Browsing: All Content in Calculus for Riemann sums: L, R, and M. Browse discussions |
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Sketchpad Activities for Intro...
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Riemann sums: L, R, and M. (Calculus) |
Sketchpad |
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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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Areas
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Riemann sums: L, R, and M. (Calculus) |
Computer |
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Compare the estimates for the area under part of a sine curve given by inscribed and circumscribed rectangles.
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Areas
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Riemann sums: L, R, and M. (Calculus) |
Computer |
Support Material |
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Compare the estimates for the area under part of a parabola given by inscribed and circumscribed rectangles.
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Special Riemann Sums
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Riemann sums: L, R, and M. (Calculus) |
Computer |
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Defines various special kinds of Riemann sums.
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RiemannSums.java
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Riemann sums: L, R, and M. (Calculus) |
Java Applet |
Support Material |
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Source code for the RiemannSums applet.
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Approximation of Areas
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Riemann sums: L, R, and M. (Calculus) |
Flash |
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Animated directions for approximating the area under a particular function by using circumscribed rectangles.
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Approximation of Areas
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Riemann sums: L, R, and M. (Calculus) |
Flash |
Tool |
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Animated directions for approximating the area under a particular function by using inscribed rectangles.
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Approximation of Areas
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Riemann sums: L, R, and M. (Calculus) |
Java Applet |
Tool |
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Animated directions for approximating the area under a particular function by using inscribed rectangles.
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Approximation of Areas
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Riemann sums: L, R, and M. (Calculus) |
Java Applet |
Tool |
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Animated directions for approximating the area under a particular function by using circumscribed rectangles.
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Finding the area under a curve
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Riemann sums: L, R, and M. (Calculus) |
Java Applet |
Tool |
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Uses rectangles to approximate the area under a polynomial.
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Formula Graphing Applets
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Riemann sums: L, R, and M. (Calculus) |
Java Applet |
Tool |
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Graph a function and its left or right Riemann sum.
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InteGreat!
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Riemann sums: L, R, and M. (Calculus) |
Java Applet |
Tool |
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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
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Riemann sums: L, R, and M. (Calculus) |
Java Applet |
Tool |
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Computes right-hand, left-hand, and general Riemann sums as well as upper and lower sums for a given function.
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Modeling Accumulations
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Riemann sums: L, R, and M. (Calculus) |
Java Applet |
Tool |
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Approximate the area of a circle by the areas of inscribed rectangles.
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Numerical Integration
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Riemann sums: L, R, and M. (Calculus) |
Java Applet |
Tool |
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View left and right Riemann sums and trapezoidal and Simpson's rule approximations for various functions.
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Rectangle Approximation Method
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Riemann sums: L, R, and M. (Calculus) |
Java Applet |
Tool |
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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
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Riemann sums: L, R, and M. (Calculus) |
Java Applet |
Tool |
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A Java applet that introduces Riemann sums, with questions to answer using the applet. Includes a re-scalable presentation version with large fonts.
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Riemann Sums - Function Integr...
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Riemann sums: L, R, and M. (Calculus) |
Java Applet |
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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
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Riemann sums: L, R, and M. (Calculus) |
Java Applet |
Tool |
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Graphs left, right, and midpoint Riemann sums for selected functions.
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RiemannSums Applet
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Riemann sums: L, R, and M. (Calculus) |
Java Applet |
Tool |
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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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The Definite Integral of a Con...
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Riemann sums: L, R, and M. (Calculus) |
Java Applet |
Tool |
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Enter a function and see its upper, lower, and midpoint Riemann sums.
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Approximation of Areas
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Riemann sums: L, R, and M. (Calculus) |
JavaScript |
Tool |
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Calculates upper and lower sums of the integral from 0 to 1 of x^3 + 1.
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Riemann Sums
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Riemann sums: L, R, and M. (Calculus) |
JavaScript |
Tool |
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Illustrates the process of drawing Riemann sums.
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Trapezoidal Accumulation
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Riemann sums: L, R, and M. (Calculus) |
Sketchpad |
Tool |
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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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