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Today we shall work with a theorem that in many ways can be compared to – and is as fantastic as – Gauss’ Theorem. It is about the tangential curve…
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Today we shall work with a theorem that in many ways can be compared to – and is as fantastic as – Gauss’ Theorem. It is about the tangential curve…
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Today we shall work with a theorem that in many ways can be compared to – and is as fantastic as – Gauss’ Theorem. It is about the tangential curve…
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We have a couple of repetition examples with flux through open surfaces on the agenda today. But otherwise we shall mostly train Gauss’ Divergence Theorem that…
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Given a vector field in space and a surface. How strong is the flux of the vector field through the surface? This question is known from many engineering problems, of…
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Givet et vektorfelt i rummet og en flade. Hvor stærk er strømmen af vektorfeltet gennem fladen? Dette spørgsmål kendes fra utallige…
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Givet et vektorfelt i rummet og en flade. Hvor stærk er strømmen af vektorfeltet gennem fladen? Dette spørgsmål kendes fra utallige…
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Today we refine the investigation of vector fields, in particular gradient vector fields. We shall enjoy some beautiful theorems about tangential curve integrals in…
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We are now entering the second half of our curriculum on integration in more variables. We shall use all we have learned about parametrizations, Jacobi functions and…
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We have integrated along curves (1d), over plane regions and surfaces (2d) and end today by integration of spatial regions, also called…
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We have integrated along curves (1d), over plane regions and surfaces (2d) and end today by integration of spatial regions, also called…
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We continue to work with plane integrals and surface integrals. We focus on two important types of surfaces: Graphs for functions of two variables and surfaces of…
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The videographer was not informed that the streaming would be online and had no Zoom-link. Therefore the beginning of the lecture was not recorded and the rest had to be…
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Whether we have to determine curvilinear integrals, double integrals or triple integrals, we usually end up by having to compute single integrals as you know from…