## Calculus Applets using GeoGebra

This website is a project by Marc Renault, supported by Shippensburg University. My goal is to make a complete library of applets for Calculus I that are suitable for in-class demonstrations and/or student exploration. I have created these applets using GeoGebra, wonderful (free!) software for creating dynamic visualizations of mathematical ideas.

`**` I welcome your suggestions for improvements or additional applets that you would like to see.`**`

#### Applications of the Derivative

1. First derivative test - Reconstruct `f` from its First Derivative
2. Second derivative test - Reconstruct `f` from its Second Derivative
3. Derivatives and the Shape of a Graph
4. Related Rates Problems: Oil Slick -- A Falling Ladder -- A Conical Tank -- Driving Car -- Lamppost -- Two Trains -- Searchlight -- Rocket Launch
5. Optimization Problems: Bending a Wire -- Rectangle Inscribed in a Parabola -- Three Pens -- Getting Power to an Island -- Another Wire Problem -- Function and Rectangle 1 -- Function and Rectangle 2 -- Triangle Circumscribing a Circle --

#### The Integral

1. Introduction to Integration - The Exercise Bicycle Problem:   Part 1     Part 2
2. Introduction to Integration - Gaining Geometric Intuition
3. The Riemann Sum
4. The Area Function
5. The Fundamental Theorem of Calculus, Part I (Theoretical Part)
6. The Fundamental Theorem of Calculus, Part II (Practical Part)