MATH471 HYPERBOLIC GEOMETRY
| Course Code: | 2360471 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 7.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | Prof.Dr. MUSTAFA KORKMAZ |
| Offered Semester: | Fall Semesters. |
Course Objectives
At the end of this course, the students are expected to explain Euclid's Parallel Postulate and why there are other geometries in which it does not hold, provide models of the hyperbolic plane, describe the Möbius transformations of the hyperbolic plane, and perform calculations involving lengths, distances, angles and areas in the hyperbolic plane.
Course Content
Parallel postulate and the need for non-Euclidean geometry, models of the hyperbolic plane, Möbius group, classification of Möbius transformations, classical geometric notions such as length, distance, isometry, parallelism, convexity, area, trigonometry in the hyperbolic plane, groups acting on the hyperbolic plane, fundamental domains.