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Sketchpad Activities for Intro...
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Riemann and trapezoidal sums (Calculus) |
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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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Numerical Approximations of De...
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Riemann and trapezoidal sums (Calculus) |
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Describes and compares left-hand, right-hand, trapezoidal, midpoint, and Simpson's rules for approximating an integral.
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Midpoint and Trapezoidal Riema...
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Riemann and trapezoidal sums (Calculus) |
Java Applet |
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A Java applet that introduces Riemann sums based on the midpoint and trapezoid methods, with questions to answer using the applet. Includes a re-scalable presentation version with large fonts.
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Numerical Integration Tutorial
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Riemann and trapezoidal sums (Calculus) |
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Select one of the listed functions, choose endpoints, and compare right-hand, midpoint, and trapezoidal approximations to the definite integral.
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Numerical integration rules
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Riemann and trapezoidal sums (Calculus) |
Java Applet |
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Use left-hand, right-hand, midpoint, trapezoidal, and Simpson's rules to approximate the area under a specific rational function.
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Riemann Sums
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Riemann and trapezoidal sums (Calculus) |
Java Applet |
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Compare upper and lower sum approximations to an integral.
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Trapezoidal Accumulation
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Riemann and trapezoidal sums (Calculus) |
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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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