Integration and Transformations

Related lectures (32)

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

Covers examples of coordinate transformations, focusing on polar and spherical coordinates.

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

Explains surface integrals, parameterization, and regularity of surfaces.

Clarifies the use of Jacobian, normal vectors in surfaces, and arccos(z) constraints.

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

Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.

Explores line integrals in polar coordinates with practical examples.

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.

Covers the application of calculus in polar coordinates, including examples of domains defined by level curves.