Disclaimer: I have attempted to be comprehensive in the following, but important items may have been omitted by mistake. If you see such an omission, please let me know, but you are responsible for all of the lecture material to date.

The third hour exam for Honors 213 will be held on Friday, April 27, and will cover chapter 3 (from Proposition 3.3) through chapters 5, 6, and 7 (through the material on parallel lines admitting a common perpendicular).

• Definitions:
  • Be able to define the terms that appear (formal definitions).  Be able to describe (and use!) some of the features of hyperbolic geometry.  Be able also to describe some of the equivalents to Hilbert's parallel postulate.
• Proofs
  • Be able to construct proofs for fairly straightforward statements. Be able to justify the steps in a proof. A review of homework problems (including those done by your colleagues in classroom presentations) would be the best review for this part.
• Straight-edge and compass constructions:  Be able to do the constructions we did on Friday, April 20 (Klein and Poincaré disk models).  Please be sure to bring a straight-edge and compass
• Historical questions: 
  • Much of the material we have covered since the last exam has been historical in nature.  Please be prepared to discuss the history of the parallel postulate and the discovery of non-Euclidean geometry, including the various attempts and short biographies of the notable figures in that history.

Please let me know if there are any questions. Many thanks!