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  http://www.geom.uiuc.edu/

 

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. AndrewsThe main history resource for the course.
Dave Rusin's atlas of mathematics subject areasWebsite for structure of mathematics
AMS mathematics subject classification pageWebsite for structure of mathematics
The Great Internet Mersine Prime Search (GIMPS)Supplementary material for number theory
Specification sheet for 4011 NAND gateExample of symbolic logic applications
Web site documenting various logic gatesExamples 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.