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MA 26200
Linear Algebra and Differential Equations
Spring 2025
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Lesson 1 1.1 Differential Equations and Mathematical Models
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Lesson 2 1.2 Integrals as General and Particular Solutions
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Lesson 3 1.3 Slope Fields and Solution Curves
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Lesson 4 1.4 Separable Equations
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Lesson 5 1.5 First-Order Linear Differential Equations (part 1)
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Lesson 6 1.5 First-Order Linear Differential Equations (part 2)
Video (No video recorded due to equipment issues) |
Notes
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Lesson 7 1.6 Substitution Methods and Exact Equations (part 1)
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Lesson 8 1.6 Substitution Methods and Exact Equations (part 2)
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Lesson 9 2.1 Population Models
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Lesson 10 2.2 Equilibrium Solutions and Stability
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Lesson 11 2.4 Euler's Method
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Lesson 12 3.1 Introduction to Linear Systems
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Lesson 13 3.2 Matrices and Gaussian Elimination
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Lesson 14 3.3 Reduced Row-Echelon Form
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Lesson 15 3.4 Matrix Operations
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Lesson 16 3.5 Matrix Inverse
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Lesson 17 3.6 Determinants (part 1)
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Lesson 17 3.6 Determinants (part 2)
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Lesson 18 4.1 The Vector Space R3
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Lesson 19 4.2 The Vector Space Rn and Subspaces
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Lesson 20 4.3 Linear Combinations and Linear Independence
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Lesson 21 4.4 Bases and Dimensions
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Lesson 22 4.5 Row and Column Spaces
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Lesson 23 5.1 Intro to 2nd-Order Differential Equations
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Lesson 24 5.2 General Solutions of Linear Differential Equations
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Lesson 25 5.3 Homogeneous Equations with Constant Coefficients
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Lesson 26 5.3 Homogeneous Equations with Constant Coefficients (part 2)
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Lesson 27 5.4 Mechanical Vibrations
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Lesson 28 5.5 Nonhomogeneous Eqs: Undetermined Coefficients
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Lesson 28 5.5 Nonhomogeneous Eqs: Undetermined Coefficients (part 2)
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Lesson 29 5.5 Variation of Parameters
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Lesson 30 6.1 Eigenvalues and Eigenvectors
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Lesson 31 7.1 First-Order System of Differential Equations
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Lesson 32 7.2 Matrices and Linear Systems
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Lesson 33 7.3 The Eigenvalue Method for Linear Systems
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Lesson 33-2 7.3 The Eigenvalue Method for Linear Systems (continued)
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Lesson 34 7.6 Multiple Eigenvalue Solutions (part 1)
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Lesson 34 7.6 Multiple Eigenvalue Solutions (part 2)
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Lesson 34 7.6 Multiple Eigenvalue Solutions (part 3)
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Lesson 35 7.4 Solution Curves of Linear Systems (part 1)
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Lesson 36 7.4 Solution Curves of Linear Systems (part 2)