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Lecture
Surface Integrals: Orientation and Computation
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Green's Theorem: Surface Integrals
Explores Green's Theorem applied to surface integrals, emphasizing regular surfaces and coordinate transformations.
Green's Functions in Laplace Equations
Covers the concept of Green's functions in Laplace equations and their solution construction process.
Surface Integrals: Parameterization and Regularity
Explains surface integrals, parameterization, and regularity of surfaces.
Mathematics: Cylinders and Parametrizations
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Surface Integrals: Vector Fields
Explains the surface integral for vector fields and demonstrates its calculation process through examples.
Improper Integrals: Convergence and Comparison
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Covers the definition and applications of generalized integrals in advanced analysis, including real functions, differential equations, and multiple integrals.
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Covers the concept of line integrals and their application in vector fields.