1. |
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Introduction to the differential equations
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Introduction to the differential equations |
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2. |
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Introduction to systems of first order linear equations
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Introduction to systems of first order linear equations |
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3. |
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Second order linear equations
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Second order linear equations |
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4. |
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Solution for systems of first order linear equations
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Solution for systems of first order linear equations |
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5. |
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Systems of first order linear equations : Eigenvalues and eigenvectors
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Systems of first order linear equations : Eigenvalues and eigenvectors |
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6. |
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Direction fields and trajectories
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Direction fields and trajectories |
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7. |
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The general solution with complex eigenvalues
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The general solution with complex eigenvalues |
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8. |
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Solutions with eigenvalues Midterm Exam
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Solutions with eigenvalues Midterm Exam |
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9. |
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The Phase plane of the linear systems
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The Phase plane of the linear systems |
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10. |
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Autonomous systems and stability
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Autonomous systems and stability |
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11. |
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Linearlized systems
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Linearlized systems |
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12. |
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Competing species
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Competing species |
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13. |
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Population equations
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Population equations |
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14. |
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Predator prey systems
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Predator prey systems |
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15. |
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General predator prey systems
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General predator prey systems |
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Numerical approximation, Final Exam
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Numerical approximation, Final Exam |
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