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Abstracts for Session 6
Saturday, 8:00-8:45am
- Timothy Miller, Using the TI Graphing Calculator in
Statistics, Room 125
- Graphing calculators can be used to help students visualize
statistical concepts. Several programs will be presented that are
designed to illustrate and compare the standard probability
distributions (binomial, hypergeometric, Poisson, normal, Student’s t,
chi-square) both graphically and numerically. Also, programs that
perform simulations will be discussed. These programs are available
for the TI-82, TI-83, TI-85, TI-86 calculators. (Bring your
calculators to download copies of the programs.)
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- Showcase: Scientific Notebook Demonstration (Libby
Holmgren presenting)
- This is another in a series of sessions that have been presented
by members of the Math EXPO steering committee to showcase new
technology. This is not a keystroke oriented tutorial. The purpose
of this session is to highlight some of the unique characteristics of
the Scientific Notebook software. This very affordable software
allows users to easily enter both text and mathematics in natural
notation. It also includes the power of symbolic computation and
graphing. If you’ve wondered what this software is about, this is an
easy way to find out.
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- Chuck Ames, Parametric and Polar Equations with Regular
Polygons to Demonstrate DeMoivre's Theorem, Room 302
- This talk on parametric and polar equations is geared basically to
the Precalculus course level. We’ll cover the graphing of regular
polygons, cover some rotational and symmetrical symmetries and then
delve into the use of these figures to represent, pictorially, the
roots of complex numbers. No graphing calculator experience is
required of the audience. Sharp EL9600 graphing calculators will be
available, and I will be using the same in my demonstrations, but the
material is easily worked with any graphing calculator that a
participant may have or bring with them.
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- Elizabeth Appelbaum, Cancer Cells and Other
Examples of Exponential
Growth, Room 306
- World population over the centuries - Investments with compound
interest - Cancer cells in a tumor.
Roughly speaking, these are all examples of exponential growth. As
real examples involving life and money, they may be more motivational
than the typical textbook example of generic bacteria, safely
isolated in a Petri dish. For world population, two graphs will be
shown: one on a conventional scale, and the other on a logarithmic
scale. The data is from a United Nations site on the Internet. The
time runs from 1 C. E. projected to 2200 C. E. For cancer cells, a
diagram will be shown of how a tumor grows from one malignant cell.
The exponential function is a common model for cancerous growth, but
the best model is the Gompertz function, which will be discussed.
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