PBS
Is ACTION The Most Fundamental Property in Physics?
It’s about time we discussed an obscure concept in physics that may be more fundamental than energy and entropy and perhaps time itself. That’s right - the time has come for Action.
3Blue1Brown
The three utilities puzzle with math/science YouTubers
A classic puzzle in graph theory, the "Utilities problem", a description of why it is unsolvable on a plane, and how it becomes solvable on surfaces with a different topology.
Bozeman Science
Blended Learning Cycle
Paul Andersen explains how he is using the blended learning cycle in his science classroom. This cycle moves through the following steps; QUestion, Investigation/Inquiry, Video, Elaboration, Review and Summary quiz
3Blue1Brown
Rediscovering Euler's formula with a mug (not that Euler's formula) - Part 4 of 4
A classic puzzle in graph theory, the "Utilities problem", a description of why it is unsolvable on a plane, and how it becomes solvable on surfaces with a different topology.
3Blue1Brown
Science YouTubers attempting a graph theory puzzle
A classic puzzle in graph theory, the "Utilities problem", a description of why it is unsolvable on a plane, and how it becomes solvable on surfaces with a different topology.
3Blue1Brown
Circle Division Solution: Circle Division - Part 2 of 2
Moser's circle problem, and its solution.
3Blue1Brown
How pi was almost 6.283185
Happy pi day! Did you know that in some of his notes, Euler used the symbol pi to represent 6.28..., before the more familiar 3.14... took off as a standard?
3Blue1Brown
Euler's Formula and Graph Duality - Part 2 of 4
A very clever proof of Euler's characteristic formula using spanning trees.
3Blue1Brown
Euler's Formula and Graph Duality
A very clever proof of Euler's characteristic formula using spanning trees.
TED-Ed
TED-ED: How the K_nigsberg bridge problem changed mathematics - Dan Van der Vieren
You'd have a hard time finding the medieval city K_nigsberg on any modern maps, but one particular quirk in its geography has made it one of the most famous cities in mathematics. Dan Van der Vieren explains how grappling with...
3Blue1Brown
How pi was almost 6.283185...
A bit of the history behind how we came to use the symbol "pi" to represent what it does today, and how Euler used it to refer to several different circle constants.
Curated Video
Where is the Centre of a Triangle?
The answer is not as straight-forward as it might seem, because all triangles have more than one centre! How many centres does a triangle have, and how do you find them? Maths - Shape A Twig Math Film. Reinforce and extend the learning...
Curated Video
The Seven Bridges of Konigsberg
An early precursor to topology, this problem asks, 'is it possible to cross each of the town's bridges exactly once?' and led to the development of Eulerian paths. Maths - Shape A Twig Math Film. Reinforce and extend the learning...
APMonitor
Simulate Differential Equations with Python ODEINT
The heights of a dual gravity drained tank are solved with the Scipy.integrate function ODEINT. This example demonstrates how to solve the differential equation and plot the solution.
Virtually Passed
Optimal path to swim across river in least time - Math Puzzle (HARD)
0:00 - Introduction 0:29 - Speeds 1:23 - Total time 1:47 - Constraint 2:37 - Euler Lagrange 4:20 - Solution 5:05 - MATLAB solution 5:42 - MATLAB solution using solver
CuriosaMente
¿Qué es el Número de Euler? Y la ecuación más hermosa del mundo
¿De dónde sale el número de Euler? ¿Y qué tiene que ver con la ecuación más hermosa de las matemáticas? ¿Para qué sirve? El número "e", o constante de Euler, es una constante matemática fundamental utilizada en diversas áreas de las...
CuriosaMente
¿Qué es Pi?
Un número asombroso: el singular π Pi (π) es una constante matemática que expresa la relación entre el diámetro de un círculo y su perímetro. A lo largo de la historia, los matemáticos han intentado calcular Pi con mayor precisión. Pi es...
Zach Star
The second most beautiful equation and its surprising applications
The second most beautiful equation and its surprising applications
Flipping Physics
A Brief Look at the Force of Drag using Numerical Modeling (or The Euler Method)
This is how you include air resistance in projectile motion. It requires the Drag Force and Numerical Modeling (or the Euler Method). It is also very helpful to use a spreadsheet to do the calculations. I prove a statement from a...
APMonitor
Euler's Method for ODEs in Excel
Euler's method can be used to simulate and optimize differential equations in Excel. This tutorial demonstrates the steps to set up the simulation and then match the response to data.
Press Association
Deputy Mayor of London for Transport discusses the opening of the Ulez scrappage scheme
Deputy Mayor of London for Transport, Seb Dance, discusses the opening of the Ulez scrappage scheme which will will cover all London boroughs from 29 August. He addresses some concerns and criticisms of the scheme. Every Londoner with a...
Curated OER
Compound Interest and e (Part 2)
Sal continues to look at changing the length of compounding time, from daily to hourly compounding interest. Now he is able to show that compounding 100% annual interest converges on the number 2.71É or e as the number of compounding...