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Lecture
Change of Variables Formula
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Related lectures (31)
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Coordinate Systems: Polar and Cylindrical
Explores position, velocity, and acceleration in polar and cylindrical coordinate systems, simplifying complex formulas for motion analysis.
Gravity and Barycenter: Definitions and Applications
Explores the definitions and properties of gravity and barycenter, including bounded regions and coordinate transformations.
Speed in Cylindrical and Spherical Coordinates
Covers the concept of speed projected on cylindrical and spherical coordinate systems and the time derivative of unit vectors.
Coordinate Changes: Spherical System
Explores differentiability, coordinate changes, Jacobian determinant, gradient transformation, and chain rule.
Coordinate Change: Chapter 4
Explores coordinate changes between polar and Cartesian coordinates, and introduces the spherical coordinate system.
Inertial Frame: Earth's Reference Systems
Covers Earth's inertial frames, specific forces, and the Vernal Equinox.
Cylindrical and Spherical Coordinates
Covers cylindrical and spherical coordinates as alternatives to Cartesian coordinates, focusing on their definitions, coordinate lines, and vector projections.
Rotations: Fixed Points and Spherical Coordinates
Covers rotations around fixed points and spherical coordinates, discussing cinematic moments and angular velocity.
Circular Motion: Acceleration
Covers conceptual questions on circular motion and acceleration, including velocity vectors and acceleration directions.
Coordinate Systems: Transformations and Applications
Covers the transformation and application of coordinate systems, focusing on cylindrical coordinates and Jacobian matrix.
