- We will use handouts in class instead of a textbook.
Students are expected to purchase Polydron building kits for
making polyhedral models. The book ``Geometry and the Imagination''
by Hilbert and Cohn-Vossen will provide some supplementary reading,
but unfortunately is out of print.
There is no prerequisite except your enthusiasm and willingness to learn.
- Students are expected to keep a journal recording
what you learn in class and your solutions to problems assigned for
homework. Journals will be collected and read once a week.
- A major part of the course grade will be based
on a final project. Students may choose to investigate some
topic and write a report, to build a physical model, or to
write a computer program.
Mathematics can be thought of as the search for abstract patterns in nature.
We will investigate patterns in geometry, including
polyhedra, topology, curvature, and symmetries.
Rather than using classroom time for traditional lectures, we will
get everyone involved in explorations and discussions, often involving
hands-on experiments with models. The assignments will emphasize clear
exposition of ideas.