一、課程說明(Course Desc<x>ription)
<br>本課程著重於常微分方程之定性理論,預備知識需高等微積分及線性代數.
<br>本課程提供三學分的常微分方程基本理論，為研究生之標準課程。
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<br> 二、指定用書(Text Books)
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<br>Sze-Bi Hsu, Ordinary Differential Equations with Applications, World  Scientific, second edition, 2013
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<br> 三、參考書籍(References)
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<br>1. Jack Hale: Ordinary differential Equations, 2nd edition, 1980.
<br>2. J.Hale and H. Kocak: Dynamics and bifurcations
<br>3. Robinson: Dynamical Systems
<br>4. Richard K. Miller and Anthony N. Michel, Ordinary Differential Equations.
<br>5. Morris W. Hirsch, Stephen Smale, Robert L. Devaney, Differential Equations,
<br>   Dynamical Systems, and an Introduction to Chaos, Acdaemic Press, 2004.
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<br> 四、教學方式(Teaching Method)
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<br>演講及計算.
<br>課堂上課. 時間: W3,4, Thu 3,4
<br>          地點: 綜三館 R723
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<br> 五、教學進度(Syllabus)
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<br>1. Orbital stability ,  application of stable and unstable manifolds: travelling wave solution 
<br>2. Method of Lyapunov Functions 
<br>3. Two-Dimensional Systems, Poincare Bendixson Theorem, Hopf Bifurcations
<br>4. Second order linear equations , Sturm-Liouville eigenvalue Theorem, Green's functions 
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<br> 六、成績考核(Evaluation)
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<br>Assignments (30%)
<br>Midterm (35%)
<br>Final (35%)
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<br> 七、可連結之網頁位址 無
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