The first three pages of the final exam have been posted, including the fact sheets that will be included in the final.
The solutions to the study questions for the final exam have been posted.
Solutions to Homework #8 have been posted. Also, you may pick up your marked Homework #8 outside my office.
The final exam will be on Thursday, December 16 from 8:30-11:00 AM in the “A” wing of the Buchanan building, BUCH A102. For the exam, all you need to bring is your student ID and something to write with. Remember that there will be no makeup exam.
For the exam, all the paper you need will be provided for you. No notes, books, calculators, or other aids are allowed; please do not bring cell phones, pagers, alarm watches, or anything else that would make noise during the midterm. You may wish to ensure that you are familiar with UBC's Academic Regulations pertaining to misconduct during exams.
Here is a nice link where you can play with the Platonic solids.
There are some fun and intuition-helping Java applets of the disk-model of the hyperbolic plane on the web. Although you can find many yourself, I liked this one, especially the first two links - "the hyperbolic plane" and "experiments in hyperbolic geometry". Play with them for a bit, and you'll really understand these models of hyperbolic geometry better!
There is a nice annotated version of Euclid's elements online.
Instructor: Prof. Greg Martin
Office: MATH 212 (Mathematics Building)
Email address: gerg@math.ubc.ca
Phone number: (604) 822-4371
Office hours: Tuesdays 10:00-11:30 am and Fridays 2:00-2:50 pm
Description: We will begin with a fairly classical approach to Euclidean geometry, discussing fundamental theorems of geometry, triangle congruences and centers, constructions with straightedge and compass, and so on. Some of the material might ring a bell from a high school geometry class, although our emphasis will be on the foundations of geometry (axioms) and the proofs of these results. Towards the end of the course, we will see a contrast to Euclidean geometry through a study of hyperbolic geometry, a type of non-Euclidean geometry that can still be visualized.
We will also mention, to some extent, the historical evolution of the subject of geometry, the geometry of polyhedra in Euclidean (three-dimensional) space, and isometries and tilings of the plane (e.g., wallpaper patterns). The material we will be covering is essentially Chapters 0-3 and 5-8 of the textbook, with possibly one or two brief handouts for supplementary material. In summary, the emphasis of the course will be on a rigorous understanding and exposition of the subject, proof-based and abstract (as opposed to computational).
Use of the web: All homework assignments and other course materials will be posted on this course web page. After the first day, no handouts will be distributed in class. You may access the course web page on any public terminal at UBC or via your own internet connection. Accounts for the Mathematics department undergraduate computer lab (located in the MSRC building) will be given to any enrolled student who requests one; please email or visit the instructor to request an account.
All documents will be posted in PDF format and can be read with the free Acrobat reader. You may download the free Acrobat reader at no cost by following the link.
Evaluation: There will be two midterm exams and one final exam as well as weekly homework assignments. The course mark will be computed as follows:
You are required to be present at all examinations. No makeup tests will be given. Non-attendance at an exam will result in a mark of zero being recorded. Unavoidable, documented medical emergencies are the only exception to this policy.
Homework will generally be assigned on Wednesdays and due the following Wednesday in class. Late homework will not be accepted. To account for forgetfulness or unforseen circumstances, each student's lowest homework score will be dropped. Missed homework will not be excused beyond this point, except for documented medical reasons.
Students are allowed to consult one another concerning the homework problems, but your submitted solutions must be written by you in your own words. If two students submit virtually identical answers to a question, both can be found guilty of plagiarism.