一、課程說明(Course Desc<x>ription)
<br>Ordinary differential equations has wide applications in all areas of natural science, social science, and is 
<br>fundamental to other areas of mathematics, such as partial differential equations, geometry, and probability.  
<br>This is a year-long course intended for graduate and advanced undergraduate students who have taken 
<br>standard undergraduate courses for differential equations, linear algebra, and complex analysis. Topics to be 
<br>covered in the fall semester include:
<br>1. Fundamental theory
<br>2. Linear systems 
<br>3. Local stability of nonlinear systems
<br>4. Method of Lyapunov functions
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<br> 二、指定用書(Text Books)
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<br>Sze-Bi Hsu: <i>Ordinary Differential Equations with Applications</i>, 2nd edition, World Scientific, 2013. 
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<br> 三、參考書籍(References)
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<br>[1]. E. A. Coddington, N. Levinson: <i>Theory of Ordinary Differential Equations</i>, McGraw Hill, 1984.
<br>[2]. R. Miller, A. N. Michel: <i>Ordinary Differential Equations</i>, Dover Publication, 1982. 
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<br> 四、教學方式(Teaching Method)
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<br>Traditional 
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<br> 五、教學進度(Syllabus)
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<br>Chapters 1-5 of the textbook. 
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<br> 六、成績考核(Evaluation)
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<br>Homework assignments: 20%.
<br>Midterm Exam: 40% -- November 8 (Tuesday) from 1:20pm-4:20pm.
<br>Final exam: 40% -- January 10 (Tuesday) from 1:20pm-4:20pm.
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<br> 七、可連結之網頁位址
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<br>http://www.math.nthu.edu.tw/~kchen/teaching/5250F22.html
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