Search for media from: "Jesper Kampmann Larsen"

Week 9 Long Day: Linear First-Order Differential Equations part 2

One of the most important mathematical tools available to engineers are differential equation and their solutions. Today we look at first order linear differential equations that you probably know…

From  Jesper Kampmann Larsen on November 6th, 2019 15 plays 0  

Week 9 Long Day: Linear First-Order Differential Equations Part 1

One of the most important mathematical tools available to engineers are differential equation and their solutions. Today we look at first order linear differential equations that you probably know…

From  Jesper Kampmann Larsen on November 6th, 2019 16 plays 0  

Week 8 Short day: Linear Maps

From  Jesper Kampmann Larsen on November 1st, 2019 16 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 23 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 34 plays 0  

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

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 start with these questions and…

From  Jesper Kampmann Larsen on October 9th, 2019 17 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 35 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 48 plays 0  

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 25th, 2019 41 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 18 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 28 plays 0  

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

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 11th, 2019 47 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 11th, 2019 35 plays 0  

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

Today we investigate linear differential equations that contains both the first and second derivative of the unknown function. The coefficients to the unknown function and its derivatives are real…

From  Jesper Kampmann Larsen on December 4th, 2019 9 plays 0  

Week 13, Long Day: Second-Order Differential Equations part 1

Today we investigate linear differential equations that contains both the first and second derivative of the unknown function. The coefficients to the unknown function and its derivatives are real…

From  Jesper Kampmann Larsen on December 4th, 2019 13 plays 0  

Week 12: Systems of Differential Equations part 2

We have already worked with first-order linear differential equations. But what if there are more differential equations, and they are coupled, so they cannot be solved individually? Today we shall…

From  Jesper Kampmann Larsen on November 27th, 2019 28 plays 0