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課程名稱 |
工程數學上
ENGINEERING MATHEMATICS (1) |
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開課學期 |
98-1 |
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授課對象 |
機械工程學系 |
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授課教師 |
楊馥菱 |
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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/981engmath_fly |
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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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課程概述 |
一、Ordinary Differential Equations
1. 1st-order differential Equations
2. 2nd-order differential Equations
3. Series solutions
4. The Laplace transform
二、Systems of Linear Differential Equations
1. Vectors and vector spaces
2. Determinants and eigenvalues
3. Diagonalization of matrices
4. Systems of linear differential equations
5. 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 |
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預期每週課後學習時數 |
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Office Hours |
另約時間 |
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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. |
進階習題(optional) |
10% |
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2. |
期末考 |
25% |
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3. |
隨堂測驗 |
35% |
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4. |
作業 |
40% |
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