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

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 polynomials of higher degree.…

From  Jesper Kampmann Larsen on September 23rd, 2020 0 plays 69  

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

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 polynomials of higher degree.…

From  Jesper Kampmann Larsen on September 23rd, 2020 0 plays 69  

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

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 polynomials of higher degree.…

From  Jesper Kampmann Larsen on September 23rd, 2020 0 plays 69  

Week 3, Short Day: Differentiability

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 x→xo. Today we introduce alternatively…

From  Jesper Kampmann Larsen on September 18th, 2020 0 plays 0  

Week 3, Long Day: Polynomials - Part 2

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 roots different polynomials have?…

From  Jesper Kampmann Larsen on September 16th, 2020 0 plays 0  

Week 3, Long Day: Polynomials - Part 1

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 roots different polynomials have?…

From  Jesper Kampmann Larsen on September 16th, 2020 0 plays 0  

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

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 cosine and sine, and are you aware…

From  Jesper Kampmann Larsen on September 11th, 2020 0 plays 0  

Week 2, Long Day: Polar coordinates and Exponential Form Part 1

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. with their polar coordinates…

From  Jesper Kampmann Larsen on September 9th, 2020 0 plays 44  

Week 1: Long Day Complex Numbers on Rectangular Form (Part 2)

The first semester of Advanced Engineering Mathematics 1 is a coherent course in linear algebra and linear differential equations. Complex numbers and elementary complex functions are an important…

From  Jesper Kampmann Larsen on September 2nd, 2020 0 plays 0  

Week 1: Long Day Complex Numbers on Rectangular Form (Part 1)

The first semester of Advanced Engineering Mathematics 1 is a coherent course in linear algebra and linear differential equations. Complex numbers and elementary complex functions are an important…

From  Jesper Kampmann Larsen on September 2nd, 2020 0 plays 0  

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

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 we shall look at…

From  Jesper Kampmann Larsen on March 9th, 2020 41 plays 0  

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

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 we shall look at…

From  Jesper Kampmann Larsen on March 9th, 2020 43 plays 0  

Week 5 Long Day - Plane Integrals Part 2

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 applications of integration.…

From  Jesper Kampmann Larsen on March 2nd, 2020 40 plays 0  

Week 5 Long Day - Plane Integrals Part 1

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 applications of integration.…

From  Jesper Kampmann Larsen on March 2nd, 2020 59 plays 0  

Week 3, Long Day: Maxima and Minima part 2

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 short we shall optimize. There is…

From  Jesper Kampmann Larsen on February 17th, 2020 28 plays 0  

Week 3, Long Day: Maxima and Minima Part 1

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 short we shall optimize. There is…

From  Jesper Kampmann Larsen on February 17th, 2020 39 plays 0