Course Information (2010/2011)
Math 4067 (January 2011)
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Course outline and notes for Introduction to Dynamical Systems
Math/Cosc 3416 (January 2011)
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Course outline and notes for Numerical Methods I
Cosc 2006 (September 2010)
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Course information and notes for Data Structures I
Math 2066 (September 2010)
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Introduction to Differential Equations
Other Local Stuff
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Iterating the Logistic Equation
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Java 1.1 applet for iterating the logistic equation and analyzing its long term
behavior. The results are also graphed using staircase and cobweb diagrams.
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Logistic Bifurcation Diagram
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Java 1.1 applet for the bifurcation diagram of the logistic map
xn+1 = a xn(1 - xn).
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Henon Attractor
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Java 1.1 applet for the Henon chaotic attractor.
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Sine Map
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Java 1.1 applet for the Sine map. Can you find the chaotic attractor?
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Gingerbread Man Attractor
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Java 1.1 applet for the gingerbread man attractor.
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Tinkerbell Attractor
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Java 1.1 applet for the Tinkerbell chaotic attractor.
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Simple Computer Simulation
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Java 1.1 applet for a simple computer simulation. The computer has a 10 by
10 array of memory cells, program counter and accumulator registers and a
small instruction set.
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Evolution Simulation
(Java 1.0.2 Version)
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Evolution Simulation
(Java 1.1 Version)
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A Java 1.1 applet for the evolution simulation described in
Richard Dawkins' book The Blind Watchmaker.
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Mandelbrot Sets
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Some interesting blowups of the Mandelbrot set
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Chaos Experiments Using Maple (Postscript)
(PDF format)
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Maple programs (text format)
maporbit.txt
maptime.txt
mapiter.txt
henon.txt
henon.txt
Maple programs (worksheet format)
maporbit.ms
maptime.ms
mapiter.ms
henon.ms
henon.ms
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The Chaos Game
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The chaos game shows how well-defined geometrical objects can be produced
by random processes. There is order in chaos.
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The Fractal Fern Leaf
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The generation of a fractal fern leaf using an iterated function system.
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The Fractal Twig
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The generation of a fractal twig using an iterated function system.
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JavaScript programs for
numerical methods
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If you are interested in elementary numerical methods here are a few
simple JavaScript programs for root finding problems. Netscape 3.0 or
later must be used. The programs do not work with Internet Exporer 3.0.
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Runge Phenomenon
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Maple program and graphs illustrating the Runge phenomenon in polynomial
interpolation using Maple
Java Programming
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Java(tm) - Programming for the Internet
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Sun's Home page for JavaSoft. The Java Platform, JavaSoft news, Products
and Services, Developer's Corner.
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The Java Tutorial
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An online introduction to Java programming.
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Java Coding Conventions
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The JavaSoft coding conventions.
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Java Applets
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Sun's sample java applets and links to other sites.
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JavaWorld
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An online magazine for Java programmers.
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JARS
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The Java Rating Service for the best Java applets.
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Thinking in Java
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Bruce Eckel's book (3rd Edition).
Electronic and paper versions available.
