Mathematical Modeling

(Math 485/685, Fall 1995, TAMU)

General Overview:

This is an exploratory home page of the Fall 1994 Mathematics Modelling Class - Math 442, at Texas A&M University. We are planning to develop an electronic course, utilizing some of the advanced technological features for distance learning and computer assisted learning.

As you explore this Home Page, you will have the opportunity to explore

• Formatted class notes (prepared by latex2html)
• Interactive sessions with Maple (2D and 3D plots), via the FORMS capabilities of Mosaic.
• Downloadable Maple worksheets illustrating chaotic attractors
• Downloadable Mathematica worksheets illustrating chaotic attractors
• On-line syllabus
• Student home pages
• Instructor home pages
• Electronic Mail distribution of homework and submission of answers
• Hypertext links into other sites offering modeling and simulation information

It is hoped that while the course is being developed, and after it is over, others can benefit from the labors of those who have gone before...

Topics:

The following are some of the topics we have covered thus far in the course:

• Modeling discrete systems, with conservation
• Deriving partial differential equations, via the continuum hypothesis
• Modeling discrete traffic flow as a continuum, and the development of shocks
• Single species population dynamics, no diffusion
• Single species population dynamics, with diffusion
• Multi-species population dynamics (predator-prey)
• Multi-body systems
• Introduction to the N-body problem of physics
• Chaos in NxN systems (N>2)

For Further Information, Contact:

Last modified: Sat Oct 15 00:27:32 CDT 1994