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We have planned a large
collection of Phaser Modules which, when completed, should
provide a next-generation alternative
for teaching beginning and intermediate courses
on differential equations and dynamical systems.
Also, selected modules can be used to supplement
courses in numerical analysis, quantitative ecology, history
of mathematics, etc.
These efforts are supported, in part, by the
National Science Foundation (NSF).
Below, you will find entry points to a sampling
of Phaser Modules. Each module, dedicated to a single
fundamental topic
or application, is illustrated with Phaser Simulations
consisting of
Phaser Project or Gallery files.
You can simply click on
a Phaser simulation picture to run the simulation
on your local copy of Phaser (on Windows OS this will
happen automatically, on Unix systems you will have
to set appropriate file associations).
- Dissecting A Dynamical System Equation
- A short essay on how to dissect an equation, and experimental dynamics using Phaser.
- Historic Modules
- Examples studied by the early masters (Archimedes, Liebniz, and Newton).
- Ecology Modules
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Basic continuous and discrete population dynamics models.
- Student Modules
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Student authored modules.
- Modules for Discrete Chaos, 2nd Edition:
With Applications in Science and Engineering by Saber N. Elaydi
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Phaser modules specifically designed to accompany this textbook.
National Math Society Sponsored Courses/Modules/Lectures Using Phaser:
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Phaser @ AMS-MAA 2008:
Mini Course at the AMS-MAA National Joint Mathematics Meeting, January 6-8, 2008, San Diego, CA. Some Deterministic
Models in Mathematical Biology and Their Simulations using Phaser. Course registration starts September 3,
2007 -- mark your calendar! More info coming soon.
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Phaser @ AMS-MAA 2007:
Mini Course at the AMS-MAA National Meeting, January 5, 2007, New Orleans, LA. Some Deterministic
Models in Mathematical Biology and Their Simulations using Phaser. This course will present and
analyze discrete and continuous models from physiology (e.g., the Hodgkin-Huxley model), pharmacokinetics,
and population biology (e.g., the chemostat model). The class will be conducted in a computer lab
where participants will use the software Phaser to simulate model behavior.
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Phaser @ MAA 2005:
MAA Short Course, March 11, 2005, Raleigh, NC. Some Deterministic Models in Mathematical Biology,
A Workshop for the Mathematical Association of America. This short course will present and analyze
discrete and continuous models from physiology (e.g., the Hodgkin-Huxley model), pharmacokinetics,
and population biology (e.g., the chemostat model). The class will be conducted in a computer lab
where participants will use the software Phaser to simulate model behavior.
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We invite you to submit ideas and proposals for new modules of general
interest. If your proposal is accepted for inclusion
on our Web site, we will be happy to provide you
technical assistance with the editing and formatting.
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