Multiple Integration: Spherical Coordinates

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Covers graph surfaces with an example of a surface defined by a parametric equation.

Covers coordinate changes, focusing on polar and spherical coordinates and their transformations, determinants, and invertibility.

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

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

Covers the definition of triple integrals, properties, and calculation methods.

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

Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.

Covers spherical coordinates, transformations, and volume calculations in integrals.

Covers the Riemann sphere, focusing on its conditions and correlation functions in mathematical and physical contexts.

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