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課程名稱 |
工程數學一
Engineering Mathematics (Ⅰ) |
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開課學期 |
111-1 |
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授課對象 |
工程科學及海洋工程學系 |
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授課教師 |
王昭男 |
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課號 |
ESOE2021 |
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課程識別碼 |
505 28110 |
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班次 |
02 |
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學分 |
3.0 |
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全/半年 |
半年 |
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必/選修 |
必帶 |
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上課時間 |
星期一3,4(10:20~12:10)星期四7(14:20~15:10) |
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上課地點 |
工科204工科204 |
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備註 |
各領域必修。
限本系所學生(含輔系、雙修生)
總人數上限：51人 |
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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 |
1：First-Order Differential Equation
2：Second-order Differential Equation
3：Linear Differential Equation with Higher Order
4: Systems of differential equations, phase plane, qualitative method
5：Differential Equation with Variable Coefficient
6：Laplace Transform |
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課程目標 |
To establish the student's essential capability in mathematical modeling, solving and analysis. |
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課程要求 |
待補 |
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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 |
待補 |
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參考書目 |
待補 |
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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. |
期中考一 |
25% |
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2. |
期中考二 |
25% |
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3. |
期末考 |
25% |
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4. |
作業 |
25% |
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週次 |
日期 |
單元主題 |
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第1週 |
9/05,9/08 |
Geometrical meaning of y’=f(x,y), Separable equation, modeling |
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第2週 |
9/12,9/15 |
Exact differential equation, Integrating factors, linear differential equation |
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第3週 |
9/19,9/22 |
Bernoulli equation, Second-order homogeneous equation with constant coefficients |
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第4週 |
9/26,9/29 |
Nonhomogeneous equations, Solution by undetermined coefficients |
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第5週 |
10/03,10/06 |
Solution by variation of parameters, Forced oscillation & Modeling of electriccircuits |
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第6週 |
10/10,10/13 |
第一次期中考試 |
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第7週 |
10/17,10/20 |
Higher order linear differential equations with constant coefficients, Higher order non-homogeneous equations |
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第8週 |
10/24,10/27 |
Homogeneous systems with constant coefficients |
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第9週 |
10/31,11/03 |
Phase plane, critical point, Criteria for critical point, Stability |
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第10週 |
11/07,11/10 |
Qualtative method for non-linear systems, Non-homogeneous linear systems |
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第11週 |
11/14,11/17 |
第二次期中考試, Power series method, Legendre’s equation |
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第12週 |
11/21,11/24 |
Fribenius method, Bessel’s equation expansion |
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第13週 |
11/28,12/01 |
Sturm-Liouville problem, Orthogonal function ,Laplace transform, Linearity |
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第14週 |
12/05,12/08 |
Shift ,Transform of derivatives and integrals, Unit step function, Dirac’s delta function, |
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第15週 |
12/12,12/15 |
Differential and integral of transform, Convolution |
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第16週 |
12/19,12/22 |
Partial Fractions, Systems of Differential equation，期末考 |
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