Parametric Curves: Introduction

Related lectures (31)

Page 2 of 4

Explains tangent vectors of curves and the construction and applications of Bézier curves in computer graphics.

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

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

Covers the analysis of parametric curves and their tangent vectors, focusing on applications and geometric interpretations.

Explores the definition of curves, parameterized curves, and tangent vectors in relation to open intervals and continuous functions.

Introduces the Limaçon de Pascal, a parametric curve with unique properties.

Reviews open sets, denseness, real numbers, convergence, curves, continuity, and derivatives in analysis.

Introduces the Limaçon de Pascal, a curve described by a moving point on a circle.

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

Discusses parametric curves with infinite branches and the behavior of functions near asymptotes.