Explores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.
Covers the basics of ray tracing, including ray generation, intersection with geometric shapes, and distance calculations to planes, setting the foundation for implementing a ray tracer.
Explains the parametric equations of surfaces of revolution generated by curves in space.
Explores geodesics on surfaces, focusing on minimizing distances and properties of paths, with examples like great circles on spheres.
Explores the concept of envelope of curves within families of lines, including implicit equations, super-ellipses, and curvature.
