一、課程說明(Course Description)
<br>本課程旨在訓練工程專業的大學部二年級學生建立如下的能力：
<br>1.從工程現象中建立數學模型
<br>2.以如下的數學方法解決上述的方程式
<br>(a)線性常微分方程，級數解微分方程, Laplace transform
<br>(b)線性代數方程式系統、向量空間、矩陣及線性方程式，Eignvalue problem
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<br>二、指定用書(Text Books)
<br>"Advanced Engineering Mathmatics", by M.D. Greenberg
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<br>三、參考書籍(References)
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<br>四、教學方式(Teaching Method)
<br>投影片教學配合手寫黑板
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<br>五、教學進度(Syllabus)
<br>Part I Ordinary Differential Equations
<br>1.Chapters1 Introduction to Differential : week 1 :9/17
<br>2.Chapter 2 Introduction to differential equation and Equation of first order  
<br>:Week 2-3, 9/24, 9/26, 10/1, 
<br>3.Chapters 3 Linear differential equation of second order and higher
<br>Week 4-5 : 10/3, 10/8, 10/15, 10/17, 10/22,10/24, Mid exam I 
<br>4.Chapters 4 Power series solutions: Week 6-8, 10/29,10/31, 11/5, 11/7, 11/12, 
<br>11/14,
<br>5.Chapters 5 Laplace transform, Week 9-11, 11/19,11/21, 11/26, 11/28 12/3, MID 
<br>exam II
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<br>Part II: Linear Algebra
<br>1.Chapter 8 Systems of Linear Algebraic Equations; Gauss Elimination:  Week 12-13, 
<br>12/5 12/10, 
<br>2.Chapter 9 Vector Space : 12/12, 12/19, 12/17, week: 14-16
<br>3.Chapters 10 Matrices and Linear Equation: 12/24, 12/26, 12/31, 1/2, 1/7, 1/ 9.  
<br>Week : 16-18 Final Exam 
<br>4. Chapter 11 Eigenvalue problem (Eigenvalue and Eigenspaces) 
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<br>六、成績考核(Evaluation)
<br>期中考一(25%)、期中考二(25%)、期末考(30%)、小考及出席(20%)
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<br>七、可連結之網頁位址