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Technology 
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Approximation of Areas

Riemann sums: L, R, and M. (Calculus) 
Flash 
Tool 

[0]

Animated directions for approximating the area under a particular function by using circumscribed rectangles.
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Approximation of Areas

Riemann sums: L, R, and M. (Calculus) 
Flash 
Tool 

[1]

Animated directions for approximating the area under a particular function by using inscribed rectangles.
More: lessons, discussions, ratings, reviews,...

Approximation of Areas

Riemann sums: L, R, and M. (Calculus) 
Java Applet 
Tool 

[0]

Animated directions for approximating the area under a particular function by using circumscribed rectangles.
More: lessons, discussions, ratings, reviews,...

Approximation of Areas

Riemann sums: L, R, and M. (Calculus) 
Java Applet 
Tool 

[0]

Animated directions for approximating the area under a particular function by using inscribed rectangles.
More: lessons, discussions, ratings, reviews,...

Approximation of Areas

Riemann sums: L, R, and M. (Calculus) 
JavaScript 
Tool 

[0]

Calculates upper and lower sums of the integral from 0 to 1 of x^3 + 1.
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Areas

Riemann sums: L, R, and M. (Calculus) 
Computer 
Support Material 

[0]

Compare the estimates for the area under part of a parabola given by inscribed and circumscribed rectangles.
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Areas

Riemann sums: L, R, and M. (Calculus) 
Computer 
Support Material 

[0]

Compare the estimates for the area under part of a sine curve given by inscribed and circumscribed rectangles.
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Finding the area under a curve

Riemann sums: L, R, and M. (Calculus) 
Java Applet 
Tool 

[1]

Uses rectangles to approximate the area under a polynomial.
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Formula Graphing Applets

Riemann sums: L, R, and M. (Calculus) 
Java Applet 
Tool 

[1]

Graph a function and its left or right Riemann sum.
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InteGreat!

Riemann sums: L, R, and M. (Calculus) 
Java Applet 
Tool 

[0]

InteGreat! allows the user to visually explore the idea of integration through approximating the integral value with partitions. The activity integrates a function and displays the value of the defini...
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Integrator

Riemann sums: L, R, and M. (Calculus) 
Java Applet 
Tool 

[2]

Computes righthand, lefthand, and general Riemann sums as well as upper and lower sums for a given function.
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Modeling Accumulations

Riemann sums: L, R, and M. (Calculus) 
Java Applet 
Tool 

[0]

Approximate the area of a circle by the areas of inscribed rectangles.
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Numerical Integration

Riemann sums: L, R, and M. (Calculus) 
Java Applet 
Tool 

[2]

View left and right Riemann sums and trapezoidal and Simpson's rule approximations for various functions.
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Rectangle Approximation Method

Riemann sums: L, R, and M. (Calculus) 
Java Applet 
Tool 

[0]

Draw rectangles corresponding to the left, right, or midpoint Riemann sums for the area under the curve y = x^2 between x=0 and x=1.
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Riemann Sums

Riemann sums: L, R, and M. (Calculus) 
Java Applet 
Tool 

[0]

A Java applet that introduces Riemann sums, with questions to answer using the applet. Includes a rescalable presentation version with large fonts.
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Riemann Sums

Riemann sums: L, R, and M. (Calculus) 
JavaScript 
Tool 

[0]

Illustrates the process of drawing Riemann sums.
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Riemann Sums  Function Integr...

Riemann sums: L, R, and M. (Calculus) 
Java Applet 
Tool 

[0]

Graphical illustration of the Riemann sums of a function defined by its graph. The tool allows selecting the point inside the subintervals in several ways which helps show the dependence of the approx...
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Riemann Sums Java Applet

Riemann sums: L, R, and M. (Calculus) 
Java Applet 
Tool 

[2]

Graphs left, right, and midpoint Riemann sums for selected functions.
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RiemannSums Applet

Riemann sums: L, R, and M. (Calculus) 
Java Applet 
Tool 

[2]

Experiment with left, right, and midpoint Riemann sums for functions you enter, as well as inscribed rectangles, circumscribed rectangles, and the trapezoid rule. Includes extensive directions for cu...
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RiemannSums.java

Riemann sums: L, R, and M. (Calculus) 
Java Applet 
Support Material 

[0]

Source code for the RiemannSums applet.
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Sketchpad Activities for Intro...

Riemann sums: L, R, and M. (Calculus) 
Sketchpad 
Activity 

[0]

Sketchpad Activities for Introducing Calculus Topics is a series of five activities designed to introduce students to the basic concepts of calculus. Use these activities near the end of Precalculus c...
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Special Riemann Sums

Riemann sums: L, R, and M. (Calculus) 
Computer 
Support Material 

[0]

Defines various special kinds of Riemann sums.
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The Definite Integral of a Con...

Riemann sums: L, R, and M. (Calculus) 
Java Applet 
Tool 

[0]

Enter a function and see its upper, lower, and midpoint Riemann sums.
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Trapezoidal Accumulation

Riemann sums: L, R, and M. (Calculus) 
Sketchpad 
Tool 

[0]

This activity builds on the previous activity, One Type of Integral, by suggesting two more efficient ways of estimating the area under a curve (definite integral) than counting squares: adding the ar...
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WebGrapher

Riemann sums: L, R, and M. (Calculus) 
Java Applet 
Tool 

[0]

This is a Java graphing applet that can be used online or downloaded. The purpose it to construct dynamic graphs with parameters controlled by user defined sliders that can be saved as web pages or em...
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