Multiple Integrals: Techniques and Properties

Related lectures (31)

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Introduces the divergence and Stokes' theorems, comparing surface and volume integrals, and explains parameterization of surfaces and boundaries.

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

Covers the concept of Green's functions in Laplace equations and their solution construction process.

Explores Jordan-measurable sets and their properties, including volume calculations and change of variables in integrals.

Covers the Fubini theorem and change of variables in multiple integrals.

Explores changing variables in multiple integrals, with a focus on polar transformations and their applications in calculating areas.

Covers methods for calculating multiple integrals and introduces polar variables.

Explores the finite volume method for numerical flow simulation, emphasizing steady diffusion in heat conduction and linear algebraic equations.

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

Discusses Newton's Second Law in fluid dynamics, focusing on momentum conservation and its applications in engineering problems.