Last modified: 24 May 2018 11:18
One of the aims of the course is to understand the mathematical concept of curvature. We will do this by first studying the geometry of polygonal surfaces, and then by looking at smooth surfaces in Euclidean space.
Polygonal surfaces provide a set of very easy examples with which we can explore the new ideas and quantities. They also allow us to develop the intuition needed in the later part of the course.
|Session||Second Sub Session||Credit Points||15 credits (7.5 ECTS credits)|
The geometry of polygonal complexes; manifolds, curves on manifolds, vector fields, simple mechanical systems, Riemannian metric, geodesics, curvature; examples from modern physics.
This course alternates with MX4540 Knots.
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1st Attempt: 1 two-hour written examination (80%) and in-course assessment (20%).
In-course assignments will normally be marked within one week and feedback provided to students in tutorials. Students will be invited to contact the Course Coordinator for feedback on the final examination.
In-course assessment will be marked and feedback provided to the students.