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Course

MATH-213: Differential geometry I - curves and surfaces

Summary

This course serves as an introduction to classical differential geometry, which studies the geometric properties of curves and surfaces in the Euclidean space.

Lectures

Instructor

Georgios Moschidis

Official source

https://edu.epfl.ch/coursebook/en/differential-geometry-i-curves-and-surfaces-MATH-213

Moodle Page

http://go.epfl.ch/MATH-213

About this result

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Summary

This course serves as an introduction to classical differential geometry, which studies the geometric properties of curves and surfaces in the Euclidean space.

Lectures

Instructor

Georgios Moschidis

Official source

https://edu.epfl.ch/coursebook/en/differential-geometry-i-curves-and-surfaces-MATH-213

Moodle Page

http://go.epfl.ch/MATH-213

About this result

Lectures in this course (34)

Conforming Configurations in Veneering: Pseudosphere Example

Covers conforming configurations in veneering, focusing on the pseudosphere example.

Geodesic Curves: Minimizing Distance and Constant Speed

Covers geodesic curves parameterized at constant speed to minimize distances between points.

Implicit Surface Parametrizations

Explores implicit surface parametrizations and the use of metric tensors in surface parameterization.

Frenet-Serret Formulas: Curvature and Torsion

Explores the Frenet-Serret formulas for curvature and torsion in three-dimensional space.

Helical Curves: Theory and Applications

Explores the theory and applications of helical curves, focusing on circular helices with various parameters.

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