Lecture

Curves: differentiability and smoothness

In course

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Description

This lecture introduces curves in R², focusing on their differentiability and smoothness properties. It covers the definition of a curve as a continuous function, the concept of derivative for curves, and criteria for differentiability. The lecture also discusses the smoothness of curves, singularity points, and the angle between two curves. Additionally, it explores the length of curves and the relationship between differentiability and smoothness.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_dppczeyo

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Ontological neighbourhood

Mathematics

Analysis: Calculus

Geometry: Euclidean geometry

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