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Lectures from 01006 Advanced Engineering Mathematics 1 (E18/F19)

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Short Day: 2016 Repetition Part 1

Lecture with Jesper Kampmann Larsen. Kapitler:

Date: 07/12/2018 14:30 - Duration: 01:32:00

720p (513 M)

Second-Order Differential Equations Part 2

Lecture with Jesper Kampmann Larsen. Kapitler: 00:00 - Today We Investigate Linear Differential Equations That Contains Both The First And Second Derivative Of The Unknown Function. The Coefficients T [...]

Date: 05/12/2018 10:45 - Duration: 00:41:04

720p (727 M)

Second-Order Differential Equations Part 1

Lecture with Jesper Kampmann Larsen. Kapitler: 00:00 - Today We Investigate Linear Differential Equations That Contains Both The First And Second Derivative Of The Unknown Function. The Coefficients T [...]

Date: 05/12/2018 09:45 - Duration: 00:54:31

720p (1.0 G)

Systems of Differential Equations Part 2

Lecture with Jesper Kampmann Larsen. Kapitler: 00:00 - We Have Already Worked With First-Order Linear Differential Equations. But What If There Are More Differential Equations, And They Are Coupled, S [...]

Date: 28/11/2018 11:00 - Duration: 00:39:07

720p (801 M)

Systems of Differential Equations Part 1

Lecture with Jesper Kampmann Larsen. Kapitler: 00:00 - We Have Already Worked With First-Order Linear Differential Equations. But What If There Are More Differential Equations, And They Are Coupled, S [...]

Date: 28/11/2018 09:45 - Duration: 01:04:13

720p (1.3 G)

Short Day: Diagonalization by Orthogonal Substitution

Lecture with Jesper Kampmann Larsen. Kapitler:

Date: 23/11/2018 13:30 - Duration: 00:44:28

720p (690 M)

Symmetric Matrices Part 2

Lecture with Jesper Kampmann Larsen. Kapitler: 00:00 - 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 [...]

Date: 21/11/2018 10:45 - Duration: 00:47:40

720p (855 M)

Symmetric Matrices Part 1

Lecture with Jesper Kampmann Larsen. Kapitler: 00:00 - 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 [...]

Date: 21/11/2018 09:30 - Duration: 00:50:36

720p (0.9 G)

Short Day: Diagonalization by Similarity Transform Part 1

Lecture with Jesper Kampmann Larsen. Kapitler:

Date: 16/11/2018 13:45 - Duration: 00:56:05

720p (1.2 G)

Short Day: Diagonalization by Similarity Transform Part 1

Lecture with Jesper Kampmann Larsen. Kapitler:

Date: 16/11/2018 13:45 - Duration: 00:56:05

720p (1.2 G)

Long Day: Eigenvalues and Eigenvectors Part 2

Lecture with Jesper Kampmann Larsen. Kapitler: 00:00 - 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 Differen [...]

Date: 14/11/2018 10:45 - Duration: 00:45:39

720p (754 M)

Eigenvalues and Eigenvectors Part 1

Lecture with Jesper Kampmann Larsen. Kapitler: 00:00 - 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 Differen [...]

Date: 14/11/2018 09:45 - Duration: 00:40:58

720p (714 M)

Linear First-Order Differential Equations Part 2

Lecture with Jesper Kampmann Larsen. Kapitler: 00:00 - One Of The Most Important Mathematical Tools Available To Engineers Are Differential Equation And Their Solutions. Today We Look At First Order L [...]

Date: 07/11/2018 11:00 - Duration: 00:45:16

720p (0.9 G)

Linear First-Order Differential Equations Part 1

Lecture with Jesper Kampmann Larsen. Kapitler: 00:00 - One Of The Most Important Mathematical Tools Available To Engineers Are Differential Equation And Their Solutions. Today We Look At First Order L [...]

Date: 07/11/2018 09:45 - Duration: 00:59:03

720p (1.2 G)

Mapping Matrices and Change of Base

Lecture with Jesper Kampmann Larsen. Kapitler:

Date: 02/11/2018 14:00 - Duration: 00:56:39

720p (278 M)

Mapping Matrices and Change of Base

Lecture with Jesper Kampmann Larsen. Kapitler:

Date: 02/11/2018 14:00 - Duration:

720p

Linear Transformations Part 2

Lecture with Jesper Kampmann Larsen. Kapitler: 00:00 - From Highschool You Know Elementary Functions Y=F(X) That To Every Real Number X Attaches A Real Number Y. Todays Subject Is Linear Transformatio [...]

Date: 31/10/2018 12:00 - Duration: 00:43:47

720p (298 M)

Linear Transformations Part 1

Lecture with Jesper Kampmann Larsen. Kapitler: 00:00 - Linear Transformations;

Date: 31/10/2018 11:00 - Duration: 01:02:16

720p (1.1 G)

Vector Spaces Part 2

Lecture with Jesper Kampmann Larsen. Kapitler: 00:00 - Due To Technical Problems, There Is No Part 1. Today We Shall Work With General Vector Spaces. Vector Spaces Are Sets Of Widely Different Mathema [...]

Date: 24/10/2018 11:45 - Duration: 00:28:23

720p (505 M)

Geometry in the Plane and in Space

Lecture with Jesper Kampmann Larsen. Kapitler:

Date: 12/10/2018 14:00 - Duration: 01:04:28

720p (1.1 G)

Determinants and Vector Geometry Part 2

Lecture with Jesper Kampmann Larsen. Kapitler: 00:00 - To Every Square Matrix A Special Number - Called The Determinant - Is Attached. How Do You Compute This Number, And What Does The Number Say Abou [...]

Date: 10/10/2018 11:00 - Duration: 00:52:43

720p (1.1 G)

Determinants and Vector Geometry Part 1

Lecture with Jesper Kampmann Larsen. Kapitler: 00:00 - To Every Square Matrix A Special Number - Called The Determinant - Is Attached. How Do You Compute This Number, And What Does The Number Say Abou [...]

Date: 10/10/2018 09:30 - Duration: 00:53:33

720p (1.0 G)

Matrix Algebra

Lecture with Jesper Kampmann Larsen. Kapitler: 00:00 - 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, [...]

Date: 05/10/2018 13:00 - Duration: 01:04:44

720p (0.9 G)

Systems of Linear Equations Part 2

Lecture with Jesper Kampmann Larsen. Kapitler: 00:00 - 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 Ar [...]

Date: 03/10/2018 11:00 - Duration: 00:35:56

720p (672 M)

Systems of Linear Equations Part 1

Lecture with Jesper Kampmann Larsen. Kapitler: 00:00 - 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 Ar [...]

Date: 03/10/2018 09:30 - Duration: 01:00:58

720p (1.2 G)

Taylors Formulas Part 2

Lecture with Jesper Kampmann Larsen. Kapitler: 00:00 - In Highschool You Have Worked With Approximating Polynomials Of First Degree (Whose Graph Is The Tangent In The Development Point), But Today We [...]

Date: 26/09/2018 11:00 - Duration: 00:45:10

720p (586 M)

Taylors Formulas Part 1

Lecture with Jesper Kampmann Larsen. Kapitler: 00:00 - In Highschool You Have Worked With Approximating Polynomials Of First Degree (Whose Graph Is The Tangent In The Development Point), But Today We [...]

Date: 26/09/2018 10:00 - Duration: 01:03:34

720p (0.9 G)

Week 3, Short Day: Differentiability

Today we introduce alternatively differentiability by use of epsilon functions, because we shall later need this when we generalize differentiability to to functions of more variables. As a preview we [...]

Date: 21/09/2018 14:00 - Duration: 00:58:58

720p (1.3 G)

Polynomials Part 2

Lecture with Jesper Kampmann Larsen. 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 Ma [...]

Date: 19/09/2018 11:00 - Duration: 00:49:31

720p (820 M)

Polynomials Part 1

Lecture with Jesper Kampmann Larsen. 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 Ma [...]

Date: 19/09/2018 10:00 - Duration: 00:48:35

720p (754 M)

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

From highschool you know that the natural exponential function the natural logarithmic function are inverse to each other. But what are the inverse functions to cosine and sine, and are you aware that [...]

Date: 14/09/2018 14:00 - Duration: 01:02:05

720p (1.4 G)

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 And [...]

Date: 12/09/2018 10:45 - Duration: 00:45:07

720p (762 M)

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 And [...]

Date: 12/09/2018 09:45 - Duration: 00:56:54

720p (1.0 G)

Computations with Real and Complex Numbers

Today we shall explore the computational rules for real numbers that you already know from high school. It is about repeating the rules and then looking at how they unfold on the larger set of complex [...]

Date: 07/09/2018 14:00 - Duration: 01:01:13

720p (1.4 G)

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 par [...]

Date: 05/09/2018 10:45 - Duration: 00:43:04

720p (0.9 G)

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 par [...]

Date: 05/09/2018 10:00 - Duration: 00:48:47

720p (0.9 G)

Total duration: 30:43:10