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Lecture
Parametric Curves Study Elements
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Parametric Curves: Descartes' Folium
Covers Descartes' Folium, a parametric curve with specific equations and properties, including domain boundaries and tangent vector analysis.
Differential Geometry: Parametric Curves & Surfaces
Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.
Parametric Curves: Infinite Branches
Discusses parametric curves with infinite branches and the behavior of functions near asymptotes.
Asymptotes in Parametric Curves
Explores asymptotes in parametric curves, symmetries, tangent vectors, and qualitative studies near stationary points.
Parametric Curves: Descartes' Folium
Covers Descartes' Folium, a parametric curve with domain boundaries and tangent vector analysis.
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.
Curves and Surfaces
Covers the representation of plane curves and the nature of obtained curves.
Parametric Curves: Introduction
Covers parametric curves, including examples, symmetry, tangent vectors, and derivative signs.
Tangent Vectors and Bézier Curves
Explains tangent vectors of curves and the construction and applications of Bézier curves in computer graphics.