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課程名稱 |
工程數學下
Engineering Mathematics (2) |
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開課學期 |
104-2 |
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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 |
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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 |
與高國傑合開
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/1042_eng_math2 |
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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 |
11 |
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課程目標 |
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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 |
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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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週次 |
日期 |
單元主題 |
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Week 1 |
2/22,2/24 |
Vector Calculus |
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Week 2 |
2/29,3/02 |
Scalar Field |
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Week 3 |
3/07,3/09 |
Gradient and Curl |
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Week 4 |
3/14,3/16 |
Divergence of a Vector Field
PDE: heat eqn |
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Week 5 |
3/21,3/23 |
PDE: heat eqn (cont.) |
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Week 6 |
3/28,3/30 |
***Change of contents** Fourier series |
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Week 7 |
4/04,4/06 |
Fourier series coefficients, convergence
**Homework01 |
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Week 8 |
4/11,4/13 |
Fourier integral and transformation |
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Week 9 |
4/18,4/20 |
Fourier transformation |
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Week 10 |
4/25,4/27 |
**back to heat eqn, Sturm-Liouville theorem |
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Week 11 |
5/02,5/04 |
Sturm-Liouville theory, revisit to solution to heat eqn on finite domain; heat eqn on infinite domain |
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Week 12 |
5/09,5/11 |
*2D heat equation
*Fundamental role of Laplace operator/equation and its solution |
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Week 13 |
5/16,5/18 |
* SL problem on polar and spherical coordinate system (Bessel equation & Legendre equation and the respective functions
* Wave equation & solution on finite interval |
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Week 14 |
5/23,5/25 |
Midterm II (on 23) |
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Week 15 |
5/30,6/01 |
*d'Alembert solution to 1D wave equation
*Discussion on handling of boundary condition & solving with Fourier Transformation
*Note HW05 due on Wed. Jun.08 |
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Week 16 |
6/06,6/08 |
Complex functions & analysis (to the end of the term) |
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Week 17 |
6/13,6/15 |
Residue thm; real integral with Residue thm |
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