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課程名稱 |
工程數學上
Engineering Mathematics (1) |
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開課學期 |
102-1 |
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授課對象 |
機械工程學系 |
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授課教師 |
王興華 |
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課號 |
ME2001 |
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課程識別碼 |
502 20001 |
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班次 |
02 |
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學分 |
3 |
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全/半年 |
全年 |
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必/選修 |
必修 |
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上課時間 |
星期一3,4(10:20~12:10)星期三2(9:10~10:00) |
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上課地點 |
工綜215工綜B01 |
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備註 |
限本系所學生(含輔系、雙修生)
總人數上限：65人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/10211111 |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
一、Ordinary Differential Equations
1. First-Order Differential Equations
2. Linear Second-Order Equations
3. The Laplace transform
4. Series Solutions
5. Approximation of Solutions
二、Systems of Linear Differential Equations
1. Vectors and Vector Spaces
2. Matrices and Linear Systems
3. Determinants
4. Eigenvalues, Diagonalization, and Speial Matrices
5. Systems of Linear Differential Equations
6. Sturm-Liouville Theory and Special Functions (optional) |
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課程目標 |
This course will address several mathematical methods that can be applied to solve various governing equations in fundamental sciences or engineering applications. We will put special emphasis on both the physical meaning and the mathematical significance of each topic. The students should strengthen their capability of understanding and solving a real problem in the fields of engineering and science.
We will talk about 1st and 2nd ordinary differential equations (ODE), series solution method, Laplace transformation, vector space and calculation, and finish the term with the fundamentals of linear algebra. |
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課程要求 |
Calculus |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
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參考書目 |
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
Assigned homework |
10% |
Assigned homework is due before next Monday’s 5:00 P.M. (Late work within 1 week x 0.5, others 0), |
2. |
Call |
10% |
Absence from class will affect the final score (-1 per call). |
3. |
4 exams |
80% |
4 exams (20 % each). |
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週次 |
日期 |
單元主題 |
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第1週 |
9/09,9/11 |
Chapter 1 First-order Differential Equations |
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第2週 |
9/16,9/18 |
Chapter 1 First-order Differential Equations, and Chapter 2 Linear Second Order Equations |
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第3週 |
9/23,9/25 |
Chapter 2 Linear Second Order Equations |
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第4週 |
9/30,10/02 |
Chapter 3 The Laplace Transform |
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第5週 |
10/07,10/09 |
Chapter 3 The Laplace Transform, and Chapter 4 Series Solutions |
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第6週 |
10/14,10/16 |
Chapter 4 Series Solutions,
Chapter 6 Vectors and Vector Spaces |
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第7週 |
10/21,10/23 |
Chapter 6 Vectors and Vector Spaces |
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第8週 |
10/28,10/30 |
Chapter 6 Vectors and Vector Spaces Chapter 7 Matrices and Linear Systems |
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第9週 |
11/04,11/06 |
Chapter 7 Matrices and Linear Systems |
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第10週 |
11/11,11/13 |
Chapter 5 Approximation of Solutions
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第11週 |
11/18,11/20 |
Chapter 8 Determinants |
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第12週 |
11/25,11/27 |
Chapter 9 Eignevalues, Diagonalization, and Special Matrices |
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第13週 |
12/02,12/04 |
Chapter 9 Eignevalues, Diagonalization, and Special Matrices |
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第14週 |
12/09,12/11 |
Chapter 9 Eignevalues, Diagonalization, and Special Matrices |
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第15週 |
12/16,12/18 |
Chapter 10 Systems of Linear Differential Eauations |
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第16週 |
12/23,12/25 |
Chapter 15 Special Functions and Eigenfunction Expansions |
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第17週 |
12/30,1/01 |
Options |
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