Electromagnetic Tutorials part 1 with MATLAB & GeoGebra

Name: Electromagnetic Tutorials part 1 with MATLAB & GeoGebra
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Vector algebra with MATLAB

Last updated 5/2019

English

English [Auto],

What you'll learn

6 sections • 22 lectures • 2h 46m total length

Magnitude of a Vector & its Unit Vector MATLAB & GeoGebra4:32
Explore constructing vectors from coordinates and determining their magnitudes and unit vectors in MATLAB and GeoGebra. Learn to normalize directions and apply these concepts to practical vector problems.
Magnitude of a Vector & its Unit Vector3:40
Discover how to compute the magnitude of a vector from its components. Define the unit vector by dividing the vector by its magnitude and understand the vector's direction.
Addition and Subtraction of Vectors3:34
Learn to add and subtract vectors by combining their x and y components, perform scalar multiplication, and determine the resulting vector length within electromagnetic tutorials using MATLAB and GeoGebra.
Addition and Subtraction of Vectors MATLAB & GeoGebra6:21
Explore vector addition and subtraction using MATLAB and GeoGebra, illustrating component-wise operations and scalar multiplication, with examples of combining vectors A and B and analyzing directions.
Distance Between Two Points5:35
Compute the distance between two points by forming the vector difference q minus b and taking its magnitude using the x and y components.
Distance Between Two Points MATLAB & GeoGebra3:44
Compute the distance between two points in space using vectors and the distance formula, with demonstrations in MATLAB and GeoGebra.

Dot Product 1st application ( angle betweent 2 vectors )5:46
Explore the dot product of vectors, compute A·B from components, compare with |A||B| cos theta, and determine the angle between two vectors A and B.
Dot Product 1st application ( angle betweent 2 vectors ) MATLAB & GeoGebra4:28
Apply the dot product to compute the angle between two vectors with the cosine formula, using their magnitudes in MATLAB and GeoGebra.
Dot Product 2nd application ( vector projection )6:12
Learn to compute the vector projection of a onto b and its component along b using the dot product and magnitude.
Dot Product 2nd application ( vector projection ) MATLAB & GeoGebra7:47
Compute the vector projection of a onto b using dot products, and decompose a into tangent component along b and a component perpendicular to b, with MATLAB and GeoGebra.
Dot Product 3rd application (are the points liying on a stright line )8:03
Use vectors between points and the dot product to test collinearity; if the angle is zero (cosine equals one), points lie on the same line.
Dot Product & its 3rd Application MATLAB & GeoGebra5:52
Use dot product to determine if vectors lie on the same line by checking if the angle is zero, and apply this idea with MATLAB and GeoGebra.

Cross Product12:00
calculate the cross product of vectors a and b using determinants to obtain a vector normal to both, with magnitude and orientation determined by the angle between them.
Cross Product MATLAB & GeoGebra5:51
Explore cross products in MATLAB and GeoGebra by computing the cross product of vectors A and B and using its magnitude to find the area of the parallelogram.
Scalar & Vector Triple Product8:18
Compute the scalar triple product a · (b × c) to obtain the volume of the parallelepiped formed by vectors a, b, and c, and take its absolute value.
Scalar & Vector Triple Product MATLAB & GeoGebra7:22
Explore scalar and vector triple products in 3D using MATLAB and GeoGebra, applying a · (b × c) and a × (b × c) to determine the parallelepiped volume.

EX 01-02 Basics of Vectors13:51
Addition and Subtraction of Vectors, Magnitude and Unit Vector
Ex 03 Distance Between Two Points13:06
Compute the distance between two points using coordinates, derive the distance vector from t to s in the same direction as the reference position vector, and determine its magnitude.
Ex 04-05 Dot Products17:45
Explore how to compute the angle between vectors using dot products, magnitudes, and cosine relations, with a 90-degree example.
Ex 07 Cross Product18:32
Compute the cross product of vectors AB and AC to obtain its magnitude. Use this magnitude to find the area of triangle ABC as half of |AB×AC|.

Electromagnetic tutorial to learn how to use mathematical skills for solving Electromagnetic problems from Coulomb's Law to Maxwell's equations ,

this is the first course out of 9 Parts, ( all from sadiku book: elements of electromagnetic)

CH 1: Vector Algebra

CH 2: Coordinate Systems and Transformations

CH 3: Vector Calculus

CH 4: Electro Static Fields

CH 5: Electric Fields in Material Space

CH 6: Electro Static Boundary-Value Problems

CH 7: Magneto Static Fields

CH 8: Magnetic Forces Materials and Devices

CH 9: Maxwell’s Equations