Curves and surfaces

Curves in the plane and space, curvature and torsion of a curve, global theory of curves. Surfaces in the Euclidean space, first and second fundamental form, curvature of a surface, Gauss map. Gauss-Bonnet theorem for surfaces.
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Schedule:

September 2021 – November 2021

Teaching time:

Daytime

Location:

Online
Espoo

Topic:

Mathematics

Form of learning:

On-campus
Online

Provider:

Aalto University Open University

Level:

Intermediate

Credits:

5 By Aalto University (ECTS)

Fee:

€ 75.00

Course description

After passing the course the student will be able to - recognize the need of basic geometric concepts on their own field of expertise - distinguish between internal and external properties of geometric objects - share basic skills for calculating local geometric quantities - deduce global conclusions from local quantities

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