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課程名稱 |
工程數學下
Engineering Mathematics (2) |
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開課學期 |
108-2 |
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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 |
ME2002 |
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課程識別碼 |
502 20002 |
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班次 |
02 |
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學分 |
3.0 |
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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 |
綜501綜302 |
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備註 |
本課程中文授課,使用英文教科書。
限本系所學生(含輔系、雙修生)
總人數上限：55人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1082ME2002_02engmath |
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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 |
Vector calculas, Complex analysis, Linear opearators and its use on partial differential equations (PDE, Laplace equation, heat equation, wave equation) |
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課程目標 |
Learn the basic knowledge of exisiting mathemtatical theorems and percieve the concept behind the framework; develop analytical skills (derivations vs. choice of methods); even more, learn to convert real-world problems into a mathematical description |
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課程要求 |
1.attend the class (or study on your own at the same pace); 2. review contents & finish class assignments; 3.practice textbook problems on your own; 4.work on chosen problems; 6 take midterm and finals |
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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 |
Zill |
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參考書目 |
Greenberg, Advanced Engineering Mathematics
Sharkar, Basic Training in Mathematics, a fitness program for science students
O’Neil, Advanced Engineering Mathematics |
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評量方式
(僅供參考) |
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週次 |
日期 |
單元主題 |
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第1週 |
3/9, 3/12 |
Linear space.Sturm Liouville problem |
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第2週 |
3/16, 3/18 |
orthogonal function and Fourier series Ch.12 |
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第4週 |
3/11,3/13 |
Ch17 Complex function & Ch18 Complex function integration |
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第5週 |
3/18,3/20 |
Complex function (variable and property) |
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第6週 |
3/25,3/27 |
Complex series & residue theorem Ch.19 21 |
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第7週 |
4/01,4/03 |
Residue theorem and its use in real function analysis |
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第9週 |
4/15,4/17 |
Midterm exam / Linear space |
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第11週 |
4/29,5/01 |
Ch12 (unit 05) and transition to Fourier integral Ch15 (unit 06; will continue later on) |
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第12週 |
5/06,5/08 |
PDE: Laplace equation Ch.13 [x-y] Ch14 [polar, cylindrical, spherical] (unit 07) |
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第13週 |
5/13,5/15 |
PDE: Laplace equation in different geometry; heat equation |
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第14週 |
5/20,5/22 |
Heat Equation in finite domain Ch.13, 14 |
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第15週 |
5/27,5/29 |
Fourier transformation [Ch.15] + Heat eqn in ∞ domain |
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第16週 |
6/03,6/05 |
Heat eqn in ∞ domain (Fourier/Laplace transformation) |
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第17週 |
6/10,6/12 |
Wave eqn in finite domain & ∞ domain (method of the characteristic line) |
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第18週 |
06/17 |
Final exam |
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