Coordinate Change: Polar and Spherical Coordinates

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Page 3 of 4

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

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

Covers the calculation of definite integrals and different coordinate systems.

Covers spherical coordinates and the determinant of Jacobi in linear algebra.

Covers the transformation and application of coordinate systems, focusing on cylindrical coordinates and Jacobian matrix.

Covers the basics of polar coordinates and their application in kinematics.

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

Explores examples of applying the change of variable formula to simplify integrals over different regions.

Introduces reference frames, coordinates, point mass, trajectory, velocity, acceleration, and motion with constant acceleration.

Explores coordinate vector operations, from digitizing points to transforming and manipulating geometric spaces using coordinates.