try George K. Francis Fall 12 Hypergraphics Last edited 15dec12
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Fall 2012 Course Description:

Freshman Mathematics Seminar: Hypergraphics2012.

Instructor: George Francis
Time: 3:05 -- 4:50 pm MWF
Locations: 102 Altgeld Hall
Mailbox: 250 Altgeld Hall. Class Portal:
Office: 101 Altgeld Hall
Phone: 333-4794 (AH), 367-1266 (home)
Text: Classnotes linked to this page.

Look at some students projects in the 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2008, 2009, 2010, 2011, editions of Math 198.

Students in this tutorial/lab course learn basic geometrical programming in the REU-Lab of the Mathematics Department. Novice programmers may use fully functional real time interactive animations (RTICA) to explore the 4th dimension, non-Euclidean geometries, fractals, cellular automata, chaotic dynamical systems etc. Expert programmers are encouraged to modify or (re)write these, and to create new ones for future Math 198 students.

Previous programming experience or advanced calculus are not required. Good spatial intuition, some trigonometry, and much geometrical curiosity are prerequisites. Some elementary physics and calculus are recommended. Experienced programmers are also welcome, but they will complete an individual course of study. Detailed tutorials and supervised practice sessions will augment the course for novice programmers.

George Francis joined the University of Illinois faculty in 1968. His research papers are in low-dimensional topology, geometry, analysis, statistics, control theory, and geometrical computer graphics. In addition to courses in these fields, he has taught logic, mathematical biology, and catastrophe theory. Professor Francis' work on descriptive topology A Topological Picturebook (Springer Verlag, 1987, PB 2006) has been translated into Japanese and Russian. He is a professor in the Mathematics Department, the Beckman Institute, and the Campus Honors Program, and he is a senior research scientist at the National Center for Supercomputing Applications . He collaborates with computer artists and graphics programmers on immersive virtual environments at SIGGRAPH, Conferences, and Museums.

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