Parametric Curves: Descartes' Folium

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (31)

Page 2 of 4

Differential Geometry: Curves

Explores the geometry of parametric curves, covering tangent vectors, curvature, and curve smoothing techniques.

Asymptotes in Parametric Curves

Explores asymptotes in parametric curves, symmetries, tangent vectors, and qualitative studies near stationary points.

Interpolation and Calculus

Covers revisions on calculus, derivation rules, interpolation, and tangent vectors.

Vector Calculus: Line Integrals

Covers the concept of line integrals and their application in vector fields.

Differential Geometry: Surfaces

Explores the differential geometry of parametric surfaces, covering tangent space, normal curvature, principal curvatures, and asymptotic curves.

Regular Curves and Constant Speed

Covers regular curves and constant speed, with examples of circles and helices.

Regular Curves: Parametrization and Tangent Vectors

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

Geometrical Aspects of Differential Operators

Explores differential operators, regular curves, norms, and injective functions, addressing questions on curves' properties, norms, simplicity, and injectivity.

Surface of Revolution

Explains the parametric equations of surfaces of revolution generated by curves in space.

Parametric Curves: Envelope and Caustics

Explores parametric curves, focusing on finding envelopes and caustics.