In this tutorial, we first define what we mean by area, and then we calculate the area under a curve by first approximating the area with rectangles and then making the width of the rectangles approach zero.

In the late 1600s, mathematicians discovered a much easier way to calculate the area under a curve, called The Fundamental Theorem of Calculus. This discovery started with the calculation of the slope of a tangent.
In the second part of this tutorial, we define the slope of the tangent to a curve, and we look at the connection between areas and tangents.


* Aimed at students in their final two years of high school.

* Studying mathematics is best done by working through examples and exercises. There are many interactive examples and exercises in this tutorial that must be completed to achieve 100% progress.

* Written by a Maths teacher with 20 years of teaching experience.

* Completely free (no Ads).

* Works without internet so that you can learn while travelling in the train, bus etc. Internet only required for links to privacy policy and other tutorials.

* Made with GameMaker (www.yoyogames.com)

* Only a 14 MB download.

Also available on Google Play:
* Calculus Tutorial 2: Limits
* Calculus Tutorial 3: Continuous Functions
* Calculus Tutorial 4: Derivative of a Function
* Calculus Tutorial 4B: Velocity and Acceleration
* Calculus Tutorial 5: Derivative of a Function II
* Calculus Tutorial 6: Derivative of Trig Functions
* Calculus Tutorial 7: Chain Rule Differentiation
* Calculus Tutorial 8: Derivative of Inverse Functions
* Calculus Tutorial 9: Implicit Differentiation
* Calculus Tutorial 10: Rates of Change