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01:00:38 Week 6, Long Day: Spatial Fields and Space… Week 6, Long Day: Spatial Fields and Space Integrals part 1	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
48:27 Week 6, Long Day: Spatial Fields and Space… Week 6, Long Day: Spatial Fields and Space Integrals part 2	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 42 plays 0
51:07 Week 5 Long Day - Plane Integrals Part 2 Week 5 Long Day - Plane Integrals Part 2	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
52:18 Week 5 Long Day - Plane Integrals Part 1 Week 5 Long Day - Plane Integrals Part 1	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
43:30 Week 3, Long Day: Maxima and Minima part 2 Week 3, Long Day: Maxima and Minima part 2	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
01:00:51 Week 3, Long Day: Maxima and Minima Part 1 Week 3, Long Day: Maxima and Minima Part 1	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
01:00:06 Week 1, Short Day: More about Functions of Two… Week 1, Short Day: More about Functions of Two Variables	Week 1, Short Day: More about Functions of Two Variables We continue with the study of functions of two variables with their level curves, partial derivatives, gradients , directional derivatives, etc. From the differentiable functions of one variable we… From Jesper Kampmann Larsen on February 7th, 2020 35 plays 0
45:36 Week 13, Long Day: Second-Order Differential… Week 13, Long Day: Second-Order Differential Equations part 2	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 10 plays 0
58:44 Week 13, Long Day: Second-Order Differential… Week 13, Long Day: Second-Order Differential Equations part 1	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
41:36 Week 12: Systems of Differential Equations part 2 Week 12: Systems of Differential Equations part 2	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
01:00:50 Week 12: Systems of Differential Equations part 1 Week 12: Systems of Differential Equations part 1	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
52:37 Week 11: Symmetric Matrices part 2 Week 11: Symmetric Matrices part 2	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
48:29 Week 11: Symmetric Matrices part 1 Week 11: Symmetric Matrices part 1	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
49:26 Week 10 Long Day: Eigenvalues and Eigenvectors… Week 10 Long Day: Eigenvalues and Eigenvectors part 2	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
42:01 Week 10 Long Day: Eigenvalues and Eigenvectors… Week 10 Long Day: Eigenvalues and Eigenvectors part 1	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 18 plays 0
42:40 Week 9 Long Day: Linear First-Order Differential… Week 9 Long Day: Linear First-Order Differential Equations part 2	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