What can we do with a compass and a straightedge? These simple tools can be used to create shapes, do arithmetic and prove fun facts about geometry. This course will teach students geometry as the ancient Greeks saw it, using only tools that were available then.
Can a clay ball be deformed into a doughnut without cutting, pasting, or poking any holes? How many colors are needed to color a map of the U.S.? To find the answer to these questions, mathematicians study topological invariants. We will use topological invariants to describe these and other qualities of spaces.