MATH 364 - SPRING 2024

Instructor: Professor David Singer
Office: 2145 Adelbert Road, Room 113
Extension: x2892
E-mail: david.singer@case.edu

Description. MATH 361 is a one-semester, three credit-hour course in geometry. The prerequisite for the course in MATH 122 or its equivalent. This course satisfies the SAGES department seminar requirement.

Places of interest: The Math Forum, Geometry in Action, The Geometry Junkyard, Interactive Geometry, Euclid's Elements , Geogebra, Wolfram Geometry Archive.

Text: "Numbers and Geometry," by John Stillwell. (Plus supplementary material.)

Office Hours. My official hours are posted at the link. I am also available at other times by appointment or you may drop by my office. You are always welcome!

Syllabus:

1. Some Euclidean Geometry (e.g., Chapter 2)
2. Axioms of geometry
3. Tiling the Euclidean plane
4. Isometries, similarities and other transformations
5. Klein and geometry
6. Hyperbolic geometry in the Poincare disc
7. Tiling the hyperbolic plane
8. Complex numbers and geometry
9. Spherical and Projective geometry
10. Tiling the sphere and the projective plane
11. Other topics.

Course Information: There will be regular homework assignments, which together with classroom attendance and discussion will count for 30% of the grade. Each student will prepare a written report of at least 10 pages on a topic of their choice relating to the subject matter of the course, which will count for 20% of the grade. The topic should be selected by Friday, February 16, 2023. A preliminary report of at least five pages) on the project will be due on March 8, 2023. A brief presentation (about 25 minutes) will be made by each student sometime during the term, counting for 20% of the grade. The absolute deadline for written reports April 29, 2023. There will be a midterm exam in class (tentatively) scheduled for Friday, March 1, 2023, which will count for 30%. The final exam period is December 17, 8:00-11:00AM and will be used for presentations; attendance is mandatory.

Phone: (216)368-2892

Fax: (216)368-5163
david.singer@case.edu -- Copyright 2023 CWRU -- Unauthorized use prohibited