Parametric Curves: Introduction

Related lectures (31)

Page 1 of 4

Introduces parametric curves and discusses tangent vectors and symmetry properties.

Explores parametric curves like Lissajous and the Folium of Descartes, discussing tangents, periodicity, and symmetry.

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

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

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Explores curves, isometries, Bezier curves, and the Frenet coordinate system.

Covers the study of parametric curves and tangent vectors.

Covers the representation of plane curves and the nature of obtained curves.

Covers the geometric analysis of ellipses and circles, including foci, center, and symmetry.

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