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Topic (Course) 
Technology 
Type 
$? 
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Calculating Limits

Est. lims. w/ graphs or tables (Calculus) 
Java Applet 
Tool 

[2]

Enter a function, or select one from the list, and use graphs and tables to estimate the limit of the function as x approaches a value you choose.
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eNLVM  Interactive Online Mat...

General (Calculus) 
Java Applet 
Tool 

[2]

The eNLVM enhances the applets available through the National Library of Virtual Manipulatives (NLVM). It allows teachers to embed applets in lessons, make up questions to which students can submit an...
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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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Explore Graphs of Polar Equati...

Analysis of parametric curves (Calculus)+ 
Java Applet 
Tool 

[1]

Graph trigonometric functions in polar coordinates, and vary their coefficients.
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FunctionComposition Applet

Chain rule and implicit diff. (Calculus) 
Java Applet 
Tool 

[1]

View graphs of functions, their composition, and tangent lines to each function. Includes extensive directions for customizing the applet.
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Trig functions with absolute v...

Differentiability & continuity (Calculus) 
Java Applet 
Tool 

[1]

A quiz: determine whether functions based on trigonometric and absolute value functions are differentiable.
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Slope Field Calculator

Differential equations (Calculus)+ 
Java Applet 
Tool 

[1]

This is a very flexible Java applet for producing slope fields for ODE's of the form y' = f(x,y). User controls window settings, initial conditions, and other parameters.
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WebGrapher

Function graphs (Calculus)+ 
Java Applet 
Tool 

[1]

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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Derivative puzzle 1

Graph of f vs. f' (Calculus) 
Java Applet 
Tool 

[1]

Match graphs of polynomial functions with the graphs of their derivatives. Also includes exercises, solutions, and didactic background.
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Exponential Function

Graph of f vs. f' (Calculus) 
Java Applet 
Tool 

[1]

See the relationship between an exponential function and the graph of the derivative of that function. Try to find special cases that occur by changing the value of the coefficient.
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Inverse Trigonometric Function...

Implicit differentiation (Calculus)+ 
Java Applet 
Tool 

[1]

Defines inverse trigonometric functions and explains their differentiations. Applets demonstrate the working of the inverse tangent function.
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Lagrange Interpolation

Polynomial Approxs. and Series (Calculus) 
Java Applet 
Tool 

[1]

Demonstrates Lagrange interpolation, one method of constructing a polynomial that passes through a given number of points.
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Definite Integrals

Riemann sums: int. as lim. (Calculus) 
Java Applet 
Tool 

[1]

Uses Riemann sums to prove a proposition about inequalities and integrals.
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Derivative and Tangent Line

The graphs of f, f', and f" (Calculus) 
Java Applet 
Tool 

[1]

Graphs selected functions, the tangent line at a point, and their first and second derivatives.
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Grapher

Functions, Graphs, and Limits (Calculus) 
Java Applet 
Tool 

[6]

Using this virtual manipulative you may: graph a function; trace a point along the graph; dynamically vary function parameters; change the range of values displayed in the graph; graph multiple functi...
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Lathe

Vol. of a solid of revolution (Calculus) 
Java Applet 
Tool 

[4]

Student draws top half of outline; a solid of rotation (horizontal axis) is produced (shown in perspective, dynamic).
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Equations of Motion

Dist. traveled by a particle (Calculus) 
Java Applet 
Tool 

[2]

A Java applet that explores the equations of motion, starting from the acceleration function, with actions to try using the applet. Includes a rescalable presentation version with large fonts.
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Tight Weave

Intuitive understanding lims. (Calculus) 
Java Applet 
Tool 

[2]

Visualize the creation of the Sierpinski Carpet, an iterative geometric pattern that resembles a woven mat.
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Riemann Sums, Simpson's Rule

Numeric Approx. to Def. Ints. (Calculus) 
Java Applet 
Tool 

[2]

Applet demonstrating different methods of numerical integration. Right, Left, Midpoint, and Trapezoidal approximations are available, as is Simpson's Rule. A function of your choice can be entered.
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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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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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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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Volumes: Cylindrical Shell Met...

Vol. of a solid of revolution (Calculus) 
Java Applet 
Tool 

[2]

Discusses the volume of the solid obtained by rotating part of a parabola around the yaxis.
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Definite Integrals and the Are...

Area of a region (Calculus) 
Java Applet 
Tool 

[1]

Enter two functions and their antiderivatives, and see the area between the two curves.
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Derivative at a Point

As an instant. rate of change (Calculus)+ 
Java Applet 
Tool 

[1]

A Java applet that introduces the derivative at a point. Includes a rescalable presentation version with large fonts.
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