Index for MGF 1106H

MGF 1106H

Honors Liberal Arts Mathematics

Click on the image for a larger version a= nd the source.

Revised: 10/14/09

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 docu= ment 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 stude= nts prepare for tests.

Ø Course Objectives: This is the l= ist of course of objectives established by the HCC mathematics cluster.

TOPICS LINKS

The following is a list of links for each of the topics in my Liberal Ar= ts Mathematics I course.

Sets

Ø Set -- from MathWorld: A short description of sets.

Ø John Venn: A brief biography of the mathematician after whom the diagrams are named.

Ø Set Laws Review: A list of questions involving set laws.

Bases

Ø Base Summary: A one-page summary of the calculations for bases.

Ø The Base Converter: Converts a number in any base (2-36) to number in another base (2-36).

Logic

Ø The Discourses= : Written by Epictetus about 2000 ye= ars ago, chapter 17 of this work contains a nice discussion of the fundamental nature of logic.

Ø Logic: A short description of logic from Eric W. Weisstein’s MathWorld--A Wolfram Web Resource.

Ø Logic Table Calculat= or: This program constructs truth tabl= es that look exactly like the ones we construct in class! It is great for checking answers a= nd creating your own questions and tables.&nb= sp; Click on the button “Start Truth Table Constructor”. Then type in a statement.   The symbols for the logical connectives are like those we use in class.   Once you start the table constructor, check the help menu for directions regarding how to input the different symbols.

Ø Augustus De Morgan: A brief biography of Augustus De Morgan. He was one of= the first mathematicians to work on logic. He is the "De Morgan"= ; of De Morgan's laws.

Ø George Boole: A brief biography of George Boole. He reduced logic to algebra and br= ought logic into the realm of mathematics.

Ø An Investigatio= n of the Laws of Thought: A pdf version of George Boole’s famous work on logic courtesy of the Gutenberg Project.

Ø Claude Shannon:   A brief biography of Claude Shannon. He demonstrated that logic could be implemented with electrical circuits in his master's thesis! This is one of= the key ideas used to create the modern computer.

Ø = Truth Table Worksheet: This wor= ksheet is useful for memorizing the truth tables.

Ø Wilbur Wright Flies over a Horse and Carriage: Just as with the invention of the airplane man realized his dream to fly, with logic man begins to realize his dream of creating an artificial mind.

Geometry

Ø Geometry -- from MathWo= rld:   A short description of Geometry.

Ø Euclid's <= i>Elements: A wonderful HTML version of Euclid's Elemen= ts. It contains lots of explanatory text and diagrams. Many of the diagrams are java applets that can be manipulated to help in understanding the theorems.=

Ø Eratosthenes: A short biography of this African-born mathematician who cleverly calculated the circumference of the Earth using Geometry 250 years before the birth of Christ.

Ø = Proposition 32 from Euclid’s Elements: Euclid’s proof that the interior angles of a triangle form two right angles. That is, he proves that the sum of= the measures of the interior angles of a triangle is 180º.

Ø Practice Sheet for Geometry Formulas: A list of formulas you must know for Geometry. You can check if you know them by filling in the formulas for each heading.

Ø Triangle Inequali= ty: The Wikipedia entry for this basic theor= em.

Counting Principles

Ø Combinatorics -- f= rom MathWorld: A short description of combinatorics. This is the branch of mathematics that deals with counting.

Ø Permutation Calcu= lator: An online permutation calculator.

Ø A Standard Deck of Cards: An image of a standard deck of cards courtesy of Wikipedia.

Probability

Ø Probability -- from MathWorld: A short description of Probability.

Ø Blaise Pascal: A short biography= of one of the founders of probability.

Statistics

Ø Statistics -- from MathWorld: A short description of Statistics.

Ø Sam= pling and the Normal Distribution: A Maple worksheet that demonstrates = that the Normal Distribution arises naturally.

Ø The Approximation of the Binomial Probability Distribution with the Normal Distribution: A Maple worksheet that givens a graphical justification t= hat the Normal distribution can be used to approximate a Binomial Distribution.=

Stat= istical Data

Ø World R= unning Records

Ø United St= ates Census Bureau

Ø Stock Q= uotes from Yahoo Finance

Ø Chance Da= ta Sets

Ambrioso Fa= ll 2009