Math 100A
Mathematics in the Contemporary World
Fall, 2007
*Local links
Course syllabus
Course calendar
Homework assignments
KnightVision
Professor Scofield's homepage

*Course topic links

Chapter 1: Play Let's Make a Deal online
Chapter 2
2.2: Webpages dealing with the Fibonacci numbers, the golden ratio, etc.
Vanishing areas(?) in a triangle | more geometrical “paradoxes”
A demonstration of the construction of the Fibonacci spiral
Logarithmic spirals and the chambered nautilus shell
2.3: More developments/questions concerning prime numbers
A Who's Who in the history of efforts to prove Fermat's last theorem
Chapter 3: A short biography of Georg Cantor
Stereographic projection
Chapter 4
Flatland
An introduction to the book and author by Thomas Banchoff, former January Series speaker
The book itself
4.3: The Golden ratio in art page 1 | page 2 | page 3
4.6: Geometry
Spherical paths on the earth depicted on a flat map
The spherical path from Chicago to Rome on a rotatable globe
Spherical triangles via the same applet as the last one
Explore hyperbolic geometry here and here.
Curvature, shape of universe, and other matters
Chapter 6
Dynamical systems:
The 3X + 1 Problem: background | an applet for your own experiments
The Game of Life
Koch's curve and snowflake
Sierpinski's Triangle and carpet
The Menger Sponge
The Dragon Curve
Julia and Mandelbrot sets
6.2: A cobweb plot applet (useful in Exercises II.5-7)
6.3: An applet for the Chaos Game
An applet that shows the result of adding/multiplying two complex numbers
Two different positions on free will
* Other links:
Mozilla homepage, for its Firefox2 web browser
Get Adobe's Acrobat Reader 8.1

This page maintained by:
Thomas L. Scofield
Department of Mathematics and Statistics
Calvin College

Last Modified: Wednesday, 28-Nov-2007 15:27:58 EST