MTH 107/108 Resource Page
Online resources for MTH 107:
SIMPLE EXCEL FOR MTH 107
Simple Excel
SETS, GENERAL
Venn diagrams and their use to organize information. Venn diagrams
(Other things like this can be found by Googling "Venn Diagrams")Live lectures on different topics on finite mathematics: Finite Mathematics Lectures
PROBABILITY/STATISTICS
Various concepts and applications of probability and statistics. Applets for Probability and Statistics
Simple and powerful interactive statistics calculator-good for all needs of MTH107.
Social Security Administration website to illustrate relative
frequency of baby names by year, decade, etc.http://www.ssa.gov/OACT/babynames/
Also, you can do lots of things with baseball statistics using http://www.baseball-almanac.com/
Another good site (lots of probability related stuff) http://www.dartmouth.edu/~chance/chance_news/news.html
SPREADSHEETS (might be useful for MTH 108, too.)
Normal2.xls Use spreadsheet as alternative to table-lookup for normal distribution
Online resources for MTH 108:
GRAPH THEORY
Euler Tour and Hamiltonian Cycle algorithm applets
1. Finding out Euler tour for a eulerian graph using FLEURY's Algorithm.
2.Finding out the closure of a graph (its useful in checking whether a graph is Hamiltonian).
VARIOUS KINDS OF ENCODING
Programs to calculate check
digits, parity check sums, bar codes
http://www.d.umn.edu/~jgallian/fapp6/
http://www.nyise.org/blind/britbrl2.htm - describes the Braille writing system
http://www.howstuffworks.com/encryption1.htm - describes how data encryption works
SOCIAL SCIENCES
Programs to calculate and
illustrate the Banzhaf index for voting power
http://www.math.temple.edu/~cow/bpi.html
-
Programs to calculate solutions to fair division problems
http://www.math.hmc.edu/~su/fairdivision/
http://bcn.boulder.co.us/government/approvalvote/goodsoc.html
-an article by Steven Brams on approval voting
GEOMETRY
Material from the Geometry Center at the University of Minnesota to
generate tilings, fractals, etc
THE INTERNET
http://www.howstuffworks.com/router.htm - describes how Internet routers
work
http://www.www10.org/cdrom/papers/208/ - describes Internet crawling
http://www.spitzner.net/ - Internet applications
HISTORY AND NATURE OF MATHEMATICS
| The MacTutor history of math archive at the University of St. Andrews | The main history resource for the course. |
| Dave Rusin's atlas of mathematics subject areas | Website for structure of mathematics |
| AMS mathematics subject classification page | Website for structure of mathematics |
| The Great Internet Mersine Prime Search (GIMPS) | Supplementary material for number theory |
| Specification sheet for 4011 NAND gate | Example of symbolic logic applications |
| Web site documenting various logic gates | Examples of symbolic logic applications |
OTHER GOOD STUFF
http://math.exeter.edu/rparris/
Peanut Software is a free suite of mathematical programs available for download.
The program I am most familiar with is WINDISC. It allows calculation of Powerindices, (Bahnzaf and Shapley-Shubik) as well as many apportionment methods
(with apropos examples of electoral college etc)
Also plenty of stuff here to support any undergraduate course in graph theory.
Also there is WINSTATS which covers from simple simulations of probability experiments up to any topic I am aware of that is presented in an
undergraduate course on elementary probability and statistics.
WINPLOT allows all sorts of function plotting including parametric plots. (includes 3d)
WINLAB has animated graphics and mappings of the plane into the plane showing domain plane and range plane in separate windows. (2D vector functions)
WINGEOM allows viewing of 3d polyhedra and more.
WINMAT will get a student through undergraduate linear algebra.
WINARC is packed with various math games.
And more, and more.