For centuries, people believed that Euclidean geometry was the only conceivable geometry. Then in the early 1800s, Bolyai and Lobachevsky daringly proposed an alternative: hyperbolic geometry. In this course, we study the three most important 2-dimensional geometries: euclidean, spherical, and hyperbolic. Our methods will be those of calculus and our goal will be to show that every surface supports one of the three most important geometries. As time allows we'll start investigating topics of current research and applications of non-euclidean geometries.
- Exam 1. Due Tuesday, March 6 at 5 PM. Please be sure to read and sign the rules.
- Exam 2. Due Tuesday, April 17 at 5 PM. Please be sure to read and sign the rules. Updated!
- Final Exam. This will be given Thursday, May 10 from 9 AM to 12 PM in Keyes 103. The exam is being provided in advance and you are encouraged to think carefully about how your answers prior to the exam. No electronic devices, books, notes, or other people may be used during the exam period. But you are welcome to discuss the exam with others before then.
![M.C. Escher Circle Limit III](CircleLimitIII.jpg)