Parametric Curves: Lissajous and Folium

Related lectures (31)

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Covers parametric curves, including examples, symmetry, tangent vectors, and derivative signs.

Explores asymptotes in parametric curves, symmetries, tangent vectors, and qualitative studies near stationary points.

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

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

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

Covers implicit curves, regular and critical points, convexity, concavity, and inflection points.

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

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

Explores curves, isometries, Bezier curves, and the Frenet coordinate system.

Introduces parametric curves and discusses tangent vectors and symmetry properties.