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Mathematical Modeling II with Calculus BC


The Math Modeling II Main Page

Mathematical Modeling II with Calculus BC (MMII/BC for short) is Polytechnic School's highest level mathematics class. Originally created in 1987 by Poly math teacher Richard Sisley, MMII/BC has been taught for the past 16 years by Steve Robinson, who has revised and updated the course several times during that period. The prerequisite for MMII/BC is a course called, not surprisingly, Mathematical Modeling I with Calculus AB (MMI/AB), also a Sisley creation. In that course, junior level students are introduced to mathematical modeling with differential equations and complete the AB Calculus syllabus of the College Board. The MMII/BC course is designed to build upon this knowledge by extending the modeling process to discrete dynamical systems, through the study of difference equations. Difference equations are the discrete counterpart to the continuous differential equations of the calculus. During the last third of the twentieth century, research in discrete dynamical systems played a major role in the development of chaos theory and fractal geometry. Steve Robinson became very excited about these new developments and spent four summers, from 1993 through 1996, studying chaos theory and fractal geometry with some of the leading researchers in these fields. The first semester of the MMII/BC course consists of material developed by Robinson during these four summers and afterward. The second semester of the course is devoted to completion of the BC Calculus syllabus of the College Board. This web site was created to serve students as a supplementary guide to the course as well as to encourage them to adventure into areas not covered in class. The navigation buttons on the left of each page lead to other pages in this site, while those on the right will take you to other sites which deal with the topics discussed in class. You may first want to go to the page called "About This Site" to get an overall view of what you will find on these pages.

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Links

Polytechnic School

The Non-linear Lab

UT Austin Chaos Site

Boston U. DYSYS Site

Chaos & Fractals FAQ

Visual Calculus

College Board AP Calculus

Java Applets for Calculus

Email Mr. Robinson