Coordinate Changes: Definitions and Laplacian

Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.

Explores changing variables in multiple integrals, with a focus on polar transformations and their applications in calculating areas.

Covers the definition and use of coordinate systems and applications in bases and linear equations.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Covers examples of coordinate transformations, focusing on polar and spherical coordinates.