ICTCM Award 2008

Welcome to Maplets for Calculus

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M4C Configuration Issues

Finding Vertical Asymptotes

Find the vertical asymptotes of a rational function.

Finding Vertical Asymptotes Screenshot

Bracketing Method of Solving Equations given Numeric Data

Use the Bracketing Method to solve a continuous equation given the numerical values of the function.

Bracketing Method of Solving Equations given Numeric Data Screenshot

Computing Tangent Lines

Find the equation of the line tangent to the graph of a function. Try some numeric points and then some symbolic points.

Computing Tangent Lines Screenshot

Derivative Drill

Practice computing derivatives.

Derivative Drill Screenshot

Derivatives of Inverse Functions

Learn how the graph of an inverse function is related to the graph of the function. Compute the derivatives of the function and its inverse function at corresponding points and then view the respective tangent lines.

Derivatives of Inverse Functions Screenshot

Related Rates

When two variables are related by an equation their derivatives are also related.

Related Rates Screenshot

Properties of the Graph of the Second Derivative of a Function

Learn to identify the properties of a function, its derivative, and its second derivative from the graph of the second derivative.

Properties of the Graph of the Second Derivative of a Function Screenshot

Max/Min: Rectangle in an Ellipse

Maximize the area of a rectangle inscribed in an ellipse or part of an ellipse.

Max/Min: Rectangle in an Ellipse Screenshot

[Copyright WebAlt Inc.] Area as an Anti-Derivative: Deriving the Fundamental Theorem of Calculus

Derive the Fundamental Theorem of Calculus by computing the derivative of the area under the graph of a function.

Area as an Anti-Derivative: Deriving the Fundamental Theorem of Calculus Screenshot

Integration by Substitution

Practice computing integrals by the method of substitution.

Integration by Substitution Screenshot

Surface Area of a Surface of Revolution

Visualize a surface of revolution and compute the surface area.

Surface Area of a Surface of Revolution Screenshot

Work: Spring

Compute the force and work required to stretch a spring.

Work: Spring Screenshot

Direction Fields

Identify the direction field of a differential equation.

Direction Fields Screenshot

Geometric Series

Practice computing the sum of a geometric series.

Geometric Series Screenshot

Identifying Quadratic Surfaces from a Graph

Practice identifying a quadratic surface from its graph. Optional: Get out your 3D stereo glasses.

Identifying Quadratic Surfaces from a Graph Screenshot

Tangent Planes to Level Surfaces

Find the tangent plane to a surface defined as the level surface of a function.

Tangent Planes to Level Surfaces Screenshot

Also check out the M4C Demonstration Videos to preview additional maplets.

Credits

Phil Yasskin and Doug Meade are the primary programmers of all Maplets. Matthew Barry is the secondary programmer. Assistant programmers are listed under each individual Maplet.