課程資訊
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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課程概述

11 

課程目標
 
課程要求
 
預期每週課後學習時數
 
Office Hours
 
指定閱讀
 
參考書目
 
評量方式
(僅供參考)
   
課程進度
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)