01006 Advanced Engineering Mathematics 1

01006 is the English version of the corresponding Danish course 01005 and is an obligatory two-semester course for all Civil Engineering students.

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48:27

Week 6, Long Day: Spatial Fields and Space…

Week 6, Long Day: Spatial Fields and Space Integrals part 2

From Jesper Kampmann Larsen on March 9th, 2020

23 plays 0
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…
01:00:38

Week 6, Long Day: Spatial Fields and Space…

Week 6, Long Day: Spatial Fields and Space Integrals part 1

From Jesper Kampmann Larsen on March 9th, 2020

34 plays 0
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…
59:48

Week 5, Short Day: Particular Surfaces in Space

Week 5, Short Day: Particular Surfaces in Space

From DTU Media Lab on March 6th, 2020

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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…
51:07

Week 5 Long Day - Plane Integrals Part 2

Week 5 Long Day - Plane Integrals Part 2

From Jesper Kampmann Larsen on March 2nd, 2020

35 plays 0
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…
52:18

Week 5 Long Day - Plane Integrals Part 1

Week 5 Long Day - Plane Integrals Part 1

From Jesper Kampmann Larsen on March 2nd, 2020

48 plays 0
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…
01:02:21

Week 4, Short Day: Integration Techniques

Week 4, Short Day: Integration Techniques

From Thomas Lunøe Holmboe on February 28th, 2020

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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…
48:11

Week 4: Long Day: The Riemann Integral and Its…

Week 4: Long Day: The Riemann Integral and Its Use on Curves (Part 2) (From 2019)

From DTU Media Lab on February 28th, 2020

6 plays 0
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…
51:33

Week 4: Long Day: The Riemann Integral and Its…

Week 4: Long Day: The Riemann Integral and Its Use on Curves (Part 1) (From 2019)

From DTU Media Lab on February 28th, 2020

14 plays 0
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…
43:30

Week 3, Long Day: Maxima and Minima part 2

Week 3, Long Day: Maxima and Minima part 2

From Jesper Kampmann Larsen on February 17th, 2020

18 plays 0
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…
01:00:51

Week 3, Long Day: Maxima and Minima Part 1

Week 3, Long Day: Maxima and Minima Part 1

From Jesper Kampmann Larsen on February 17th, 2020

28 plays 0
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…
59:18

Week 2, Short Day: Conic Sections

Week 2, Short Day: Conic Sections

From DTU Media Lab on February 14th, 2020

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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…
01:35:36

Week 2, Long Day: Taylor’s Formulas

Week 2, Long Day: Taylor’s Formulas

From DTU Media Lab on February 10th, 2020

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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…
01:00:06

Week 1, Short Day: More about Functions of Two…

Week 1, Short Day: More about Functions of Two Variables

From Jesper Kampmann Larsen on February 7th, 2020

32 plays 0
We continue with the study of functions of two variables with their level curves, partial derivatives, gradients , directional derivatives, etc. From the differentiable…
50:59

Week 1, Long Day: Functions of Two Variables Part…

Week 1, Long Day: Functions of Two Variables Part 1

From DTU Media Lab on February 3rd, 2020

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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…
44:50

Week 1, Long day: Functions of Two Variables Part…

Week 1, Long day: Functions of Two Variables Part 2

From DTU Media Lab on February 3rd, 2020

23 plays 0
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…
45:36

Week 13, Long Day: Second-Order Differential…

Week 13, Long Day: Second-Order Differential Equations part 2

From Jesper Kampmann Larsen on December 4th, 2019

9 plays 0
Today we investigate linear differential equations that contains both the first and second derivative of the unknown function. The coefficients to the unknown function…

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