This video is provided as supplementary material for courses taught at Howard Community College and in this video I want to talk about probability for independent and dependent events. So here’s our example. I’ve got some pieces that I took from a Scrabble game. There are two squares and they have A’s on them. And…

# Tag: mathematics

## Algebra 15 – Functions

Hello. I’m Professor Von Schmohawk and welcome to Why U. In the last several lectures we looked at some examples of binary relations. These binary relations can illustrate mathematical relationships or data measurements from the real world. In this lecture, we will introduce a special type of binary relation which we will often encounter in…

## Graphing Functions and Their Derivatives

Professor Dave here, let’s get back to graphing. I’m sure you got enough of graphing when we learned algebra, but we need to expand our abilities now that we understand differentiation. First, as we recall, the derivative of a function at a particular point is equal to the rate of change in the function at…

## What are some real-world examples of functions? – Week 1 – Lecture 4 – Mooculus

[MUSIC] So, there’s all these different ways of taking two functions and producing new functions. You could add, subtract, multiply, divide two functions, and could take two functions and compose them, meaning that the output for the one becomes the input for the other. In light to this, I’d encourage you just to pick up…

## Visualizing the Riemann hypothesis and analytic continuation

The Riemann zeta function. This is one of those objects in modern math that a lot of you might have heard of, but which can be really difficult to understand. Don’t worry, I’ll explain that animation that you just saw in a few minutes. A lot of people know about this function because there’s a…

## Continuous, Discontinuous, and Piecewise Functions

It’s Professor Dave, let’s learn about continuity in functions. We’ve just learned about a variety of functions, and up until now, they have all been continuous functions. These are functions where there are no gaps whatsoever. Any X value can act as an input, and we get all the corresponding values for the function as…

## The Composition of Two Functions 143-2.6.2.a

This video is provided as supplementary material for courses taught at Howard Community College and in this video I want to talk about the composition of functions. Let’s say you’re given two functions. You’ve got function f, and this is f(x)=x + 3, and function g, and that’s g(x)=x^2 – 5. and then you’re told…