Search for media from: "Jesper Kampmann Larsen"

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 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 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  

Linear Equations and Matrices Week 5 Short day

From  Jesper Kampmann Larsen on October 4th, 2019 16 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 21 plays 0  

Determinants and Vectors - Week 6 Short Day

From  Jesper Kampmann Larsen on October 11th, 2019 74 plays 0  

Week 8 Short day: Linear Maps

From  Jesper Kampmann Larsen on November 1st, 2019 16 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 17 plays 0  

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 10 Long Day: Eigenvalues and Eigenvectors part 1

When you investigate a linear map f:V→V of a vector space into itself a special question arises: Is there proper vectors (i.e. vectors different from the zero-vector), whose image vector is…

From  Jesper Kampmann Larsen on November 13th, 2019 19 plays 0  

Week 10 Long Day: Eigenvalues and Eigenvectors part 2

When you investigate a linear map f:V→V of a vector space into itself a special question arises: Is there proper vectors (i.e. vectors different from the zero-vector), whose image vector is…

From  Jesper Kampmann Larsen on November 13th, 2019 11 plays 0  

Week 11: Symmetric Matrices part 2

The starting point for talking about orthogonal vectors in Rn and orthogonal matrices in Rn×n is the scalar product, popularly known as the dot product. This gives us the opportunity to…

From  Jesper Kampmann Larsen on November 20th, 2019 20 plays 0  

Week 11: Symmetric Matrices part 1

The starting point for talking about orthogonal vectors in Rn and orthogonal matrices in Rn×n is the scalar product, popularly known as the dot product. This gives us the opportunity to…

From  Jesper Kampmann Larsen on November 20th, 2019 23 plays 0  

Week 12: Systems of Differential Equations part 1

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 34 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  

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 15 plays 0