# Welcome to Maplets for Calculus

## Free Maplets — Try Before you Buy

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(The first Maplet may take a little longer to open because it needs to start Java.)

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## Finding Vertical Asymptotes

Find the vertical asymptotes of a rational function.

## Bracketing Method of Solving Equations given Numeric Data

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

## 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.

## Derivative Drill

Practice computing derivatives.

## 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.

## Related Rates

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

## 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.

## Max/Min: Rectangle in an Ellipse

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

## 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.

## Integration by Substitution

Practice computing integrals by the method of substitution.

## Surface Area of a Surface of Revolution

Visualize a surface of revolution and compute the surface area.

## Work: Spring

Compute the force and work required to stretch a spring.

## Direction Fields

Identify the direction field of a differential equation.

## Geometric Series

Practice computing the sum of a geometric series.

## Identifying Quadratic Surfaces from a Graph

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

## Tangent Planes to Level Surfaces

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

Also check out the 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.