Once you’ve established that curl F = 0, you know that F is the gradient of some potential ⱷ. You can use the Fundamental Theorem to evaluate ∫F.dr — if only you could find the potential function. In this video I go over a straighforward method of finding the potential function using partial integration. (Note: the sound quality gets wonky near the end but you can still hear what I’m explaining perfectly well. Apologies and I’ll figure out eventually why that happens.)
Author: tamethemathdemonadmin
A step-by-step example of how to find the area of a polygon
Finding the area of a polygon seems impossible given just the side length or just the length of a radius or apothegm. But here’s how to do it, step by step.
Here’s one of the things about complex numbers which is easier if you know it so well you don’t have to think about it: the formula for sin x. Nice and easy. Assumes you already know Euler’s formula, eix = cos x + i sin x.
A clear explanation of the epsilon-delta definition of a limit
Assuming you know the basics (tan=sin/cos, etc), here are strategies and examples for proving simple trig identities.
What are fraction exponents? Why is x⅓=∛x? Here’s an explanation.
You probably already know that 20=1. In fact any number to the power of 0 is one. But why?
Gauss was just ten years old when he discovered how to quickly add up a long series of numbers. Here I tell the story of how he outwitted his teacher and I also walk you through a mathematical proof.
A lively presentation of how to solve a two different word problems involving motion, using distance = rate * time. The text is a little small so click the “full screen” option to really see it. (I’ll redo this eventually — still learning ins and outs of Zoom!)