Perspective of a Sphere & a Circle

Explains the parametric equations of surfaces of revolution generated by curves in space.

Explores ellipse construction using the Dandelin theorem and properties of conics in space.

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

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

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