# Geogebra Demos

These are some Geogebra demos I have created or modified and used in various classes. Comments/error reports are welcome.

## DIFFERENTIAL CALCULUS:

Epsilon Delta Definition of a Limit - Shows how the formal definition of a limit looks visually and allows students to pick deltas for various epsilons.

Epsilon Delta Demo 2 - The function f(x) = sin(1/x).

Epsilon Delta Demo 3 - The function f(x) = 1 if x>0 and 0 if x<0.

Epsilon Delta Demo 4 -Allows user to express delta as a function of epsilon.

Defintion of the Derivative - Shows the derivative as the limit of slopes of secant lines.

## INTEGRAL CALCULUS:

Definite Integrals and Riemann Sums - Fully customizable demo to illustrate definite integrals and approximation by various Riemann Sums or by the Trapezoid Rule.

Simpson's Rule - Fully customizable demo to illustrate definite integrals and approximation by Simpson's Rule.

Improper Integral (Type 1) - Investigates the integral from 1 to infinity of f(x).

Improper Integral (Type 2) - Investigates the integral from 0 to 1 of f(x) where f(x) has an infinite discontinuity at 0.

## SEQUENCES AND SERIES:

Integral Test Demo - Shows the integral test comparison for the series 1 + 1/4 + 1/9 + 1/16 + ....

Taylor Polynomial Demo - Customizable graph of any function along with its nth Taylor Polynomial at a point.

## GEOMETRY:

The following demos were created by my Math 133 students in the Winter Quarter of 2011.

Constructing the Incircle - by Siri Tirumalasetty

Constructing a Regular Pentagon - by Leo Vu and Benjamin Li

The Euler Line - by Reanna Gibbs and BiJon Clark