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자연과학 >수학ㆍ물리ㆍ천문ㆍ지리 >수학
• 강의학기
2010년 2학기
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Ordinary differential equations: first-order linear equations, separable equations, exact equations, second-order linear equations, systems of first-order linear equations, systems of nonlinear equations, modeling and applications such as competing species and predator prey systems.

#### 차시별 강의

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

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