Course curriculum
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1
Chapter 0: Read before start
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A Brief Overview of the Course
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Goals and Objectives of the Course
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Skills and Career Opportunities (Results of the Course)
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2
Introduction to Linear Algebra
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Introduction to Linear Algebra
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Linear Algebra Applications
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Linear Combination and Linear Equations
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Quiz 1 - Linear Combination and Linear Equations
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System of Linear Equations
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Solution of Linear Systems - Elementary Methods
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Quiz 2 - System of Linear Equations
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Linear System Examples
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Feedback
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3
Vectors
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What are Vectors?
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Basic Operations on Vectors
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Quiz 3 - Basic Operations on Vectors
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Interconversion between Polar and Rectangular Coordinates
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Quiz 4 - Rectangular and Polar Coordinates
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Norm of a Vector
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Dot Product
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Applications of Dot Product
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Quiz 5 - Dot Product and Norm of a Vector
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Linear Combination of Vectors
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Span and Linear Independence
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Quiz 6 - Linear Combination and Span of Vectors
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Feedback
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4
Matrices
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System of Linear Equations and Matrices
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Matrices Origin and Evolution
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Basic Operations and Properties
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Quiz 7 - Basic Operations on Matrices
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Linear Transformation - Part 1 - Geometry and Intuition
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Linear Transformation - Part 2 - Common Transformations
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Linear Transformation - Part 3 - Mathematics of Linear Transformation
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Composition of Transformations
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Quiz 8 - Matrix Multiplication and Linear Transformation
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Determinants
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Quiz 9 - Determinants
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Solution of Equations - Cramer's Rule
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Solution of Equations - Matrix Inverse
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Quiz 10 - Matrix Inverse
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Reduced Row Echelon Form - RREF
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Solution of Equations - RREF
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Quiz 11 - Reduced Row Echelon Form
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Eigenvalues and Eigenvectors
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Eigenvalues and Eigenvectors - 3 x 3 Systems
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Quiz 12 - Eigenvalues and Eigenvectors
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Feedback
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5
Congratulations! You have successfully completed this course!
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Congratulations!
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