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MT5830   Hyperbolic Geometry

Academic year(s): 2018-2019

Key information

SCOTCAT credits : 20

ECTS credits : 10

Level : SCQF Level 11

Semester: 2

Availability restrictions: Not automatically available to General Degree students

Planned timetable: 10.00 am Mon (odd weeks), Wed and Fri

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.

Relationship to other modules

Pre-requisite(s): Before taking this module you must pass MT2505 and pass MT3502 and pass MT3503

Learning and teaching methods and delivery

Weekly contact: 2.5 lectures (weeks 1 - 10) and 1 tutorial (weeks 2 - 11).

Scheduled learning hours: 35

Guided independent study hours: 165

Assessment pattern

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%


Module coordinator: Dr J M Fraser
Module teaching staff: Dr J Fraser