| Week of | Topic | Sections |
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First Order Ordinary Differential Equations
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First day of class
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Read Sections I.1.1-I.1.3
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August 27
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Linear and Separable equations
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I.2.1-I.2.5, I.3.1-I.3.4
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September 5
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General Theory/Graphical Methods/Applications
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I.4.1-I.4.2, I.5.2-I.5.3.1, I.5.4.1, I.6.1-I.6.2, I.6.4-6.5
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September 10
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Numerical Methods, Exact Equations
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I.7.1-I.7.4, I.8.1-I.8.2
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September 17
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Integrating Factors
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I.8.3
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Monday, September 24
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Exam I
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Sections I.2-I.8
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Higher Order Linear Ordinary Differential Equations
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September 24
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Homogeneous Equations
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II.1.1-II.1.3, II.2.1-II.2.6, II.3.1-II.3.3.1
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October 1
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Homogeneous and nonhomogeneous equations with constant coefficients
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II.4.2-II.4.5, II.5.1-II.5.2, II.6.1-II.6.2
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October 8
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Nonhomogeneous equations with constant coefficients/Application: springs
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II.6.3-II.6.5, II.8.1-II.8.6
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October 15
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Nonhomogeneous Equations with variable coefficients
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II7.1-II.7.3.1
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Friday, October 19
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Exam II
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October 22
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Laplace Transforms
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II.9.1-II.9.10
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October 29
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Laplace Transforms
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II.9.1-II.9.10
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First order systems of linear differential equations
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November 5
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General methods/matrix exponentials
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III.2.1-III.2.5, III.4.1-III.4.4
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November 12
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Eigenvalue methods
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III.5.1-III.5.5
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Friday, November 16
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Exam III
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November 19
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Planar Systems
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III.7.1-III.7.4, III.8.1-III.8.4
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November 26
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Autonomous Linear Systems
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III.8.1-III.8.4, III.9.1-III.9.5, III.10.1-III.10.2
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December 3
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Application: Population dynamics
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III.10.3-III.10.4
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Wednesday, December 12
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Final Exam
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