Coordinate Changes: Spherical System

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Coordinate Change: Chapter 4

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

Rotating Vectors in Physics 1

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

Polar Coordinates: Position and Velocity

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

Physics 1: Harmonic Oscillator and Spherical Coordinates

Explores harmonic oscillators, pendulum movement, and spherical coordinates in physics.

Coordinate Systems: Applications and Transformations

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

Cylindrical and Spherical Coordinates, Rotations

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

Coordinate Systems: Polar and Spherical

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

Differentiability and Partial Derivatives

Explores differentiability in two variables and the chain rule for compositions.

Laplacian in Polar and Spherical Coordinates: Derivatives

Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.

Derivability and Composition

Covers derivability conditions, function composition, Jacobian matrix, and chain derivation.