Checklist for topics promised, planned, or considered.

*geometry of computer graphics, 
*real-time interactive computer animation  (RTICA)  for mathematical visualization, 
*immersive virtual environment, (IVE) the Cube, CAVE, and CANVAS  the ISL 

Specific topics
*structure of the OpenGL graphical pipeline, 
*polyhedral encoding of surfaces as triangular meshes, 
*geometry of linear and aerial perspective (light and shade), 
*representation of the 3-D affine group in 4-D homogeneous coordinates, 
*algebra of 3-D rotations in terms of unit quaternions, 
*projective spaces and their Euclidean, spherical and Minkowski (hyperbolic) metrics. 

*other techniques for innovative mathematical application. 
**non-Euclidean splines and morphing techniques, 
**real time interactive texture mapping, 

*classical topics 
**binocular optics and 
**color theory, 
**Haussdorff dimension and fractals, 
**chaos and strange attractors, 
**Wolfram's cellular automata, 
**Barnsley's iterated function systems, 
**Julia and Mandelbrot sets, 
**discrete and continuous logistic equations, 
**Lienard-VanderPol dynamical system.

*Prospective students 
** good spatial intuition, 
** some artistic abilities or ambitions, 
** solid grounding in linear algebra and vector calculus. 

* concurrent tutorials do not require programming. 
**classroom/dissertation line and surface graphics tools 
***texWins/LaTeX
***html(asciidoc,pudding)
***Grapher/DPgraph
***iPaint/Paint
***GEX/KSEG
***Xfig/ImageMagick

*Experienced programmers 
**BASIC, Pascal, C/C++, Java, Python, or Mathematica, 
*For 2 additional credits of independent study 
*ISL EOH project.