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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 ”solids” (3d). Again…
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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 ”solids” (3d). Again…
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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… -
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…
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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…
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From Thomas Lunøe Holmboe
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… -
From DTU Media Lab
Week 4: Long Day: The Riemann Integral and Its Use on Curves Today we start on the last main subject in the Math 1 curriculum: Integration in more variables, that… -
From DTU Media Lab
Week 4: Long Day: The Riemann Integral and Its Use on Curves Today we start on the last main subject in the Math 1 curriculum: Integration in more variables, that… -
Today must be considered as a preliminary clou in the spring curriculum! We shall find minimum og maximum for functions of more variables, both local and global. In…
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Today must be considered as a preliminary clou in the spring curriculum! We shall find minimum og maximum for functions of more variables, both local and global. In…
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From DTU Media Lab
A quadratic equation in two variables represents a conic section whose main forms are ellipses, hyperbolas and parabolas. Thus today’s exercise is in a short form… -
From DTU Media Lab
We take a brief review of Taylor’s formulas for functions of one variable, and then we continue with Taylor for more variables. First we make some approximations… -
We continue with the study of functions of two variables with their level curves, partial derivatives, gradients , directional derivatives, etc. From the differentiable…
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From DTU Media Lab
In the spring we shall work with functions that depend on two (or more) variables. This week we investigate how we can transfer concepts like continuity and… -
From DTU Media Lab
In the spring we shall work with functions that depend on two (or more) variables. This week we investigate how we can transfer concepts like continuity and… -
Today we investigate linear differential equations that contains both the first and second derivative of the unknown function. The coefficients to the unknown function…