Parametric Curves - Introduction

Related lectures (31)

Page 3 of 4

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

Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.

Explores finding tangent equations and slopes through derivatives.

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

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

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

Discusses the Implicit Function Theorem and its application to tangent planes and derivatives.

Explores differentiability in two variables and the chain rule for compositions.

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

Explores the definition, existence, and uniqueness of parallel transport of tangent vectors on manifolds.