Honors 213
Final Exam Review
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 final hour exam for Honors 213 will be held on Monday, May 8
at 4:00 PM and will be a two-hour comprehensive exam.
Suggestions for review:
- Review the exam review documents for the preceding four hour
exams
- Review hour exams and homework.
- Review the Poincaré disk model. With respect to this
model,
- Be able to describe interpretations for points, lines,
incidence, betweenness and congruence (including
Poincaré length).
- Know the definitions for inverse, be able to illustrate the
construction of an inverse, and be able to explain the role of
inversion in demonstrating that the Poincaré disk
interpretation is actually a model. Be familiar with
propositions 7.1 - 7.5 (I haven't decided whether or not to add
these to the list, since some of them take the role of
constructive definitions).
- Philosophical musings
- The role of a final exam is to tie together the various
parts of the course. Look for repeats of questions that
appeared in earlier exams (What is an axiom? What is a proof?
What is the nature of mathematical truth? Be ready to explore
more general questions ("Is hyperbolic geometry true?") but be
able to support your answers with evidence from the material in
the textbook and papers.
- There will, of course be the usual questions about
definitions, and short proofs or portions of proofs.
Please let me know if there are any questions. Many thanks!