Linear Algebra and Differential Equations (MATH 260)

Matrices, matrix operations, solving system of linear equations, vectors operations, basis and sub-basis, linear transformations, eigenvalues.

Total Lessonses 37 Total hours : 13:15:83 Duration Of Course 17 weeks
  • About the Course :

    By taking this course, you will be able to understand the basic concepts in linear algebra, such as matrices, operations on them, determinants, and methods for calculating them, as well as systems of linear equations and methods for solving them, then introducing the concept of vector spaces and topics related to it, such as subspace, linear composition, linear transformation, independence, and linear correlation, eigenvalues, then the concept of basis and dimension, as well as the order of the matrix, and introducing the concept of vector coordinates.



  • You Will Learn :

    Introduction to Matrix, Matrix Operations, Cramer’s Rule, Inverse Matrix, Diagonalization of Matrix, Adjoint Matrices, Gauss Jordon Elimination, Rank and Matrix Inverse, Areas of Triangle Using Determinants, Revision, Vector Spaces, Dot Product, Norm, Angle, The Angle between Two Vectors and Cross, Orthogonal Vector and Product, Subspaces, Subspaces of Vector Space, General Vector Spaces, Angles and Orthogonal, Basis and Dimensions, Inner Product in Complex Numbers, Length and Dot Product in Rn, Separable of Variables, Exact Equations, More Technics for Solving First Order Differential Equations, Modeling with Differential Equations (Growth and Decay), Reduction of Ordered, Homogenous Linear Equations with Constant Coefficient, Indeterminant Coefficient Annihilators Approaches, Variations Parameters, Eigenvalues and Eigenvectors of Matrices, The Theory of System of Linear Differential Equations, Homogeneous System with Constant Coefficient.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : Linear Algebra and Differential Equations (MATH 260)
    * University Name : Mustaqbal University



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Total Lessonses 37 Total Hours 13:15:83 Duration Of Course 17 weeks
Introduction to Matrix
1 Lessons 0:15:13
Introduction to Matrix
0:15:13
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Matrix Operations
2 Lessons 1:13:17
Matrix Operations Part 1
0:26:59
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Matrix Operations Part 2
0:46:48
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Cramer’s Rule
1 Lessons 0:32:01
Cramer’s Rule
0:32:01
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Inverse Matrix
1 Lessons 0:36:42
Inverse Matrix
0:36:42
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Diagnalization of Matrix
3 Lessons 0:43:38
Diagnalization of Matrix part 1
0:09:53
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Diagnalization of Matrix part 2
0:14:14
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Diagnalization of Matrix part 3
0:19:31
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Adjoint Matrices
1 Lessons 0:10:46
Adjoint Matrices
0:10:46
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Gauss Jordon Elimination
1 Lessons 0:22:36
Gauss Jordon Elimination
0:22:36
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Rank and Matrix Inverse
1 Lessons 0:17:24
Rank and Matrix Inverse
0:17:24
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Areas of Triangle Using Determinants
1 Lessons 0:12:30
Areas of Triangle Using Determinants
0:12:30
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Revision chapter 1
1 Lessons 0:17:14
Revision chapter 1
0:17:14
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Vector Spaces
2 Lessons 0:30:40
Vector Spaces Part 1
0:14:56
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Vector Spaces Part 2
0:15:50
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Dot Product, Norm, Angle
1 Lessons 0:19:25
Dot Product, Norm, Angle
0:19:25
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The Angle between Two Vectors and Cross
1 Lessons 0:23:35
The Angle between Two Vectors and Cross
0:23:35
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Orthogonal Vector and Product
1 Lessons 0:15:45
Orthogonal Vector and Product
0:15:45
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SubSpaces
1 Lessons 0:13:38
SubSpaces
0:13:38
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Subspaces of Vector Space
1 Lessons 0:17:33
Subspaces of Vector Space
0:17:33
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General Vector Spaces
1 Lessons 0:16:23
General Vector Spaces
0:16:23
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Angles and Orthogonal
1 Lessons 0:29:24
Angles and Orthogonal
0:29:24
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Basis and Dimensions
2 Lessons 0:32:54
Basis and Dimensions Part 1
0:19:56
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Basis and Dimensions Part 2
0:12:58
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Inner Product in complex numbers
2 Lessons 0:47:32
Inner Product in complex numbers Part 1
0:23:38
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Inner Product in complex numbers Part 2
0:23:54
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Length and Dot Product in Rn
1 Lessons 0:15:13
Length and Dot Product in Rn
0:15:13
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Exact Equations
1 Lessons 0:22:07
Exact and No Exact Solution of Differential Equations
0:22:07
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More Technics for Solving First Order Differential Equations
1 Lessons 0:17:31
Linear Differential Equation
0:17:31
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Reduction of Ordered
2 Lessons 0:17:02
Reduced Order of Differential Functions
0:07:33
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Reduced Order of Differential Functions 2
0:09:29
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Homogenous Linear Equations with Constant Coefficient
1 Lessons 0:21:11
Homogeneity
0:21:11
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Indeterminant Coefficient Annihilators Approaches
1 Lessons 0:06:05
Solving Euler Equations
0:06:05
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Variations Parameters
1 Lessons 0:12:26
Variation of Parameter
0:12:26
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Eigenvalues and Eigenvectors of Matrices
2 Lessons 0:39:18
Eigenvalues and Eigenvectors Part 1
0:17:30
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Eigenvalues and Eigenvectors Part 2
0:21:48
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The Theory of System of Linear Differential Equations
1 Lessons 0:19:38
Solving Second Ordered Linear Differential Equation
0:19:38
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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job