This page http://new.math.uiuc.edu/595index.html was last updated 14dec15 by firstname.lastname@example.org.
Class Webpages 2015.
Class Matters 2015.
ISL busroute 2015 for the Fieldtrip
CAVE tours 2015 for the Fieldtrip
Piazza Discussion Forum
PDF of MathViz Powerpoint presented in MA499 6may15
Optiverse Video on YouTube. Last taught Spring 2012.
We present the geometrical principles of real-time interactive computer animation (RTICA) for mathematical visualization as it is practiced in the classroom, research seminar, and webpages but also in immersive virtual environments from head-mounted displays (Oculus Rift) to the CAVE at the Illinois Simulator Lab (ISL) of the Beckman Institute.
The course also includes a survey of classical topics including 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, and the Lienard-VanderPol dynamical system.
All available topics are online, and students will be invited to request for class elaboration and discussion, those topics of particular interest to them. For their course grade students will create a webpage and give a presentation to the class on a topic of their choosing.
Students inexperienced in programming may take an individual study course to learn how to program a mathematical RTICA.