Math 100A
Mathematics in the Contemporary World
Fall, 2007

Local links

  • Course syllabus
  • Course calendar
  • Homework assignments
  • KnightVision
  • Review topics: Exam 1 | Exam 2 | Exam 3
  • Class pictures
  • Professor Scofield's homepage

  • Course-related links

  • Chapter 1
  • Chapter 2
  • 2.2:
    Webpages dealing with the Fibonacci numbers, the golden ratio, etc.
    Vanishing areas?: in a triangle | more geometrical “paradoxes”
    2.3:
    More depth (and technical) on 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

  • Chapter 4
  • Flatland online
    I recommend you first read this explanation of the social satire found in the book.
    4.3:
    Golden ratio in art: page 1 | page 2 | page 3
    4.6:
    Explore hyperbolic geometry with this applet
    4.7:
    Mathforum page on topics related to three and other dimensions
    A 1990 article by Thomas Banchoff on Edwin Abbot, Flatland, and hypergraphics

  • Chapter 6
  • Dynamical systems
    The 3X + 1 Problem: background | an applet for your own experiments
    The Game of Life
    Other iterative processes that yield self-similarity
    Building Koch's curve and snowflake
    Building Sierpinski's Triangle
    The Dragon Curve
    Julia and Mandelbrot sets
    A cobweb plot applet (useful in Exercises II.5-7, Section 6.2)
    An applet for the Chaos Game discussed in Section 6.3
    An applet that shows the result of adding/multiplying two complex numbers

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

    Last Modified: Saturday, 10-Dec-2005 17:18:08 EST