Explores the geometry of surfaces in R², including implicit descriptions, critical points, and regular surfaces.
Covers the implicit functions theorem and its applications in defining functions implicitly and differentiating them.
Explores implicit differentiation and the Implicit Function Theorem for finding unique local functions.
Explores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.
Covers the Implicit Function Theorem for functions of two variables and explores graphical representations and tangent lines.
