## 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.

#### Limits

1. Intuitive Notion of the Limit
2. Intuitive Notion of the Limit - One-Sided Limits
3. The Limit Laws
4. Continuity at a Point
5. An Important Trig Limit `lim_(theta-->0) (sin(theta))/theta = 1`
6. Average and Instantaneous Rate of Change
7. #### Differentiation

8. The Derivative at a Point
9. The Derivative as a Function
10. The Derivative of Elementary Functions
11. Try to Graph the Derivative Function
12. The Derivative of Exponential Functions
13. Identify the Derivative Function
14. Derivatives and Graph Transformations
15. Identify a Function and its First and Second Derivatives
16. Identify an Antiderivative Function
17. The Power Rule - Derivatives of Polynomial Functions
18. Intuitive Notion of the Chain Rule
19. Implicit Differentiation
20. Derivatives of Inverse Functions
21. #### Applications of the Derivative

22. First derivative test - Reconstruct `f` from its First Derivative
23. Second derivative test - Reconstruct `f` from its Second Derivative
24. Derivatives and the Shape of a Graph
25. Related Rates Problems: Oil Slick -- A Falling Ladder -- A Conical Tank -- Driving Car -- Lamppost -- Two Trains -- Searchlight -- Rocket Launch
26. 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 --
27. #### The Integral

28. Introduction to Integration - The Exercise Bicycle Problem:   Part 1     Part 2
29. Introduction to Integration - Gaining Geometric Intuition
30. The Riemann Sum
31. The Area Function
32. The Fundamental Theorem of Calculus, Part I (Theoretical Part)
33. The Fundamental Theorem of Calculus, Part II (Practical Part)

### Additional Resources Calculus Applets using GeoGebra by Marc Renault is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

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