MCS-115 Finite Math
Spring 2003
MCS-115 homepage
Assignments and class schedule
Useful Links Archive
Tentative Schedule
Homework Guidelines and Solutions
Project
Prof.
Steve Benzel
Prof.
Barbara Kaiser
Prof.
Moira McDermott
Statistical Data (7.7)
Population and HIV/AIDs data (
CDC
) (
HIV InSite
)
Scatter Plots
(book's CD)
Random Thoughts (7.3)
Law of Large Numbers
(text's CDrom)
Unusual Coincidences
(text's CDrom)
Buffon's Needle (
applet
)
Buffon's Needle (
applet
)
Infinite Monkey Theorem
(from Math Forum, excellent discussion)
More Monkey Business
The
SIMI
project
Chance Surprises (7.1, 7.2)
Pennies
More Monty Hall Problem from
Cartalk
Fractals and Chaos Game (6.3)
Self similarity
Koch curve and Sierpinski's Carpet
(text's applet)
Barnsley's Fern and fractal garden
(text's applet)
Fractals in the arts
Fractal antennas
(
more
) (
fractal antenna company
)
African fractals
Chaos Game
(Target Practice)
Chaos Game
applet
Chaos Game
(text's applet)
John Conway's Game of Life (6.2)
Applet
from Book's website (also on your CD)
Game of Life
at www.math.com
Article
in Scientific American by Gardiner
Euler Characteristic (5.3)
Applet
from book's CD
Rubber Sheet Geometry (5.1)
Turn an inner tube inside out
(Topological Dressmaker by Ian Stewart)
Perplexing Pencil Puzzle
Topological Puzzles
(including tangled hearts)
Möbius band and Klein bottle (5.2)
Möbius band
Möbius bands and recycling
Lego mobius bands
Biography of Möbius
Klein bottles
Klein bottle you can rotate
(Mathworld)
Pictures of Klein bottle
Klein bottle image
(John Sullivan)
Another good picture of a Klein bottle
Movies of Klein bottle
(various formats)
Large Klein bottle
(from movie)
Klein bottle with grid
Klein bottle in 4D space
(Banchoff)
Lego Klein bottles
Klein bottle products
Torus and Klein Bottle Games
Infinity (3.2, 3.3)
Biography of
Cantor
Infinity
at the History of Math Archive
Story of the
Hotel Ad Infinitum
Hotel Infinity
More about
Infinity
Infinity
(online course by Jason Howald)
Power Set, Paradoxes (3.4)
Power Set
Kurt Gödel
Gödel's
Incompleteness Theorem
Bertrand Russell
Russell's Paradox
Barber's Paradox
Clock Arithmetic and Check Digits (2.4)
Clock Arithmetic
(applets)
Practice Clock Arithmetic
(with answers) (
More
)
Credit Card Validation
Verify check digits of UPC and ISBN codes
(select Applet 10 in Chapter 8)
Prime numbers (2.3)
The
Prime
Pages
Largest Known Primes
(
largest
prime)
Eratosthenes
Prime Number Sieve
(java applet)
Eratosthenes
(history)
Prime numbers
(history)
Prime Number Spiral
Google's Prime Number page
Visualizing
the distribution of prime numbers
Aesthetics of Prime Numbers
Find a large prime,
win money
Fibonacci Numbers (2.2)
Fibonacci's
Rabbits
Fibonacci numbers
and the golden section home page
Fibonacci numbers and nature
Golden Ratio in nature
Who was
Fibonacci
Fibonacci
bio
at St. Andrew's history of math archive
Fibonacci numbers in
nature
(with animations)
Practical, commercial use
of fibonacci numbers
Fibonacci
Nim
(java applet)
4th Dimension and beyond (4.7)
Fabulous information and animations for thinking about the
4th dimension
(David Cervone)
Dimensionality
(includes some history)
Essays on
dimension
(MAA, Math Awareness 2000)
Fourth dimesion
links
(well maintained)
Some ideas about the
fourth dimension
Ask Dr. Math
(what is the 4th dimension, does it really exist?)
Hypercubes
Visualization of 4D hypercube (
applet
)
Stereoscopic animated hypercube
(view this one with 3D glasses)
Visualizing
rotating a hypercube
Two interactive hypercubes
Another hypercube
applet
Eight cubes in a hypercube
Hyperspace structures
Platonic solids
in the fourth dimension
Signifying Nothing: The Fourth Dimension in Modernist Art and Literature
Spirits, Art, and the Fourth Dimension
Fourth Dimension in Literature
Flatland
: a
satirical
literary work (describes other dimensions through analogy)
About
Abbot and Flatland
Madeleine L'Engle
and he built a crooked house
by Robert Heinlein (science fiction short story with 4 dimensional cubes)
Platonic Solids (4.5)
Java applet on text's CD
Platonic Solids
(java applets)
Platonic Solids
(why are there only 5)
Another
Platonic Solids
(why are there only 5)
About
Plato
Make your own
dodecahedron desk calendar
Golden Rectangles (4.3)
applet from text's CD
Golden rectangles
(Curtis McMullen, Harvard)
Golden Section in Art and Architecture
(slides from student presentation?)
Golden ratio in
art
and
architecture
(Cut-the-Knot)
Human beauty
and the golden ratio
The golden ratio
everywhere
(EKGs, teeth, nature, art, architecture, handwriting ?)
Controversy
surrounding the golden ratio
Misconceptions About The Golden Ratio
(George Markovsky) (pdf)
Review of psychological research
Pythagorean triples (4.1)
Generating Pythagorean triples
Generating Pythagorean triples
(applet)
Ask Dr. Math
Table of triples
Table of triples
(includes imprimatives)
Pythagorean Theorem (4.1)
About
Pythagorous
Pythagorean theorem and
baseball
Proof in book
(animated)
Another proof
animated applet
applet
applet
Euclid's proof
of the Pythagorean Theorem (java applet)
Thirty-nine proofs of the
Pythagorean Theorem
More proofs of the
Pythagorean Theorem
Sprouts
(article by Ivars Peterson)
Story 7. Let's Make a Deal (Ch. 1)
Stick or Switch
simulation (java applet)
Another
simulation
Another
simulation
which makes it easy to do 200 trials
More Monty
On
car talk
Monty Hall Problem
(Stick or Switch) websites (some broken links)
Why mathematicians care about
hat color
(this is related to the "dot problem" in Story 8)
Math in the Movies
(A problem similar to Story 3 is featured in a popular movie. Which one?)
What is mathematics?
(an article by R. Lewis, Fordham)
Interactive
explorations from text's CDROM
Surfing the Book
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Last modified: 5/20/03