1. |
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Introduction and Class outline
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Introduction and Class outline |
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2. |
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First-Order ODEs
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First-Order ODEs |
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3. |
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Directional Fields, Linear ODEs
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Directional Fields, Linear ODEs |
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4. |
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Bernoulli Equation, Existence/Uniqueness Theorem
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Bernoulli Equation, Existence/Uniqueness Theorem |
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5. |
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Second Order ODEs
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Second Order ODEs |
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6. |
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Euler- Cauchy Equations,Euler- Cauchy, Wronskian
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Euler- Cauchy Equations,Euler- Cauchy, Wronskian |
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7. |
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Nonhomogeneous ODE
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Nonhomogeneous ODE |
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8. |
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Electric Circuits, Variation of Parameters
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Electric Circuits, Variation of Parameters |
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9. |
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Higher-Order ODEs
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Higher-Order ODEs |
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10. |
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Numerical methods to solve ODEs
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Numerical methods to solve ODEs |
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11. |
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Laplace Transform
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Laplace Transform |
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12. |
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Convolution, Derivatives
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Convolution, Derivatives |
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13. |
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Special ODEs, System of ODEs, Summary
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Special ODEs, System of ODEs, Summary |
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14. |
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Vector Differential Calculus
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Vector Differential Calculus |
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15. |
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Gradient, Divergence, Curl
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Gradient, Divergence, Curl |
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16. |
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Line Integral
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Line Integral |
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