Autumn 2013, Math 4507: Geometry

Time/Location: MWF: 11:30AM - 12:25PM Scott Lab Room E0105

Instructor: Hsian-Hua Tseng

Office: 642 Math Tower
Office Phone: 614-292-5581
E-mail: hhtseng-at-math-dot-ohio-state-dot-edu

Office Hours: MW 12:25-1:25, or by appointment.

TA: None


Textbook: Lecture notes of the course by Prof. Clemens (to be distributed over time in classes).

Description: This course concerns geometry in dimension two. We will discuss the (Euclidean) geometry of the plane. Then we move on to two most notable examples of non-Euclidean geometry: spherical geometry and hyperbolic geometry.


Grading: Weekly Homework (35%) + Midterm 1 (10%) + Midterm 2 (10%) + Midterm 3 (10%) + Final exam (35%).

Midterm 1: September 18 (Wednesday), in class. The exam covers everything discussed until September 11 lecture (inclusive), including Homework 1, 2, 3. Solutions.

Midterm 2: October 16 (Wednesday), in class. The exam covers everything discussed until October 09 lecture, including Homework 1, 2, 3, 4, 5, 6. Solutions.

Midterm 3: November 13 (Wednesday), in class. The exam covers everything discussed until November 06 lecture, including Homework 1, 2, 3, 4, 5, 6, 7, 8, 9. Solutions.

Final Exam: December 9 (Monday), 12:00pm-1:45pm. The exam covers everything discussed, including homeworks and past exams. See here for exam scheduling.

Review notes.

Homework Assignments:
updated periodically.

 Homework 1 (due September 4): Exercises 7, 9, 11, 14. Solutions.

 Homework 2 (due September 11): Exercise 18, 19, 20, 22, 24, 31. Solutions.

 Homework 3 (due September 16): Exercise 39, 41, 42. Solutions.

 Homework 4 (due September 25): Exercise 50, 54, 55, 64, 68, 69. Solutions.

 Homework 5 (due October 02): Exercise 74, 75, 81, 82, 85, 88. Solutions.

 Homework 6 (due October 09): Exercise 101, 106, 108, 111, 114. Solutions.

 Homework 7 (due October 23): Exercise 116, 127, 129, 137. Solutions.

 Homework 8 (due October 30): Exercise 146, 151, 154, 156. Solutions.

 Homework 9 (due November 06): Exercise 158, 161, 167, 168, 169. Solutions.

 Homework 10 (due November 18): Exercise 175, 178. Solutions.

 Homework 11 (due November 25): Exercise 189(b), 190. Solutions.