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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42:14

Week 7, Long Day: Vector Spaces part 2

Week 7, Long Day: Vector Spaces part 2

From Jesper Kampmann Larsen on October 21st, 2020

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Today we shall work with general vector spaces. Vector spaces are sets of widely different mathematical objects, that have some decisive properties in common. You should…
54:51

Week 7, Long Day: Vector Spaces part 1

Week 7, Long Day: Vector Spaces part 1

From Jesper Kampmann Larsen on October 21st, 2020

3 plays 0
Today we shall work with general vector spaces. Vector spaces are sets of widely different mathematical objects, that have some decisive properties in common. You should…
01:29:14

Week 6, Short Day: Geometry in the Plane and in…

Week 6, Short Day: Geometry in the Plane and in Space

From Jesper Kampmann Larsen on October 9th, 2020

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Today we continue to manage concepts such as linear combinations, linear independence, basis and coordinates. The day will also cause a repetition of knowledge from…
56:21

Week 6, Long Day: Determinants and Vector…

Week 6, Long Day: Determinants and Vector Geometry (Part 1)

From Jesper Kampmann Larsen on October 7th, 2020

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To every square matrix a special number - called the determinant - is attached. How do you compute this number, and what does the number say about the matrix? Today we…
49:04

Week 6, Long Day: Determinants and Vector…

Week 6, Long Day: Determinants and Vector Geometry (Part 2)

From Jesper Kampmann Larsen on October 7th, 2020

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To every square matrix a special number - called the determinant - is attached. How do you compute this number, and what does the number say about the matrix? Today we…
59:17

Week 5, Short Day: Matrix Algebra

Week 5, Short Day: Matrix Algebra

From Jesper Kampmann Larsen on October 2nd, 2020

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Today we continue with systems of linear equations and matrix algebra. Part of the work is about a special type of matrices, the square matrices, that give rise to…
50:02

Week 5: Long Day: Systems of Linear Equations…

Week 5: Long Day: Systems of Linear Equations (Part 2)

From Jesper Kampmann Larsen on September 30th, 2020

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Today we shall work with systems of equations. The subject is new to most new students. All can follow as long as you know the four elementary arithmetic operations!…
58:38

Week 5: Long Day: Systems of Linear Equations…

Week 5: Long Day: Systems of Linear Equations (Part 1)

From Jesper Kampmann Larsen on September 30th, 2020

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Today we shall work with systems of equations. The subject is new to most new students. All can follow as long as you know the four elementary arithmetic operations!…
02:54

Week 4, Long Day: Taylor’s Formulas - Maple…

Week 4, Long Day: Taylor’s Formulas - Maple Demo

From Jesper Kampmann Larsen on September 23rd, 2020

8 plays 69
In Highschool you have worked with approximating polynomials of first degree (whose graph is the tangent in the development point), but today we introduce approximating…
32:28

Week 4, Long Day: Taylor’s Formulas part 2

Week 4, Long Day: Taylor’s Formulas part 2

From Jesper Kampmann Larsen on September 23rd, 2020

5 plays 69
In Highschool you have worked with approximating polynomials of first degree (whose graph is the tangent in the development point), but today we introduce approximating…
52:44

Week 4, Long Day: Taylor’s Formulas part 1

Week 4, Long Day: Taylor’s Formulas part 1

From Jesper Kampmann Larsen on September 23rd, 2020

8 plays 69
In Highschool you have worked with approximating polynomials of first degree (whose graph is the tangent in the development point), but today we introduce approximating…
01:09:29

Week 3, Short Day: Differentiability

Week 3, Short Day: Differentiability

From Jesper Kampmann Larsen on September 18th, 2020

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In highschool you have probably seen a differentialquotient introduced as the limit of a difference quotient: f′(xo)=f(x)−f(xo)x−xo for…
58:58

Week 3, Long Day: Polynomials - Part 2

Week 3, Long Day: Polynomials - Part 2

From Jesper Kampmann Larsen on September 16th, 2020

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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…
49:26

Week 3, Long Day: Polynomials - Part 1

Week 3, Long Day: Polynomials - Part 1

From Jesper Kampmann Larsen on September 16th, 2020

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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…
01:02:42

Week 2, Short Day: Polar Coordinates and the…

Week 2, Short Day: Polar Coordinates and the Exponential Function

From Jesper Kampmann Larsen on September 11th, 2020

1 plays 0
From highschool you know that the natural exponential function and the natural logarithmic function are inverse to each other. But what are the inverse functions to…
40:20

Week 2, Long Day: Polar coordinates and…

Week 2, Long Day: Polar coordinates and Exponential Form Part 2

From DTU Media Lab on September 9th, 2020

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Just as we were getting familiar with the rectangular form of complex numbers, we are now on the road to a new way of describing and calculating with the numbers, viz.…

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