List questions from vector-analysis

Published on 12 Apr 2026 - 5:08

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Compute line integral and prove statement about simply connected space of set

Published on 14 Apr 2026 - 15:39

116

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Show the following equality for gradient:

Published on 14 Apr 2026 - 17:07

51

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Calculating the flux of this integral

Published on 14 Apr 2026 - 18:57

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Remembering the Outward-Pointing Normal Vector

Published on 16 Apr 2026 - 13:34

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How to find outward-pointing normal vector for surface flux problems? Example problem included.

Published on 11 Apr 2026 - 2:23

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Geometric forms of Line and Flux Integral

Published on 14 Apr 2026 - 22:57

398

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If $f'(a)$ is injective, then there is an open set $V$ where $f$ is injective

Published on 10 Apr 2026 - 22:42

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Showing that $\Phi=\frac1{4\pi\epsilon_0}\int_{r>a}\frac{\rho_1(\mathbf{x})}r\operatorname{dV}$ for potential $\Phi$ and density $\rho_1$

Published on 17 Apr 2026 - 13:57

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How to remember laplacian in polar and (hyper)spherical coordinates

Published on 13 Apr 2026 - 18:56

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Surface integral of an paraboloid cut by a plane.

Published on 15 Apr 2026 - 9:29

47

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Which is the vector calculus property used here?

Published on 16 Apr 2026 - 7:52

416

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Doubts on Green's Theorem

Published on 13 Apr 2026 - 5:55

40

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Gradient computation, result verification

Published on 16 Apr 2026 - 7:55

160

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Calculate $\int\limits_{\Omega} \nabla \cdot F \,\mathrm dx$

Published on 16 Apr 2026 - 1:23

List Question

Translations on a general manifold

Compute line integral and prove statement about simply connected space of set

Show the following equality for gradient:

Calculating the flux of this integral

Remembering the Outward-Pointing Normal Vector

How to find outward-pointing normal vector for surface flux problems? Example problem included.

Geometric forms of Line and Flux Integral

If $f'(a)$ is injective, then there is an open set $V$ where $f$ is injective

Showing that $\Phi=\frac1{4\pi\epsilon_0}\int_{r>a}\frac{\rho_1(\mathbf{x})}r\operatorname{dV}$ for potential $\Phi$ and density $\rho_1$

How to remember laplacian in polar and (hyper)spherical coordinates

Surface integral of an paraboloid cut by a plane.

Which is the vector calculus property used here?

Doubts on Green's Theorem

Gradient computation, result verification

Calculate $\int\limits_{\Omega} \nabla \cdot F \,\mathrm dx$

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