#
Governor's School 2000 - Mathematics Elective

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## Course Materials

Course Schedule

Picture Gallery

## Elective Description

Mathematical modeling concerns the development of mathematical
equations which represent (model) real world events. In this
math course, we will develop different types of models for different
situations, study the mathematics needed to solve and understand
these models, and use these models to discover useful facts about
the underlying situation.

We will develop models in many areas, possibly including: plant growth,
spread of epidemics, optimal strategies for games, resource allocation,
planetary motion, movement of pollution in rivers, and design of musical
instruments.

In developing these models, we'll study different areas of mathematics,
like: difference equations and chaos theory, game theory, probability,
statistics, optimization, and numerical methods.

Prerequisites: Good algebra and general math skills.
If you know more math, we'll use more, but we'll develop most of the
mathematics we need as we need it. We'll also be using computers to
perform experiments and to try out our models. No programming
experience is necessary, unless you want to write your own programs.

Course Instructor: Dr. Charles R. Collins (B.S., Texas A&M University;
Ph.D., University of Minnesota) is an Associate Professor of
Mathematics at UT, where he teaches courses involving using
computers to solve mathematical problems.

##

Useful Computing Materials

**How-To Essentials** (unix,vi,zip,email,Xwindows,WWW,f77,gnuplot)
**Printable Version **(postscript file)

gnuplot

** Help**

** How
to print**

Remote Computing

How to get a UTCC **CAFE
account** (from UTCC)

**How
To Connect via modem**

**How
to get an ISDN line**

Online Resources

**on
UNIX and the VI editor**

**on
FORTRAN and C**

**on
Maple and Matlab**

**on
Computational Science**

**on
Internet - WWW - HTML**

**Examples
- Simulations**
##

Miscellaneous Information

TEN COMMANDMENTS OF COMPUTER
ETHICS
"The nice thing about computers is that they will do exactly
what you tell them to do. Unfortunately, they will do it exactly, so you
need to get your instructions exactly right"

--David J. Eck, The Most Complex Machine, p.173

"A computer lets you make more mistakes faster than any
invention in human history,

with the possible exception of handguns and tequila."

-- Mitch Ratliffe, *Technology Review, April 1992*

MATHEMATICS AWARENESS WEEK 1998
**SIAM** (Society fo Industrial and
Applied Mathematics) Report: Some Views
of Mathematics in Industry, *by Paul Davis*
**Mathematicians
of the Day**
**Math majors, Cheer Up !**

According to the U.S.Bureau
of Labor Statistics (summer 1996), the median annual

income for men age 30 and older
with a Bachelor's degree in Mathematics is $52,316.

That figure is second highest
among all majors (engineering is about $700 higher),

and about $8500 above the median
for all majors. [ USA Today, 15jan97 ]

**Programmers' shortage predicted**,
so learn programming now !

**Careers
in Mathematics **and some funny occupational
descriptions

New: The Nation's Best and Worst
Jobs - April 99 (includes "Mathematician")

Check the *Weather
*for
Knoxville .... and the *Temperature
*outside
Ayres Hall

*Return to ***Dr.
Collins' Home Page**
collins@utk.edu

*Last Updated: *