Geogebra

PAU J15 B·3
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PAU JUN 14 B.3
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Recursos IEs Pravia
Continuidad Derivadas Integrales

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.

===**NOTE**: In January 2014 I updated all the applets to use HTML 5. The [|original, Java versions are still available.]===

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
 * 6) Average and Instantaneous Rate of Change

Differentiation

 * 1) The Derivative at a Point
 * 2) The Derivative as a Function
 * 3) The Derivative of Elementary Functions
 * 4) Try to Graph the Derivative Function
 * 5) The Derivative of Exponential Functions
 * 6) Identify the Derivative Function
 * 7) Derivatives and Graph Transformations
 * 8) Identify a Function and its First and Second Derivatives
 * 9) Identify an Antiderivative Function
 * 10) The Power Rule - Derivatives of Polynomial Functions
 * 11) Intuitive Notion of the Chain Rule
 * 12) Implicit Differentiation
 * 13) Derivatives of Inverse Functions

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)

Additional Resources

 * [|The GeoGebra website]
 * [|A GeoGebra tutorial]
 * [|Panning and zooming in GeoGebra applets]

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: 01/16/2014 17:19:50