MGF 1107
Liberal
Arts Mathematics II
Click on image for source and a larger image.
Course Handouts
Ø Syllabus: This document will give you a good idea of what the course will be like.
Ø Schedule: This document gives a tentative schedule for the entire term.
Ø Practice Problems: This document contains a list of problems to complete in order learn the material.
Ø Assignment Sheet: This document contains a list of homework problems to help students prepare for tests.
Ø Course Objectives: This is the list of course of objectives established by the HCC mathematics cluster.
Reviews
Ø Review for Test 3
Computer Projects
Ø Hamilton Method Apportionment Project
Ø Congressional Apportionment Project
Ø Financial Mathematics Project
Ø Computer Algebra System Project
Ø HMTL Version of Computer Algebra System Project
Ø HTML Version of Number Theory Project
TOPICS
LINKS
The following is a list of links for each of the topics in my Liberal Arts Mathematics II course.
Voting
Methods
Ø Example
Problems on Voting Methods: This site contains notes for a
mathematics course at
Ø Voting Methods
Lectures: A nice set of lesson on
voting method courtesy of
Ø 2005 Heisman Trophy Voting: The Heisman Trophy in college football is decided by a Borda count. Try working out the points for each player as given in at the bottom of this article. The article comes from the website devoted to the Heisman Trophy—Heisman.com - Heisman Trophy.
Ø Solution to #15 in 1.1: This problem is a good example of a strategic voting question.
Ø Three Proofs of Arrow’s Impossibility Theorem: Although these proofs by John Geanakoplos are beyond the level of the course, I have included this link here for any interested students. It is a pdf file and requires acrobat reader to open it.
Ø Instant Runoff Voting: In some parts of the country voters are advocating the use of Instant Runoff Voting as a fairer way to resolve local elections. IRV is a practical implementation of the Hare method we discuss in class. My thanks to James Moore for bringing the issue to my attention.
Ø Online Voter Registration: A link to the voter registration site maintained by the Florida Department of State Division of Elections.
Apportionment
Ø Congressional
Apportionment: This site contains information on apportionment from
the U. S. Census Bureau. It includes information on the history of
apportionment in the
Ø United States
House of Representatives: This page
contains a list of the all the members of the United States House of
Representatives. The link takes you to
the section on the list with the members from
Financial Mathematics
Ø Formulas for the Financial Mathematics: These are the formula we will learn about.
Ø Populations
Projections: A web site devoted to
populations projections for the
Ø History of the Ben Franklin Institute: A wonderful real-life story of a founding father’s imaginative philanthropy and the power of compound interest.
Graph Theory
Ø Graph Theory -- from MathWorld: A short description of Graph Theory.
Ø The Konigsberg Bridge Problem: This site contains information about Euler’s well-known problem and the origins of Graph Theory.
Ø History of the TSP: A great site on the history of the traveling salesman problem.
Ø William Hamilton: A short biography of the mathematician for whom the hamiltonian circuit is named.
Ø Julia Robinson: A short biography of the mathematician believed to have coined the term “traveling salesman problem.” She is also the first women to be elected to the National Academy of Sciences.
Number Theory
Ø Number Theory -- from MathWorld: A short description of Number Theory.
Ø An Example of Modular Arithmetic: This example shows how modular arithmetic can simplify some kinds of computations.
Ø Information Sheet for Cryptology: Formulas and other information for doing affine ciphers.
Ø Cryptology Interactive Worksheet: This Excel worksheet allows the user to encode and decode messages using an affine cipher.
Ø Euclid's Elements: A wonderful HTML version of
Ø Fermat: Fermat was an amateur mathematician who corresponded with the best mathematicians of his day in his effort to solve mathematical problems. He proposed, and claimed to prove, Fermat’s Last Theorem.
Ø Euclid: The author of the Elements—a work which collected and expanded on the Geometry and Number Theory known to the ancient Greeks.
Ø Eratosthenes: Two hundred fifty years before the birth of Christ this African-born mathematician use Geometry to accurately calculate the circumference of the Earth.
Ø Andrew Wiles: In 1993, he proved Fermat Last Theorem a 300-year old unsolved mathematics problem in Number Theory.
Ø The Ghost Whisperer Crystal Ball: An interesting application of Number Theory. How does it work?
Ambrioso Summer
2009