(Last updated Tuesday, May 25 at 11:15am)
The first class meeting will be on Monday, February 1 at 4:40pm.
After the first week of class, we will use Monday's class time as an office hour meeting 4:40p–5:40pm and we will have a live class session on Wednesdays 4:40–5:40pm.
All meetings will occur on Zoom (Zoom Link).
Week 14 (5/10--5/14)Hint for #5.
Week 13 (5/3--5/7) Prove that any triple of non-negative real numbers whose sum is less than pi can be realized as the angles of a hyperbolic triangle.
Week 12 (4/26--4/30) Review basic multivariable calculus and introduce the notion of hyperoblic area.
Week 11 (4/19--4/23) Prove that every hyperbolic circle is a Euclidean circle.
Week 10 (4/12--4/16) Show that the inversion of a circle centered at the origin is a hyperbolic rigid motion.
Week 9 (4/5--4/9)
On account of spring break and wanting to start hyperbolic geometry during a live session, there is only one pre-recorded video for this week.
Week 8 (3/22--3/26)
Week 7 (3/15--3/19)
Week 6 (3/8--3/12)
Many students are having/had exams around this time, so I thought I would only post one video for this week. It will also allow us to make our transition to a new topic together in the live session.
Week 5 (3/1--3/5)The definition of translation I gave in the notes is inadequate for guaranteeing translations are rigid motions. The easiest fix is to just assume from the beginning that translations are rigid motions (so in the definition I gave, simply replace the word “transformation” with “rigid motion” and all is good). With this definition, Exercise 1 on Assignment 4 no longer makes sense as a problem, so please skip it.
Week 4 (2/22--2/26)
Week 3 (2/15--2/19)
Schedule Change Notice: The college is closed on Monday in observance of President's day. Office hours on Monday are cancelled, but Wednesday's class time will be treated as an office hour. There is only one video for this week, since we would have lost a day during a regular in-person class.
Week 2 (2/8--2/12)
Make sure to read the Homework Guide document so that you understand how to properly complete the homework.
Week 1 (2/1--2/5)
Assignment 0 — Due Friday, February 5
The Foundation's of Geometry by David Hilbert (Of historical interest, not required)