Algebraic Geometry & Implicit Surfaces

What this topic covers

1. Polynomial rings and ideals
2. Algebraic varieties — the zero sets of polynomials
3. Implicit function theorem
4. 3D implicit surfaces — f(x, y, z) = 0
5. Level sets and how they generate form
6. Singular points and smoothness
7. Rational and algebraic curves
8. Introduction to projective geometry