Parametric Curves: Limaçon de Pascal

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Explores parametric curves, derivatives, equivalence of paths, and local behavior of functions.

Explores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.

Covers the analysis of parametric curves and their tangent vectors, focusing on applications and geometric interpretations.

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

Covers the concepts of mixed product, cross product, homo coordinates, and general conics.

Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.

Explores the geometry of parametric curves, covering tangent vectors, curvature, and curve smoothing techniques.

Explores parametrized curves in 2D, including segments, straight lines, and circles with trigonometric functions.

Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.

Explores parametric curves like Lissajous and the Folium of Descartes, discussing tangents, periodicity, and symmetry.