This course covers classical aspects of (largely plane) geometry: Euclidean geometry, vector geometry, projective geometry, transformation groups, and a tiny bit of hyperbolic geometry. We will follow Stillwell's The Four Pillars of Geometry fairly closely.
Grades for this course will be determined from the following components: weekly homeworks (50%), a midterm paper (20%), and a final paper (30%). The homework assignments will be listed below as they become available. You can also find important dates concerning the term papers (e.g., when you should select a topic by and when it should be submitted).
Our regular meeting times are listed below, and I have also posted my office hours. I will be updating this webpage throughout the semester.
|Due May 5th:||No more problems! Just work on those papers.
|Due April 22nd:||From 8.6: #2-6 (we did #1 in class)
|Due April 15th:||From 8.2: #1-6 (you might have to read 8.2 to learn the book's conventions)
|Due April 8th:||From 7.6: #3-7
|Due April 1st:||From 7.1: #3
From 7.2: #2-3, 5-6 (#3 should read R^-1 X R rather than R X R^-1.)
|Due March 25th:||From 6.2: #5
From 6.3: #1,4
From 6.4: #5-6
Figure out why the last step of the addition construction fails if the auxiliary parallel 'L' is picked to be the horizon line.
|Due March 11th:||Midterm paper final form due!
|Due March 4th:||From 5.5: #1-3
From 5.6: #3-4
Midterm paper rough draft due
|Due February 26th:||From 4.3: # (Just read this section)
From 4.5: #3
From 4.6: #1-4
|Due February 19th:||From 3.4: #1-3
From 3.6: #1-7 (be sure to use #4 for the final three!)
|Due February 12th:||From 2.1: #1-5 (start with the angle-sum of a triangle being pi)
From 2.7: #3-4 (use 2.1.2, also on the assignment, and 2.7.2, which we did in class)
From 2.8: #1-3 (for 2.8.3, start with the bottom line of the figure and begin drawing circles to construct the other points on the pentagon)
Read Section 2.9 and convince yourself the axioms listed are reasonable.
|Due February 5th:||From 1.3: #5
From 1.4: #3, 4
Play the first few rounds of http://euclidthegame.com/
This is a work in progress.