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Lecture
Parametric Curves - Introduction
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Related lectures (31)
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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.
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Differential Calculus: Definition and Derivability
Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.
Analysis Reminder: Open Sets and Denseness
Reviews open sets, denseness, real numbers, convergence, curves, continuity, and derivatives in analysis.
Connections: motivation and definition
Explores the definition of connections for smooth vector fields on manifolds.
Parametric Curves: Lissajous and Folium
Explores parametric curves like Lissajous and the Folium of Descartes, discussing tangents, periodicity, and symmetry.
Asymptotes in Parametric Curves
Explores asymptotes in parametric curves, symmetries, tangent vectors, and qualitative studies near stationary points.
Curves and Isometries
Explores curves, isometries, Bezier curves, and the Frenet coordinate system.
Parametric Curves Study Elements
Covers the study of parametric curves and tangent vectors.