一、課程說明(Course Desc<x>ription)
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<br>This course is an introduction to the theory of differential equations intended for second or third year 
<br>undergraduate students majoring in mathematics. Our aim is to introduce basic concepts, techniques, and 
<br>applications of first and second order linear equations. Some methods for nonlinear equations and higher 
<br>order systems will be briefly outlined. 
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<br>Topics to be covered include:
<br>1. First order differential equations 
<br>2. Second order linear differential equations
<br>3. Higher order linear differential equations
<br>4. Series solutions
<br>5. Laplace transforms 
<br>6. Nonlinear equations and stability
<br>7. Boundary value problems
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<br> 二、指定用書(Text Books)
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<br>W. Boyce, R. DiPrima, D. Meade: Elementary Differential Equations and Boundary Value Problems, 12th 
<br>edition, John Wiley & Sons, 2022.
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<br> 三、參考書籍(References)
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<br>M. Hirsch, S. Smale, R. Devaney: Differential Equations, Dynamical Systems, and an Introduction to Chaos, 
<br>Elsevier Academic Press, 2004.
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<br>S.B. Hsu, K.C. Chen: Ordinary Differential Equations With Applications, 3rd edition, World Scientific, 2022.
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<br> 四、教學方式(Teaching Method)
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<br>Standard
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<br> 五、教學進度(Syllabus)
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<br>Except for the introductory chapter, a rough schedule is as follows: 
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<br>1. First order differential equations (about 8 hours)
<br>2. Second order linear differential equations (about 7 hours)
<br>3. Higher order linear differential equations (about 8 hours)
<br>4. Series solutions (about 6 hours)
<br>5. Laplace transforms (about 4 hours)
<br>6. Nonlinear equations and stability; (about 4 hours)
<br>7. Boundary value problems (about 6 hours)
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<br> 六、成績考核(Evaluation)
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<br>Method 1: Quizzes/Homework (25%) Three Exams (75%) 
<br>Method 2: Each exam worth 1/3 of course grade
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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/3010F23.html
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