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" Linear Algebra and Differential Equations (MATH 260) "

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Linear Algebra and Differential Equations (MATH 260)

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

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إجمالي المحاضرات 37 إجمالي الساعات 13:15:83 مدة الدورة 17 أسبوع

نبذة عن المقرر :

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.
ماذا ستتعلم :

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.
الفئة المستهدفة :

* المرحلة الجامعية
* الاختصاص : الرياضيات
* المادة : Linear Algebra and Differential Equations (MATH 260)
* اسم الجامعة : جامعة المستقبل
الدورات المقترحة :

معدل الإنجاز

مهام الطالب

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إجمالي المحاضرات 37 إجمالي الساعات 13:15:83 مدة الدورة 17 أسبوع

Introduction to Matrix

1 دروس

0:15:13

Introduction to Matrix
0:15:13

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Matrix Operations

2 دروس

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 دروس

0:32:01

Cramer’s Rule
0:32:01

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Inverse Matrix

1 دروس

0:36:42

Inverse Matrix
0:36:42

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Diagnalization of Matrix

3 دروس

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 دروس