Coordinate Systems: Cylindrical and Spherical

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Polar Coordinates: Position and Velocity

Explores polar coordinates, position, velocity, and acceleration vectors in Cartesian and polar systems, including cylindrical and spherical coordinates.

Cylindrical and Spherical Coordinates, Rotations

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

Coordinate Change: Polar and Spherical Coordinates

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

Coordinate Systems: Polar and Spherical

Covers polar and spherical coordinate systems, position vectors, equations of motion, and Frenet frame concepts.

Kinematics: Position, Velocity, Acceleration

Covers the fundamental concepts of kinematics, including position, velocity, and acceleration in different coordinate systems.

Coordinate Change: Chapter 4

Explores coordinate changes between polar and Cartesian coordinates, and introduces the spherical coordinate system.

Special Relativity

Covers the main points of special relativity, including symmetries, transformations, 4-vectors, Maxwell equations, and proper time.

Motion Analysis: Cartesian and Polar Coordinates

Covers the analysis of motion using Cartesian and polar coordinates, focusing on kinematics and acceleration components.

Experiments, Spherical Coordinates

Explores cylindrical and spherical coordinates with visual aids and practical experiments.

Inertial Frame: Earth's Reference Systems

Covers Earth's inertial frames, specific forces, and the Vernal Equinox.