Parametric Curves: Lissajous and Folium

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.