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

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

    20. Applications of the Derivative

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

    25. The Integral

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

Additional Resources



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

This page was last modified on: