Project/Paper 1
Particulars
The first project/paper
starts with an article or two from our text. Read through the
article and find something of interest to expand on. It may include
an interesting algorithm, a diagram, a theorem, a proof,
or a problem. Once you have settled on an article, look
for some further resource on the topic. The text has an extensive
bibliography. Look up up a relevant reference in the math library
(in the basement of POT near the elevators). Search any of
several math history web sites for information. Here is a nice
one:
http://www-groups.dcs.st-and.ac.uk/~history
The project/paper is
to be prepared in a Maple worksheet. It should include
text, Maple calculations, and Maple graphics. It must be at least
2*n pages (check with print preview) with the font set at 12 point Times
New Roman and the output removed, where n < 4 is the number of
people on the team submitting the project/paper. Include references
you used in your project.
Possible topics:
Plimpton 322, Babylonian Geometry, Hippias of Elis
and the quadratrix, quadrature of lunes, trisection of an angle,
Appolonian problem ... or any topics from articles in pp 34 to 194
of the text.
Select two topics and
email them to me at carl@ms.uky.edu
within 2 weeks together with the other team members. I will assign
one of the topics to your team or ask you to select another.
When your project is
done, email it to me as an attachment. I may ask your
team to present the project to the class, if time permits.
You should complete the first project by Feb 18.
1/22/99 project
1 assignments to date:
Amy Damron, Shane Kirk,
Renea Mielec* -- Perfect numbers
John Stream,
Ben Phillips* -- Paradoxes of Zeno
Cateryn Kiernan,
Darrell Mattingly*, Matt Igyarto -- Duplication
of the cube
Chris Rakes,
Aaron Zerhusen, Shasta Meece* -- Diophantus's
Equations
David Reed*,
Liz Attig, Pamela Ard -- Pythagoras'
triangle theory and prime numbers
Melanie Williamson,
Lisa McNary* -- Archimedes method of trisecting an angle
Matthew Brown,
Angie Clark, and Michelle Whitt* -- geometric algebra
Jamie Bailey*,
Brian Oberg -- The
Area of a parabolic segment
Jimmy Schroer,Heather
Conger, Shawn Overbay -- Ptolemy's theorem
Adam Gillette,
Erin Shoot* -- the
Golden Section
Jessica Weddle*,
Angie Keith -- Figurate Numbers
Jessica Scott,
Heather Durrett -- Geometry as applied arithmetic.