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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01:04:30

Week 5 - Short Day: Matrices

Week 5 - Short Day: Matrices

From DTU Media Lab on September 30th, 2022

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Today we will continue with systems of linear equations and in particular matrix algebra. Parts of today’s work concerns a special case of a matrix called a square…
02:02:52

Week 5 - Long Day: Systems of Linear Equations

Week 5 - Long Day: Systems of Linear Equations

From Steeven Hegelund Spangsdorf on September 28th, 2022

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Today we will be working with systems of equations. We are already more than capable of solving single linear equations, but systems of them can quickly be a time…
02:03:26

Week 4 - Long Day: Taylor’s Formulas

Week 4 - Long Day: Taylor’s Formulas

From Steeven Hegelund Spangsdorf on September 21st, 2022

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In highschool you have - maybe without realising it - worked with the approximating polynomial of the first degree. Its graph is a straight line which is the tangent to…
01:02:40

Week 3 - Short Day: Polynomials

Week 3 - Short Day: Polynomials

From Georgi Yankov on September 16th, 2022

105 plays 0
Polynomials are central to complex numbers. It all started with polynomials. Why do certain polynomials have roots, and which rules apply to the question of how many…
02:00:38

Week 3 - Long Day: Polynomials

Week 3 - Long Day: Polynomials

From Steeven Hegelund Spangsdorf on September 14th, 2022

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Polynomials are central to complex numbers. It all started with polynomials. Why do certain polynomials have roots, and which rules apply to the question of how many…
01:01:33

Week 2 - Short Day: Polar coordinates and…

Week 2 - Short Day: Polar coordinates and Exponential Form

From DTU Media Lab on September 9th, 2022

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Just as we are getting familiar with the rectangular form of complex numbers we will now introduce yet another way of describing and performing calculations with complex…
02:03:34

Week 2 - Long Day: Polar coordinates and…

Week 2 - Long Day: Polar coordinates and Exponential Form

From Steeven Hegelund Spangsdorf on September 7th, 2022

166 plays 196
Just as we are getting familiar with the rectangular form of complex numbers we will now introduce yet another way of describing and performing calculations with complex…
01:03:15

Week 1 - Short Day: Complex Numbers in…

Week 1 - Short Day: Complex Numbers in Rectangular Form

From Steeven Hegelund Spangsdorf on September 2nd, 2022

48 plays 0
The first semester of Advanced Engineering Mathematics 1 is a coherent course in linear algebra and linear differential equations. Complex numbers and elementary complex…
02:04:46

Week 1 - Long Day: Complex Numbers in Rectangular…

Week 1 - Long Day: Complex Numbers in Rectangular Form

From Steeven Hegelund Spangsdorf on August 31st, 2022

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The first semester of Advanced Engineering Mathematics 1 is a coherent course in linear algebra and linear differential equations. Complex numbers and elementary complex…
28:56

Week 9, Long Day: Stokes’ Theorem and…

Week 9, Long Day: Stokes’ Theorem and Potentials Part 3

From Steeven Hegelund Spangsdorf on March 30th, 2022

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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…
25:38

Week 9, Long Day: Stokes’ Theorem and…

Week 9, Long Day: Stokes’ Theorem and Potentials Part 2

From Steeven Hegelund Spangsdorf on March 30th, 2022

34 plays 0
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…
47:11

Week 9, Long Day: Stokes’ Theorem and…

Week 9, Long Day: Stokes’ Theorem and Potentials Part 1

From Steeven Hegelund Spangsdorf on March 30th, 2022

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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…
58:51

Week 8, Short Day: More about Gauss’…

Week 8, Short Day: More about Gauss’ Divergence Theorem

From Steeven Hegelund Spangsdorf on March 25th, 2022

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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…
24:52

Week 8, Long Day: Flux and Gauss’…

Week 8, Long Day: Flux and Gauss’ Divergence Theorem Part 3

From Steeven Hegelund Spangsdorf on March 25th, 2022

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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…
37:52

Week 8, Long Day: Flux and Gauss’…

Week 8, Long Day: Flux and Gauss’ Divergence Theorem Part 2

From Steeven Hegelund Spangsdorf on March 23rd, 2022

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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…
37:22

Week 8, Long Day: Flux and Gauss’…

Week 8, Long Day: Flux and Gauss’ Divergence Theorem Part 1

From Steeven Hegelund Spangsdorf on March 23rd, 2022

41 plays 0
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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