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Lecture
Parametric Curves - Introduction
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Parametric Curves: Introduction
Covers parametric curves, including examples, symmetry, tangent vectors, and derivative signs.
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Differentiability of Functions of Several Variables
Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.
Parametric Curves: Analysis and Applications
Covers the analysis of parametric curves and their tangent vectors, focusing on applications and geometric interpretations.
Interpolation and Calculus
Covers revisions on calculus, derivation rules, interpolation, and tangent vectors.
Differential Geometry: Parametric Curves & Surfaces
Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.
Curves and Surfaces
Covers the representation of plane curves and the nature of obtained curves.
Linear Approximation and Derivative Parametric
Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.
Untitled
Parametric Curves: Pascal's Limaçon
Introduces the Limaçon de Pascal, a curve described by a moving point on a circle.