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Gravity and Barycenter: Definitions and Applications
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Coordinate Systems: Applications and Transformations
Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.
Kinematics: Basics and Coordinates
Introduces the basics of kinematics, covering reference frames, trajectories, and coordinate systems.
Circular Motion: Position and Velocity
Covers circular motion, position, velocity, and acceleration in different coordinates systems, solving related problems.
Advanced Physics I: Kinematics and Coordinate Systems
Explores advanced physics topics like kinematics in 3D, non-Cartesian coordinates, and practical examples of collisions and snowball fights.
Methods of Integrating Functions
Covers methods of integrating functions of several variables and different coordinate systems.
Coordinate Changes: Spherical System
Explores differentiability, coordinate changes, Jacobian determinant, gradient transformation, and chain rule.
Coordinate Systems: Cylindrical and Spherical
Covers cylindrical and spherical coordinate systems and their applications in 3D space.
Spherical Coordinates: Determinant of Jacobi
Covers spherical coordinates and the determinant of Jacobi in linear algebra.
Rotations: Fixed Points and Spherical Coordinates
Covers rotations around fixed points and spherical coordinates, discussing cinematic moments and angular velocity.
Experiments, Spherical Coordinates
Explores cylindrical and spherical coordinates with visual aids and practical experiments.