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Leibniz integral rule
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Vector analysis
Related lectures (28)
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Surface Integrals: Change of Variables
Explores surface integrals, change of variables, and properties of regular surfaces.
Gauss Theorem in R^n+1
Explores the Gauss theorem in R^n+1, covering regular domains, vector fields, surface integrals, and volume calculations.
Surface Integrals: Parameterization and Divergence Theorem
Explores surface integrals using parameterization and the divergence theorem, with practical examples included.
Surface Integrals, Divergence Theorem and Stocks' Theorem
Covers surface integrals, the divergence theorem, and Stocks' theorem through examples and analogies.
Conduction Heat Transfer: Formulations and Theorems
Explores the strong and integral formulations of conduction heat transfer in 2D media, along with weak formulations and boundary conditions.
Polar Coordinates: Line Integral
Explores line integrals in polar coordinates with practical examples.
Green's Theorem: Applications
Covers the application of Green's Theorem in analyzing vector fields and calculating line integrals.
Vectors and Tensors: Derivatives and Transformations
Explores gradient, divergence, and integral theorems in vector calculus.
Vector Calculus: Green's Theorem
Explores Green's theorem, vector field curl, Ampère's law, and magnetic field modeling.
Geometric Meaning of Line Integrals
Explores the geometric interpretation of line integrals in altimetric profiles of cycling stages.