Last edited 30apr04 by gfrancis

## Spring 2004 Course Description:

# MATH 303: ADVANCED ASPECTS of EUCLIDEAN GEOMETRY

Jump to the semester study guide , the
Calendar and to class notes.
Here is some miscellaneous advice
culled from previous editions of the course. Here are some ideas for
the projects. Here are some interesting
DPGraph scripts.

Professor George Francis

11:00 am MWF

341 Altgeld Hall

contact: gfrancis@uiuc.edu, 344 Illini Hall, 333-4794

Text: Ph.Tondeur, Vectors and Transformations, Publish or Perish, 1993.

Notes: G.Francis,* Pictures in Perspective*, Chapter 3 of* A Topological Picturebook*, Springer, 1987.

This lecture/project course treats these five themes of traditional
interest in classical Euclidean geometry from a contemporary vectorial
viewpoint, in 3-space as well as in the traditional plane.

1. The Origins of Greek Geometry (student research).

2. Renaissance Perspective and 3-dimensional Drawing (class notes).

3. The Industrial Origins of Cartesian Geometry (class text).

4. Klein's Erlangen Program to Classify Euclidean Isometries (class text).

5. Engineering Drawing from Descriptive Geometry to Computer Graphics (computer lab).

Students will be asked to complete five documentation projects,
one in each of the five themes. A project may take the form of
an oral report, a research essay, a web document, a lesson
using geometry software, a JAVA applet, a physical model,
a graphic or animation, a VR experiment. The form and
content of a proposed project is open to negotiation, and adapted
to the interest and skill of the student. The projects are
non-competitive; timely completion as "contracted" earns
full credit. There will be a written midterm and final based on
the text, notes and labs. The homework, lab reports and projects
comprise 50% of the grade. The open-journal final is 30%. There
will be one or two hourlies.