미분방정식 및 연습
- 고려대학교
- 김준석
페이스북
트위터
카카오톡
네이버밴드
링크복사
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- 주제분류
- 자연과학 >수학ㆍ물리ㆍ천문ㆍ지리 >수학
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- 강의학기
- 2010년 2학기
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- 조회수
- 5,839
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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 | |
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Numerical approximation, Final Exam | Numerical approximation, Final Exam | |
연관 자료
