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This maplet provides guided practice in the mechanics of geometric series, including determining if they converge and finding their sum when they do (with feedback and hints).

Infinite Limits: Sequences and Series

GeoGebra

GeoGebra combines capabilities of a dynamic geometry program (like GeoSketchpad or Cabri) with an equation grapher.

General Tools

Improper Integrals

This Java applet allows the user to explore the concept of an improper integral by graphing a function and adjusting the upper limit of the integral of the function with a slider.

Infinite Limits: Function Values and Integrals

The Calculus Game

This is essentially a Jeopardy game with the categories being integration, definite integrals, substitution, the fundamental theorem, and area between curves.

Integration: Motivation and Definition, Integration Methods

Constructing Antiderivatives

Applet for constructing antiderivative graph

Integration: Motivation and Definition

Average Value

User can draw a function \(f(x)\) using a nice smoothing algorithm, then a simple slide interaction draws a rectangle whose height is given by the average value of the function from \(a\) to \(b\)

Fundamental Theorem

Fundamental Theorem of Calculus

Worksheets are provided with sample questions on investigating the Fundamental Theorem of Calculus.

Fundamental Theorem

Fundamental Theorem of Calculus

Exploraton of The Fundamental Theorem (both parts) using worked examples in applets.

Fundamental Theorem

Sine Waves and Sound

A complete lesson on sinusoidal waves and acoustics. An embedded spreadsheet provides an interactive resource for phase shifts; otherwise, this is a static text-based webpage.

Calculus Functions, One-Variable Calculus

Maths is Fun: College Algebra

A thorough review of high school algebra presented as a series of HTML pages with some Flash applets and JavaScript modules embedded.

Calculus Functions, Functions In General, Graphers and Definitions, Background