Bill Ralph

Associate Professor of Mathematics

PhD, MMath, BMath (Waterloo)

Office: Mackenzie Chown J428
905 688 5550 x3804

My mathematical research began in algebraic topology with the study of exotic homology and cohomology theories and their connections with Banach Algebras. After that, I developed a transfer for finite group actions and studied a number that appears in the transfer that I call the “coherence number” of the group. Lately, I’ve been using the Hausdorff dimension of the orbits of dynamical systems to generate mathematical art.

My educational research concerns the use of multimedia and computer software to teach mathematical concepts. I recently published a complete multimedia treatment of first year calculus called “Journey Through Calculus”.

Representative Publications

  1. Journey Through Calculus, a multimedia program that I designed to teach first year calculus. Available in stores everywhere September 1999. See the Brooks/Cole website at
  2. The A.R.T.I.E. teaching method. CMS Notes 1995
  3. The value set of polynomials over the integers mod m and the combinatorics of sequences Mathematika , 1995
  4. A homotopy transfer for finite group actions, Pacific Journal of Mathematics, Vol 160, No. 1, 1993
  5. The coherence Number of a finite group, Journal of Algebra, October 1989
  • MATH 1P40 M.I.C.A. I
  • MATH 3P04 Complex Analysis
  • MATH 1P01 Calculus I
  • MATH 2P04 Basic Concepts of Analysis
  • MATH 3P12 Applied Algebra