Polar Coordinates: Calculus Applications

Related lectures (28)

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Covers curvilinear coordinates and area calculations using double integrals with examples of different curves.

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

Covers the calculation of definite integrals and different coordinate systems.

Explores line integrals in polar coordinates with practical examples.

Covers Fubini's theorem, change of variables, and area calculations in multiple integrals.

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

Explores Jordan-measurable functions and double integrals for volume calculations in 3D space.

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

Covers Green's Theorem, transforming 2D integrals into 1D line integrals.

Covers mechanics concepts in different coordinate systems, explaining position, velocity, and acceleration vectors.