課程資訊
課程名稱
工程數學下
Engineering Mathematics (2) 
開課學期
109-2 
授課對象
機械工程學系  
授課教師
潘國隆 
課號
ME2002 
課程識別碼
502E20002 
班次
02 
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215新103 
備註
本課程以英語授課。
限本系所學生(含輔系、雙修生)
總人數上限:55人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1092ME2002_02 
課程簡介影片
 
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課程概述

In this course, we will explore the mathematical methods and techniques that are typically used in engineering science. This is an interdisciplinary subject motivated by engineers’ needs of using mathematical approaches in terms of practical and theoretical considerations for analyzing and solving problems of relevance. This second semester of engineering mathematics will be dealt with vector calculus, Fourier series as well as integral and transforms, boundary-value problems, partial differential equations (PDE), and complex analysis. 

課程目標
1. Vector differential calculus
2. Vector integral calculus
3. Orthogonal functions and Fourier series
4. Sturm-Liouville theorem
5. Fourier integral
6. Fourier transform
7. Boundary-value problems and partial differential equations
8. PDE Wave equation
9. PDE Heat equation
10. PDE Laplace equation
11. Complex analysis: functions of a complex variable
12. Complex analysis: integration in the complex plane
13. Complex analysis: series and residues 
課程要求
待補 
預期每週課後學習時數
 
Office Hours
 
參考書目
2. E. Kreyszig, Advanced Engineering Mathematics, 10th Edition, John Wiley
& Sons, Inc., New York, 2011.
3. P. V. O’Neil, Advanced Engineering Mathematics, 7th Edition,
Brooks/Cole Publishing Company, London, 2011.
4. M. D. Greenberg, Advanced Engineering Mathematics, 2nd Ed., Prentice
Hall, 1998. 
指定閱讀
D. G. Zill, Advanced Engineering Mathematics, 6th Ed., Jones & Bartlett Learning, Burlington, 2018. 
評量方式
(僅供參考)
   
課程進度
週次
日期
單元主題
Week 1
2/22,2/24  1. Vector differential calculus 
Week 2
3/01,3/03  Topic 1 (3/01 school off) 
Week 3
3/08,3/10  Topic 1; 2. Vector integral calculus  
Week 4
3/15,3/17  Topic 2 
Week 5
3/22,3/24  Topic 2; 3. Orthogonal functions and Fourier series 
Week 6
3/29,3/31  Topic 3 
Week 7
4/05,4/07  (4/05 school off, 1st midterm exam: 4/09, 18:30 - 21:30) 
Week 8
4/12,4/14  Topic 3. (Sturm-Liouville theorem) 4. Fourier Integral and Transforms 
Week 9
4/19,4/21  Topic 4 
Week 10
4/26,4/28  5. Boundary-Value Problems in Rectangular Coordinates (2nd midterm exam: 4/30, 18:30 - 21:30) 
Week 11
5/03,5/05  Topic 5 
Week 12
5/10,5/12  Topic 5 
Week 13
5/17,5/19  Topic 5 
Week 14
5/24,5/26  6. Boundary-Value Problems in Other Coordinates 
Week 15
5/31,6/02  Topic 6 
Week 16
6/07,6/09  7. Complex Analysis: functions of a complex variable  
Week 17
6/14,6/16  Topic 7 (6/14 school off; 3rd midterm exam: 6/16, 19:00 - 22:00) 
Week 18
6/21,6/23  8. Complex analysis: integration in the complex plane; Final exam (6/28, 14:00 - 17:00)