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