MT5830
Hyperbolic Geometry
2018-2019
20
10
SCQF level 11
2
Academic year(s): 2018-2019
SCOTCAT credits : 20
ECTS credits : 10
Level : SCQF level 11
Semester: 2
Availability restrictions: Not automatically available to General Degree students
Planned timetable:
We study two dimensional hyperbolic space, which is a fundamental example of a non-Euclidean metric space. Hyperbolic space has a rich structure and many counter intuitive properties and this module will focus on the geometry of this space, including a detailed study of the geodesic structure, the group of isometries, and the actions of Fuchsian groups which lead to beautiful tilings and fractal limit sets. We will combine ideas from analysis, geometry and group theory, with a strong emphasis on visual intuition.
Pre-requisite(s): Before taking this module you must pass MT2505 and pass MT3502 and pass MT3503
Weekly contact: 2.5 lectures (weeks 1 - 10) and 1 tutorial (weeks 2 - 11).
Scheduled learning hours: 35
Guided independent study hours: 165
As used by St Andrews: 2.5-hour Written Examination = 100%
As defined by QAA
Written examinations : 100%
Practical examinations : 0%
Coursework: 0%
Re-assessment: 2-hour Written Examination = 100%