What is integration? Why is it computed as the opposite of differentiation? What is the fundamental theorem of calculus?

What is integration? Why is it computed as the opposite of differentiation? What is the fundamental theorem of calculus?

Calculus is a branch of mathematics that deals with very small changes. Calculus consists of two main segments—differential calculus and integral calculus. Differential calculus primarily deals with the rate of change of things, while...

Calculus is a branch of mathematics that deals with very small changes. Calculus consists of two main segments—differential calculus and integral calculus. Differential calculus primarily deals with the rate of change of things, while...

Defining the fundamental theorem of calculus.

An overview of what calculus is all about, with an emphasis on making it seem like something students could discover for themselves. The central example is that of rediscovering the formula for a circle's area, and how this is an...

An overview of what calculus is all about, with an emphasis on making it seem like something students could discover for themselves. The central example is that of rediscovering the formula for a circle's area, and how this is an...

An overview of what calculus is all about, with an emphasis on making it seem like something students could discover for themselves. The central example is that of rediscovering the formula for a circle's area, and how this is an...

What is integration? Why is it computed as the opposite of differentiation? What is the fundamental theorem of calculus?

A visual for derivatives which generalizes more nicely to topics beyond calculus.

Someone always asks the math teacher, "Am I going to use calculus in real life?" And for most of us, says Arthur Benjamin, the answer is no. He offers a bold proposal on how to make math education relevant in the digital age.

A visual for derivatives which generalizes more nicely to topics beyond calculus. Thinking of a function as a transformation, the derivative measure how much that function locally stretches or squishes a given region.

The product rule and chain rule in calculus can feel like they were pulled out of thin air, but is there an intuitive way to think about them?

The product rule and chain rule in calculus can feel like they were pulled out of thin air, but is there an intuitive way to think about them?

The product rule and chain rule in calculus can feel like they were pulled out of thin air, but is there an intuitive way to think about them?

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

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

In this video we are going to focus on getting ready for Pre-Calculus. To do that we are going to look what you need to do to prepare for pre-calculus, what works and what has not worked.



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Calculus Unit 4 How to take the integral of square root of x

What is calculus? What kinds of problems led to the development of calculus, and how far back does it go? Let's learn some math history!

This video is a review of number lines and coordinate systems. This video goes over the basic concepts and terminology of one dimensional, and two dimensional coordinate systems. This video concludes with an introduction to three...

What you Need to Know about Functions for Pre-Calculus

Plotting expressions is important to visualize data, relationships between variables, and perform analysis. Mathcad plotting allows visualization of variable values, functions, and data points. Included in this demonstration is common...

Example: A 321 g rubber, playground ball is dropped from a height of 77.8 cm above a force platform. The data for the force of impact collected at 1000 data points per second as a function of time is shown. Please determine a bunch of...