Calculus Applets using GeoGebra - Java Versions (See HTML 5 versions.)
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.
All of these applets also appear in HTML 5 format.
Limits
- Intuitive Notion of the Limit
- Intuitive Notion of the Limit - One-Sided Limits
- The Limit Laws
- Continuity at a Point
- An Important Trig Limit `lim_(theta-->0) (sin(theta))/theta = 1`
- Average and Instantaneous Rate of Change
Differentiation
- The Derivative at a Point
- The Derivative as a Function
- The Derivative of Elementary Functions
- Try to Graph the Derivative Function
- The Derivative of Exponential Functions
- Identify the Derivative Function
- Derivatives and Graph Transformations
- Identify a Function and its First and Second Derivatives
- Identify an Antiderivative Function
- The Power Rule - Derivatives of Polynomial Functions
- Intuitive Notion of the Chain Rule
- Implicit Differentiation
- Derivatives of Inverse Functions
Applications of the Derivative
- First derivative test - Reconstruct `f` from its First Derivative
- Second derivative test - Reconstruct `f` from its Second Derivative
- Derivatives and the Shape of a Graph
- Related Rates Problems:
Oil Slick --
A Falling Ladder --
A Conical Tank --
Driving Car --
Lamppost --
Two Trains --
Searchlight --
Rocket Launch
- 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
- Introduction to Integration - The Exercise Bicycle Problem: Part 1 Part 2
- Introduction to Integration - Gaining Geometric Intuition
- The Riemann Sum
- The Area Function
- The Fundamental Theorem of Calculus, Part I (Theoretical Part)
- 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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