24.08.2022, 21:32
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Math For Electricity And Magnetism
Last updated 11/2021
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz
Language: English | Size: 10.91 GB | Duration: 10h 18m
Give you the power of Mathematics, with 28 illustrated quiz with answers !
What you'll learn
Vector calculus : The definition of a vector, scalar product, vector product and more
Flux of a vector
Using matrices and determinants in vector calculus
Coordinate system: Cartesian, cylindrical and spherical coordinates
Profound details about the coordinate system like relations between the coordinate system and rotation matrix
Application of trigonometry in vector calculus and coordinate system
Recall about: differential of multivariable function
Infinitesimal line element in cartesian, cylindrical and spherical coordinates
Infinitesimal area element in cartesian, cylindrical and spherical coordinates
Infinitesimal volume element in cartesian, cylindrical and spherical coordinates
Gradient operator
Divergence operator
Curl operator
Other tools will come after, such as the Laplacian operator and more details about the operators.
Requirements
Fundamentals of Mathematics
Basic Analysis (like derivative of function of one variable)
Description
Physics is not hard, but if you don't have the tools for doing Physics, Physics become not just hard but impossible to do it, like a mechanic with not his tools, he can't work!
For example, Electricity and Magnetism course is filled with strange symbols like grad, div, curl, partial derivative cos and sin combined...etc, and for this reason, this course maybe appears difficult for the first time, and maybe you can abandon physics...
Please don't lose hope, because you need first some tools for doing Physics, this beautiful subject.
Those tools can also help you in mechanics and engineering.
And for this I represent you some concepts before going in electricity and magnetism course
Vector calculus: Definition of a vector, scalar product, vector productVector calculus: Flux of a vectorCoordinate system: Cartesian coordinatesCoordinate system: Cylindrical coordinatesCoordinate system: Spherical coordinatesCoordinate system: Relations between Cartesian and cylindrical coordinatesCoordinate system: Relations between Cartesian and spherical coordinatesTrigonometryRotation matrixInfinitesimal line element in the three coordinates systemsInfinitesimal area element in the three coordinates systemsInfinitesimal volume element in the three coordinates systemsGradient operator Divergence operatorCurl operatorI promise you further details about operators
I hope that this course will be useful for you, pass 8 hours of video with pleasure!
Overview
Section 1: Vector calculus : Intro
Lecture 1 Introduction 1
Lecture 2 Introduction 2
Lecture 3 Example of a vector
Lecture 4 Equality of two vectors
Lecture 5 Unit vector
Lecture 6 Representation of a vector
Lecture 7 The magnitude of a vector
Lecture 8 Addition of vectors
Lecture 9 Addition of vectors, another notation
Lecture 10 Vector multiplication
Section 2: Vector calculus : Scalar product
Lecture 11 The scalar product of two vectors
Lecture 12 The scalar product of two vectors, part 2
Lecture 13 The scalar product in component representation
Lecture 14 Orthonormality relations
Lecture 15 The scalar product in component representation, part 2
Lecture 16 Flux of a vector
Section 3: Vector calculus : Vector product
Lecture 17 Vector product
Lecture 18 The magnitude of the vector product
Lecture 19 Properties of the vector product
Lecture 20 Rules of calculation
Lecture 21 Determinant
Lecture 22 Triple scalar product
Lecture 23 Geometrical interpretation of triple scalar product
Lecture 24 Properties of the triple scalar product
Section 4: Coordinate system : Cartesian coordinates
Lecture 25 Introduction and the expression of position vector in cartesian coordinates
Lecture 26 More details about cartesian basis
Lecture 27 Representation of x=constant, y=constant and z=constant
Section 5: Coordinate system : Cylindrical coordinates
Lecture 28 Introduction
Lecture 29 Cylindrical basis and more
Lecture 30 Remarks
Section 6: Coordinate system : Relations between cartesian and cylindrical coordinates
Lecture 31 The cartesian coordinates in function of cylindrical coordinates
Lecture 32 e_rho and e_phi in function of cartesian basis
Lecture 33 Remark 1 : e_rho in function of cartesian basis, second method
Lecture 34 e_phi in function of cartesian basis, second method
Lecture 35 e_z in function of cartesian basis, second method
Lecture 36 Remark 2
Lecture 37 Remark 3
Lecture 38 Remark 4 : Rotation matrix, part 1
Lecture 39 Remark 4 : Rotation matrix, part 2
Lecture 40 Remark 4 : Rotation matrix, part 3
Section 7: Coordinate system : Spherical coordinates
Lecture 41 Introduction
Lecture 42 Remark
Lecture 43 Spherical basis
Lecture 44 Remark 1
Lecture 45 Remark 1, part 2
Lecture 46 Remark 1, part 3
Lecture 47 Remark 2
Section 8: Coordinate system : Relations between cartesian and spherical coordinates
Lecture 48 The cartesian coordinates in function of spherical coordinates
Lecture 49 The spherical coordinates in function of cartesian coordinates
Lecture 50 The expression of position vector
Lecture 51 Unit vectors for spherical coordinates
Lecture 52 Unit vectors for spherical coordinates, part 2
Lecture 53 Remark 1
Lecture 54 Remark 2
Lecture 55 Remark 3
Lecture 56 Remark 4 : Rotation matrix in spherical coordinates
Section 9: Infinitesimal displacement vector, Area element and Volume element
Lecture 57 Recall : differential of a function of three variables
Lecture 58 Infinitesimal displacement vector in cartesian coordinates, and area element
Lecture 59 Volume element in cartesian coordinates
Lecture 60 Infinitesimal displacement vector in cylindrical coordinates, and area element
Lecture 61 Area element of a cylinder, exactly the lateral area
Lecture 62 Volume element in cylindrical coordinates
Lecture 63 Infinitesimal displacement vector in spherical coordinates
Lecture 64 Area element of a sphere
Lecture 65 Volume element in spherical coordinates
Section 10: The Gradient, Divergence and Curl
Lecture 66 The Gradient operator
Lecture 67 Gradient operator : Example, part 1
Lecture 68 Gradient operator : Example, part 2
Lecture 69 Gradient operator : Example, part 3
Lecture 70 Gradient operator : Example, part 4
Lecture 71 The divergence operator
Lecture 72 The curl operator
Section 11: Bonus Lectures
Lecture 73 Definition of an operator
Lecture 74 Equipotential surfaces
Lecture 75 Divergence
Lecture 76 Circulation
Lecture 77 Circulation, example
Section 12: Introduction to electrostatics
Lecture 78 Electrical constitution of matter
Lecture 79 Elecrtric charge
Lecture 80 What's electrostatics
Lecture 81 Charges distribution, point charge
Lecture 82 Charges distribution, continuous charge distribution, volume distribution
Lecture 83 Charges distribution, continuous charge distribution, surface distribution
Lecture 84 Charges distribution, continuous charge distribution, Linear distribution
If you beginning an electricity and magnetism course, this course is critical,You can also use those tools for mechanics
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