Sunday, February 27, 2011

Epsilon-delta definition

The $e\psilon-\delta$ definition states that the limit of $f(x) = L$ as $x$ approaches $a$ if for all $\epsilon > 0$, there exists a $\delta > 0$, such that if $|x-a| < \delta$, then $|f(x) - L| < \epsilon$. The applet below courtesy of Sylvain Berube, shows its geometric interpretation.




















Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

Friday, February 25, 2011

Grapher

Instruction: Type the Equation a function in the text box and click the Graph button to graph the function. The step by step in creating this applet can be viewed here.




















Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)




f(x) =



Wednesday, February 23, 2011

Rotation and Area Relationship

  1. ABCD' is a square. What shape is IJKL? Justify your answer.
  2. What is the relationship between the area of ABCD' and IJKL?
  3. Move slider α to the extreme right to verify your answer.




















This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

Tuesday, February 15, 2011

St. Valentin

Happy Valentines Everyone. Here's an excellent applet created with GeoGebra.




















This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com


Courtesy of Daniel Mentrard. Ggb file can be downloaded here.

Friday, February 11, 2011

Conjectures and Proof in GeoGebra




















Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

Saturday, February 5, 2011

Using the Text Tool

This post is the output of the tutorial that I will post soon. If you want to learn more about GeoGebra, I have created more than 50 tutorials here.




















Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

Friday, February 4, 2011

AA Similiarty

This applet is for teachers. Feel free to supply the questions/explanations.




















Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)