課程名稱 |
工程數學下 Engineering Mathematics (2) |
開課學期 |
105-2 |
授課對象 |
機械工程學系 |
授課教師 |
施文彬 |
課號 |
ME2002 |
課程識別碼 |
502 20002 |
班次 |
03 |
學分 |
3.0 |
全/半年 |
全年 |
必/選修 |
必修 |
上課時間 |
星期一3,4(10:20~12:10)星期三2(9:10~10:00) |
上課地點 |
工綜B01工綜211 |
備註 |
限本系所學生(含輔系、雙修生) 總人數上限:65人 |
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1052Math2 |
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 |
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 |
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 |
Week 1 |
2/20,2/22 |
2/20: Position Vector (11.1, 11.2)
2/22: Directional Gradient and Gradient Field (11.2-11.4) |
Week 2 |
2/27,3/01 |
2/27: Peace Memorial Day
3/01: Gradient Field and Divergence (11.4) |
Week 3 |
3/06,3/08 |
3/06: Curl, Line Integrals, and Green’s Theorem (11.5, 12.1, 12.2)
3/08: Potential Theorem (12.3) |
Week 4 |
3/13,3/15 |
3/13: Line Integral and Surface Integral (12.4, 12.5)
3/15: Applications of Surface Integrals (12.6) |
Week 5 |
3/20,3/22 |
3/20: Divergence Theorem (12.7, 12.8)
3/22: Stoke’s Theorem (12.9) |
Week 6 |
3/27,3/29 |
3/27: Prelim 1 (Ch. 11 and Ch. 12)
3/29: Fourier Series (13.1, 13.2) |
Week 7 |
4/03,4/05 |
Spring Break |
Week 8 |
4/10,4/12 |
4/10: Fourier Series (13.3-13.5)
4/12: Fourier Series (13.6) |
Week 9 |
4/17,4/19 |
4/17: Fourier Integral, Fourier Transform (14.1-14.3)
4/19: Fourier Transform (14.4, 14.5) |
Week 10 |
4/24,4/26 |
4/24: Sturm-Liouville Problems and Legendre Polynomials (15.1, 15.2)
4/26: Legendre Polynomials (15.2) |
Week 11 |
5/01,5/03 |
5/01: Bessel Functions and Wave Equation (15.3, 16.1)
5/03: Wave Equation (16.2) |
Week 12 |
5/08,5/10 |
5/08: Wave Equation (16.2, 16.3)
5/10: d’Alembert’s Solution (16.6) |
Week 13 |
5/15,5/17 |
5/15: Prelim 2 (Ch. 13-Ch. 16)
5/17: Heat Equation (17.1, 17.2) |
Week 14 |
5/22,5/24 |
5/22: Heat Equation and Complex Functions (17.2, 17.3, 19.1)
5/24: Complex Functions (19.2, 19.3) |
Week 15 |
5/29,5/31, 6/03 |
5/29: Dragon Boat Festival
5/31: Complex Functions (19.4, 19.5)
6/03: Complex Integration (20.1-20.3) |
Week 16 |
6/05,6/07 |
6/05: Series Representations (21.1, 21.2)
6/07: Singularities and Residue Theorem (22.1, 22.2) |
Week 17 |
6/12,6/14 |
6/12: Contour Integrals (22.3)
6/14: Contour Integrals (22.3) |
Week 18 |
6/19 |
Final Exam (Ch. 11-Ch. 17, Ch. 19-Ch. 22) |
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