Multiple Integrals: Techniques and Applications

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Related lectures (30)

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Fubini's Theorem and Change of Variables

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

Multiple Integrals: Techniques and Properties

Explores multiple integrals, techniques, properties, and center of gravity calculation in various domains.

Curve Integrals of Vector Fields

Explores curve integrals of vector fields, emphasizing energy considerations for motion against or with wind, and introduces unit tangent and unit normal vectors.

Angle Calculation on Regular Surfaces

Covers the calculation of angles between curves on regular surfaces and the concept of curvilinear abscissa.

Unclosed Curves Integrals

Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.

Multiple Integration: Fubini Theorem and Change of Variables

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

Transforms of the Place

Explores the intuition behind transforms of the place and addresses audience questions on integral calculations and function choices.

Surface Integrals: Parameterization and Regularity

Explains surface integrals, parameterization, and regularity of surfaces.

Multiple Integrals: Techniques and Properties

Covers techniques and properties of multiple integrals, emphasizing the importance of understanding mass distribution.

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