force
In this video Paul Andersen explains how electric force on an object inside a field can be calculated by multiplying the charge of the object (in C) times the electric field strength (in N/C).
PBS
Why the Universe Needs Dark Energy
We know the universe will continue to expand forever, so now we can begin to complete the first Friedmann equation, and determine the shape and geometry of our universe. At first glance, it would seem that the equation doesn't quite add...
Bozeman Science
Calculating the Electric Force
In this video Paul Andersen explains how you can use Coulomb's Law to determine the electric force between two charges. In Physics 1 students should be able to calculate the force between two charges and in Physics 2 students should be...