Applets

Here is my collection of experimental mathematical games, simulations, and other apps I have written (or supervised) over the years.

— Algebra —

• A preliminary demo of an algebra game in Scratch (discussion here), solving a single (randomly selected) linear equation in one unknown using two operations.
• A more developed version of the same game, still programmed in Scratch, with 12 levels, with a focus on making challenging and entertaining problems rather than on basic algebra skills. (Discussion here)
• A variant of the above game with 12 random levels, with the n^th level formed by performing n moves in reverse.

— Logic —

• A solver for Lewis Carroll logic puzzles in Scratch (discussion here).
• An interactive textbook for first-order logic in Javascript (and also CSS and HTML); discussion here and here, and code here.

— Linear algebra —

These Java apps were coded by Kim Chi Tran under my supervision.

• Vector calculator
• Gaussian elimination
• Matrix calculator
• Linear transformations in R^2
• Eigenvalues and Eigenvectors
• The Gram-Schmidt orthogonalisation process

— Complex analysis —

• The complex plane
• Elementary complex maps
• Mobius transforms
• Multi-valued functions
• The complex derivative
• The complex integral
• Taylor and Laurent series
• The fundamental theorem of calculus
• The residue theorem
• The argument principle

— Miscellaneous —

Some miscellaneous Java applets:

• Besicovitch sets
• Conformal compactification
• Honeycombs (with Allen Knutson)
• Exponent Calculator
• Multiple choice applet (now a wiki; see also these two discussions).

Source code for the java applets can be found here.