Mathematical Modeling II
with Calculus BC
About This Site
This site was specifically designed for the students in
Polytechnic School's Mathematical Modeling II with Calculus BC course (MMII/BC), but, of course, anyone is
welcome to drop in for a visit. For the
MMII/BC students, the site should be used as a supplement to what you are learning in class and as
a starting point from which to explore extensions of the classroom topics. The web site alone
cannot begin to give you detailed instruction in the mathematics of
dynamical systems, chaos theory, fractal
geometry, and the "C" topics from the BC Calculus syllabus.
The navigation buttons on the left side of each page will take you to other pages within this
site, while the buttons on right side take you outside the MMII/BC site. Clicking on any of the
buttons on the right will open a new page in your browser. Here are brief descriptions
of what awaits you when you click each of these outside link buttons.
Polytechnic School--This link takes you
to the home page of Polytechnic School, the institution without which none of this would
be possible.
The
Non-linear Lab--This site gives a rather detailed introduction to the
ideas and the mathematics behind chaos theory. It focuses more on continuous systems
than on discrete ones and so provides a nice complement to our emphasis on discrete
dynamical systems in the MMII/BC class.
UT Austin Chaos Site--
Here is an easy to follow introduction to the history of science pertaining to the
discovery of chaos theory, including a discussion of the philosophy of determinism.
Boston University's Dynamical
Systems and Technology (DYSYS) Site-- This is Professor Robert Devaney's wonderful
site where you can learn more about the Mandelbrot Set (one of the icons of Chaos Theory)
than just about anywhere else on the web. There is much more on this site as well,
including an analysis of Tom Stoppard's amazing 1993 play Arcadia, which is full
of references to chaos theory and fractal geometry.
Chaos and Fractals
FAQ--Here you will find answers to frequently asked questions about chaos and
fractals. A lot of them!
Visual Calculus--Here are some nice lessons and tutorials on various topics from calculus
developed at the University of Tennessee at Knoxville.
College Board AP Calculus--This is the "official" AP Calculus site from the
people in charge of the entire Advanced Placement Program.
Java
Applets for Calculus--If you are a visual learner or are just a big fan of
animations, this is a place you should enjoy.
Email Mr. Robinson--In case of
emergency, here is a direct line to the teacher of MMII/BC.
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