Lectures related to Regular Curves and Constant Speed

Parameterization of Curves

Explores parameterization of curves, emphasizing continuous settings and accurate curve representation through various examples.

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Regular Curves: Parametrization and Tangent Vectors

Explores regular curves, examples like segments and functions, and curvilinear integrals along regular curves.

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Epicyclic Curves: Modeling Instruments for Plane Curves

Explores modeling instruments for generating plane epicyclic curves, including circles and ellipses, and their spatial counterparts.

Parametric Curves: Descartes' Folium

Covers Descartes' Folium, a parametric curve with specific equations and properties, including domain boundaries and tangent vector analysis.

Curves in the Oriented Plane

Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.

Mechanics of Kirchhoff Rods I

Covers the mechanics of slender structures, focusing on exact kinematics and equilibrium equations of rods.

Ruled Surfaces: Generators and Applications

Explores ruled surfaces, surfaces generated by moving lines in space, including cones, cylinders, and hyperboloids, with applications in architecture.