Coordinate Change: Chapter 4

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Covers coordinate changes, focusing on polar and spherical coordinates and their transformations, determinants, and invertibility.

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

Explores differentiability and coordinate transformations between polar and spherical systems.

Covers cylindrical and spherical coordinates, transformations between coordinate systems, and rotations in physics.

Explores rotating vectors in physics, emphasizing the norm-angular speed relationship and various coordinate systems.

Explores advanced physics topics like kinematics in 3D, non-Cartesian coordinates, and practical examples of collisions and snowball fights.

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.

Covers mechanics concepts in different coordinate systems, explaining position, velocity, and acceleration vectors.

Covers tensor analysis for arbitrary coordinate systems and introduces Christoffel symbols.

Explores circular motion, friction, and Newton's laws in various coordinate systems.