Math Applets (Mathlets)
The mathlets below are available as single file executbles for Windows.(exe) and Macintosh (.zip), and as platform independent files for Linux/Unix (.kit inside .zip). They are written in a language called Tcl/Tk (see my Tcl/Tk page for details on running the .kit files from Linux/Unix and for other Tcl/Tk specific information).
Starter Mathlets
First Order Differential Equation Grapher: An applet for graphing first order differential equations. There is one graph window. Opens with the standard logistic differential equation.
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Windows: First Order DE |
Macintosh:First Order DE |
Linux/Unix: First Order DE |
Differential Equation System Grapher: An
applet for graphing systems of two differential equations. There are
three graph windows for viewing a phase plot and two time plots at
the same time. Can be used to graph second order equations by
rewriting them as systems. Opens with a standard mass-spring equation
written as a system.
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Windows: DE System |
Macintosh:DE System |
Linux/Unix: DE System |
Iterated Map Grapher with Bifurcation Diagram and Lyapunov Exponent Graph: An applet for a first-order iterated map in one window, bifurcation diagram in a second, and Lyapunov exponent graph in a third. Starts with the standard iterated logistic map with one parameter.
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Windows:Iterate |
Macintosh:Iterate |
Linux/Unix: Iterate |
Iterated Map Systems Grapher: An applet for iterating systems of two maps. Starts with the Henon map.
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Windows:Iterate System |
Macintosh:Iterate System |
Linux/Unix: Iterate System |
More mathlets from my MAA talk in Washington, January 2009
Autonomous and periodic bifurcations of a logistic equation
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Windows:Logistic bifurcations |
Macintosh:Logistic bifurcations |
Linux/Unix: Logistic bifurcations |
Bifurcations, beats and strange attractors in a buckled beam
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Windows:Bifurcations beats beams |
Macintosh:Bifurcations beats beams |
Linux/Unix: Bifurcations beats beams |
The mathlets below start out blank. You can customize your mathlet for a specific application or concept.
General (blank)
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Windows |
Macintosh |
Linux/Unix (.kit) |
More Mathlets for Precalculus, Calculus and Differential Equations
Calculus and Precalculus
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Windows (.exe) |
Macintosh (.zip) |
Linux/Unix (.kit) |
Differential Equations
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Windows (.exe) |
Macintosh (.zip) |
Linux/Unix (.kit) |
Conferences and Papers
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The paper that I presented at this conference can be viewed as it appears in the conference proceedings below. How to use mathlets in teaching differential equations; no Tcl/Tk.
Differential Equation Investigations using Customizable Mathlets
My ICTM 3 Page: ICTM 3
Montréal
International Symposium
Technology
and its Integration
in Mathematics
Education
TIME-2004
École
de technologie supérieure (ÉTS), July 15-18,
2004
Montréal, Québec, Canada
The paper that I presented at this conference can be viewed as it appears in the conference proceedings below. Emphasizes interplay between computer algebra systems and interactive software. Some Tcl/Tk, and how complex mathlets are built from components.
Adding an Interactive Component to Computer Algebra in Differential Equations
The Vienna International. Symposium on Integrating Technology into Mathematics Education (VisitMe). Viena, Austria (2002)
The paper that I presented at this conference can be viewed as it appears in the conference proceedings below. Early report; lots of details about very simple programs and Tcl/Tk.
Building and Using Interactive Mathematics Software