Academic Catalog

MATH471 HYPERBOLIC GEOMETRY

Course Code:	2360471
METU Credit (Theoretical-Laboratory hours/week):	3(3-0)
ECTS Credit:	6.0
Department:	Mathematics
Language of Instruction:	English
Level of Study:	Undergraduate
Course Coordinator:	Prof.Dr. MUSTAFA KORKMAZ
Offered Semester:	Fall Semesters.
Prerequisite:	Set 1: 2360252 Set 2: 2360213
One of the sets above should be completed before taking MATH471 HYPERBOLIC GEOMETRY.

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.