Derivatives are about slope, and integration is about area. These ideas seem completely different, so why are they inverses?

There are many stories that can be told about World War II, from the tragic to the inspiring. But perhaps one of the most heart-rending experiences was that of the Akune family, divided by the war against each other, and against their...

I'm sure you've all heard about Isaac Newton and that apple that fell on his head and how that was a huge deal to our understanding of gravity. Well... let's talk about that. In this episode of Crash Course Physics, Shini sits down to...

An introduction to what a derivative is, and how it formalizes an otherwise paradoxical idea.

In which Hank shows you that, while it may seem like the Universe is messing with us, equilibrium isn't a cosmic trick. Here, he shows you how to calculate equilibrium constant & conditions of reactions and use RICE tables all with...

Indigo may be a very vague and unnecessary color, but it has an interesting history that involves some plants, turmoil, and Isaac Newton's interest in the number seven.

In this video Paul Andersen explains how the period is the time between wave and the frequency is the number of waves per second. Period is measured in seconds and frequency is measured in Hertz. Wave period and wave frequency are...

Paul Andersen shows you how to calculate the standard error of a data set. He starts by explaining the purpose of standard error in representing the precision of the data. The standard error is based on the standard deviation and the...

With the non-avian dinosaurs extinct, it was time for mammals to take over. Finally, in the tiniest sliver of the history of life, humans emerge.

Hank introduces us to the most beautiful numbers in nature - the Fibonacci sequence.

In this video Paul Andersen explains how the reaction quotient is used to determine the progress of a reversible reaction. The reaction quotient (Q) is the ratio of the concentration of products to the concentration of reactants. The...

Today we're going to introduce bayesian statistics and discuss how this new approach to statistics has revolutionized the field from artificial intelligence and clinical trials to how your computer filters spam! We'll also discuss the...

After a friend of mine got a tattoo with a representation of the cosecant function, it got me thinking about how there's another sense in which this function is a tattoo on math, so to speak.

How to think about implicit differentiation in terms of functions with multiple inputs, and tiny nudges to those inputs.

The year is 15 CE, and the Roman Empire is prospering. Most of the credit will go to the emperor, but this success wouldn't have been possible without loyal soldiers like Servius Felix. Robert Garland illuminates what life was like for a...

New ReviewIn this math video lesson, students learn how to rationalize a denominator when a radical expression appears in the denominator of a fraction and rewrite the expression in simplest form. The modeled example begins by reinforcing the idea...

New ReviewIn this YouTube Shorts math video, we quickly show how to simplify a radical expression and write it in simplest form. We will review why simplifying requires rationalizing the denominator using the conjugate to create a difference of...

New ReviewThis video provides a step-by-step guide on performing long division with polynomials (0:00). The presenter emphasizes the importance of arranging terms in descending order (0:19) and demonstrates the process using an example, including...

New ReviewHow do you know when simplifying a rational expression if you have a hole or an asymptote? What does it look like algebraically and graphically?

New ReviewIn this video I take a trigonometric expression and multiply it by another trig expression.

New ReviewIn this video we are going to work through the divisibility rules of the numbers 2-9

New ReviewThis video demonstrates how to translate a word problem into an algebraic equation and solve it, specifically addressing the problem: "when a number is divided by five the result is seven more than the number" (0:00). It covers defining...

New ReviewVisit Springfield, Illinois which is home to the Abraham Lincoln Presidential Library and Museum and the Lincoln Home National Historic. Springfield would be Lincoln's home for most of his adult life.

This video explains how all Earth's land used to form one supercontinent called Pangea and gradually split into separate continents through the process of continental drift. It details the discovery of this idea, how Earth's crust is...