Lecture
Parametric Curves - Introduction
Related lectures (36)
Parametric Curves: Introduction
Covers parametric curves, including examples, symmetry, tangent vectors, and derivative signs.
Differentiability and Tangent Lines
Explores differentiability, tangent lines, and graph interpretation.
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Derivative and Local Extrema Study
Explores the study of local minima and maxima through derivatives and sign changes.
Parametric Curves: Limaçon de Pascal
Introduces the Limaçon de Pascal, a parametric curve with unique properties.
Asymptotes in Parametric Curves
Explores asymptotes in parametric curves, symmetries, tangent vectors, and qualitative studies near stationary points.
Parametric Curves: Pascal's Limaçon
Introduces the Limaçon de Pascal, a curve described by a moving point on a circle.
Parametric Curves: Descartes' Folium
Covers Descartes' Folium, a parametric curve with specific equations and properties, including domain boundaries and tangent vector analysis.
Parametric Curves Study Elements
Covers the study of parametric curves and tangent vectors.
Parametric Curves: Lissajous and Folium
Explores parametric curves like Lissajous and the Folium of Descartes, discussing tangents, periodicity, and symmetry.