Cylindrical Coordinates: Continuity and Class C

This lecture covers cylindrical coordinates in R^3, focusing on continuity and class C properties. The slides discuss examples of cylindrical coordinates, continuity restrictions, and bijective functions. The instructor explains the domains in R^2 decimated by Fubini's theorem and the volume of spheres in different coordinate systems. The lecture also delves into the integration domain, strict inequalities, and the primitive of functions. Various examples and mathematical expressions are used to illustrate the concepts.