We will explore several approaches to geometry: constructions with straight-edge and compass, the axiomatic approach of Euclid and Hilbert, analytic geometry via linear algebra, and Klein's approach using symmetries and transformations. This will open the doors to many non-Euclidean flavors of geometry. Spherical and hyperbolic geometry will be studied in some detail.

Class log

The course text is The four pillars of geometry by J. Stillwell. SpringerLink.

There will be weekly homework, due at the beginning of Wednesday's class (first homework due 9/19/18). No late homework will be accepted; instead your lowest two homework scores will be dropped.

There will be one midterm exam and one final exam.

You are allowed one sheet of notes (letter-size, both sides) on the exams. Calculators, additional notes, and the textbook are not allowed on the exams. You should bring your student ID (UCard) to each exam.

The midterm exam is Wednesday 10/24/18, 7:00PM--9:00PM, in LGRT 121.

Midterm review problems pdf. Large print version pdf. Solutions pdf.

Midterm exam pdf. Large print version pdf. Solutions pdf.

The final exam is Friday 12/14/18, 8:00AM--10:00AM, in LGRT 123.

Final review problems pdf. Large print version pdf. Solutions pdf.

There will be an (optional) review session on Thursday 12/13/18, 3:00PM--4:00PM, in LGRT 141.

You are allowed one sheet of notes (letter-size, both sides) on the exams. Calculators, additional notes, and the textbook are not allowed on the exams. You should bring your student ID (UCard) to each exam.

Your course grade will be computed as follows: Homeworks and quizzes 35%, Midterm exam 30%, Final exam 35%.