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Course Module Information
Course Modules
MA3101: Euclidean and Non-Euclidean Geometry
Semester 1 | Credits: 5
This course is an introduction to non-Euclidean, projective and Riemannian geometry. Topics covered include Riemannian metrics, their isometries, geodesics, curvature and the Gauss-Bonnet theroem.
(Language of instruction: English)
Learning Outcomes
- Give examples of geometries that violate the parallel postulate.
- Identify isometries and geodesics in Euclidean and standard non-Euclidean geometries.
- Calculate distance in Euclidean and non-Euclidean geometries.
- Manipulate homogeneous coordinates in projective spaces.
- Perform rotations using Quaternions.
- Calculate the Gaussian and the mean curvature of a surface.
- Prove the Gauss-Bonnet theorem.
Assessments
- Written Assessment (67%)
- Continuous Assessment (33%)
Teachers
- MARY KELLY:
Research Profile |
Email
- COLLETTE MCLOUGHLIN:
Research Profile |
Email
Reading List
- "Geometry and Topology" by M. Reid and B. Szendroi, C.U.P.
- "Naïve Lie Theory, Undergraduate Texts in Mathematics" by J. Stillwell, Springer
Note: Module offerings and details may be subject to change.