These Flash mathlets are authored by Barbara Kaskosz of the University of Rhode Island, many jointly with Doug Ensley of Shippensburg University. If you are interested in the code behind the mathlets, visit the Materials for Developers part of this website. Click the link below to access the Materials for Developers section.

Multivariable Calculus Mathlets

The first four applets are written in faster and better ActionScript 3. You need Flash Player 9 to use them. If you are interested, you can download the AS3 source code for the mathlets from the authors' article "Flash Tools for Developers: 3D Graphers in ActionScript 3" linked in Materials for Developers section.

• Parametric Surfaces in Rectangular Coordinates*  The user enters parametric equations for rectangular coordinates, the applet draws a surface that can be rotated in real time.
• Parametric Surfaces in Cylindrical Coordinates*  The user enters parametric equations for cylindrical coordinates.
• Parametric Surfaces in Spherical Coordinates*  The user enters parametric equations for spherical coordinates.
• 3D Function Grapher*  The user enters a formula for f(x,y) and the x and z ranges.

The source code for the Motion 3D applet below will soon be available www.flashandmath.com

• Motion in 3D  The user enters parametric equations for an arbitrary curve in xyz-space. The curve can be traced while the velocity and the acceleration vectors are displayed as well as their approximate values.

Below are ActionScript 2 applets. 3D graphers are slower but they will run on Flash Player 7 (or later).

• Regions Described by Double Integrals*  Enter limits in double integrals in rectangular and polar coordinates to see the region described by those limits. Practice finding limits which describe a given region. If you are interested, download the source code for the mathlet from the authors' article "Visualizing Regions for Double Integrals" linked in Materials for Developers section.
• 3D Function Grapher on White* , 3D Function Grapher on Black*  Both faster and better than earlier versions. Download the complete source code from the authors' article linked in Materials for Developers section!
• Spherical Coordinates*  Become familiar with spherical coordinates. Enjoy many practice problems.
• Parametric Surfaces in Spherical Coordinates*  Plot spectacular surfaces while practicing spherical coordinates.
• Parametric Surfaces in Cylindrical Coordinates*  Plot interesting surfaces while practicing cylindrical coordinates.
• Parametric Surfaces*  Check out some amazing parametric surfaces! Create your own.
• Parametric Curves in 3D*  Plot parametric curves in the xyz-space. Enjoy many examples and practice problems.

Precalculus and Single Variable Calculus Mathlets

• The Definite Integral in Terms of Areas  A simple applet that dynamically illustrates the interpretation of the definite integral in terms of areas. The source code is available at www.flashandmath.com as a part of Masking in Flash CS3 tutorial.
• Matching Formulas to Data*  Plot points, enter any parametric family of functions, dynamically change parameters while observing the changes in the least square error. Download the complete source code from the authors' article linked in Materials for Developers section!
• Parametric Curves on the Plane*  Plot curves in rectangular as well as polar coordinates. Download the complete source code from the authors' article linked in Materials for Developers section!
• Sequences and Series Plotter*  Plot sequences of numbers. Explore convergence of sequences and series.
• Sequences and Series of Functions*  Explore sequences and series of functions. Plot Taylor and Fourier polynomials. Examine pointwise and uniform convergence.
• Accumulated Change and Antiderivative Plotter*  Plot accumulated change given a rate of change; see the Fundamental Theorem in action; plot antiderivatives.
• Derivative Plotter*  Practice plotting derivatives. Have the applet graph the derivative of any function you want.
• Families and Points Plotter*  Plot points, match formulas to data. Explore families of functions.
• Functions Grapher*  Graph functions. Trace their graphs. Find points of intersection.
• Families of Functions  Explore the role of constants in families of functions. Animated families.

The mathlets marked by * are published in the Journal of Online Mathematics and its Applications or the Digital Classroom Resources at MathDL.

Other Mathlets

• Graphing the Cantor Function  Get insight into the graph of the Cantor function.
• Parametric Art  Create spectacular graphics while learning about parametric curves.
• The Game of Marienbad  Take a break with a friendly game of Nim.