Spherical Coordinates: Integration and Change of Variables

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Covers multiple integrals, change of variables to polar coordinates, and area calculations.

Covers the integration of functions of multiple variables using cylindrical and spherical coordinates.

Explores surface integrals, change of variables, and properties of regular surfaces.

Covers methods of integrating functions of several variables and different coordinate systems.

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

Explores center of mass calculation in mechanics, emphasizing system symmetry and spherical coordinates for simplifying calculations.

Explores circular motion, friction, and Newton's laws in various coordinate systems.

Explains multiple integration using spherical coordinates to calculate volumes of spheres and ellipsoids.

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

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