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George K. Francis Fall 12 Hypergraphics
Last edited 15dec12

Find this document at http:/new.math.uiuc.edu/math198/

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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: http://new.math.uiuc.edu/math198

Instructor: http://www.math.uiuc.edu/~gfrancis

Office: 101 Altgeld Hall

Phone: 333-4794 (AH), 367-1266 (home)

Text: Classnotes linked to this page.

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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