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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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From DTU Media Lab
We are about to finish the spring curriculum, and only lack Stokes’ Theorem, that is on the agenda for Long Day next week. We use this day for repetition and have… -
From DTU Media Lab
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… -
From DTU Media Lab
Given a vector field in space and a surface. How strong is the flux of the vector fields through the surface? This question is known from many engineering problems, of… -
From DTU Media Lab
Given a vector field in space and a surface. How strong is the flux of the vector fields through the surface? This question is known from many engineering problems, of… -
From DTU Media Lab
Today we refine the investigation of vector fields, in particular gradient vector fields. We shall enjoy some beautiful theorems about tangential curve integrals in… -
From DTU Media Lab
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… -
From DTU Media Lab
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… -
From DTU Media Lab
We have integrated along curves (1d), over plane regions and surfaces (2d) and end today by integration of spatial regions, also called ”solids” (3d). Again… -
From DTU Media Lab
We have integrated along curves (1d), over plane regions and surfaces (2d) and end today by integration of spatial regions, also called ”solids” (3d). Again… -
From DTU Media Lab
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… -
From DTU Media Lab
You have most likely in highschool seen that integrals can be used for the computations of areas and volumes; but these are only a few of the many interpretations and… -
From DTU Media Lab
You have most likely in highschool seen that integrals can be used for the computations of areas and volumes; but these are only a few of the many interpretations and… -
From DTU Media Lab
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…