Homepage » ALL COURSE » College of Engineering » Engineering Mathematics II – 97 Academic Year | Department of Mechanical Engineering Prof. Ming-Sian Bai
本課程是由 國立陽明交通大學機械工程程學系提供。
本課程的目標是為建立大學生在機械工程的數學能力,課程內容將介紹工程數學的基本概念與範例。
Textbook:Wylie, C. R. and Barrett, L. C., Advanced Engineering Mathematics, 6th ed., McGraw-Hill, 1995.
For perfect learning results, please buy textbooks!
Instructor(s) | Department of Mechanical Engineering Prof. Ming-Sian Bai |
---|---|
Course Credits | 3 Credits |
Academic Year | 97 Academic Year |
Level | Sophomore |
Prior Knowledge | Calculus |
Related Resources | Course Video Course Syllabus Course Calendar |
Week | Course Content | Course Video |
---|---|---|
第五章 Vector Analysis 課程介紹 | Watch Online | |
Vector Analysis(1/9) | Watch Online | |
Vector Analysis(2/9) | Watch Online | |
Vector Analysis(3/9) | Watch Online | |
Vector Analysis(4/9) | Watch Online | |
Vector Analysis(5/9) | Watch Online | |
Vector Analysis(6/9) | Watch Online | |
Vector Analysis(7/9) | Watch Online | |
Vector Analysis(8/9) | Watch Online | |
Vector Analysis(9/9) | Watch Online | |
第六章 Partial Differential Equations (PDE)(1/8) | Watch Online | |
Partial Differential Equations (PDE) (2/8) | Watch Online | |
Partial Differential Equations (PDE)(3/8) | Watch Online | |
Partial Differential Equations (PDE)(4/8) | Watch Online | |
Partial Differential Equations (PDE)(5/8) | Watch Online | |
Partial Differential Equations (PDE)(6/8) | Watch Online | |
Partial Differential Equations (PDE)(7/8) | Watch Online | |
Partial Differential Equations (PDE)(8/8) | Watch Online | |
第七章 Complex Analysis(1/10) | Watch Online | |
Complex Analysis(2/10) | Watch Online | |
Complex Analysis(3/10) | Watch Online | |
Complex Analysis(4/10) | Watch Online | |
Complex Analysis(5/10) | Watch Online | |
Complex Analysis(6/10) | Watch Online | |
Complex Analysis(7/10) | Watch Online | |
Complex Analysis(8/10) | Watch Online | |
Complex Analysis(9/10) | Watch Online | |
Complex Analysis(10/10) | Watch Online | |
第八章 Special Function(1/3) | Watch Online | |
Special Function(2/3) | Watch Online | |
Special Function(3/3) | Watch Online |
課程目標
本課程的目標是為建立大學生在機械工程的數學能力,課程內容將介紹工程數學的基本概念與範例。
課程章節
章節 | 章節內容 |
第五章 Vector Analysis | Vector fields The differential operators: dicergence, gradient, curl Line, surface, and volume integrals Integral theorems:divergence theorem,Greens theorem,and Stokes theorem Potential theory Applications |
第六章 Partial Differential Equations (PDE) | Method of characteristics Classification of PDEs Seperation of variables Solution of non-homogeneous problems Solution of PDE by integral transform methods Applications |
第七章 Complex Analysis | Analytic functions Taylor and Laurent series Cauchy integral and the residue theorem Application to stability analysis of systems Conformal mapping |
第八章 Special Function | Separation of variables in curvilinear oordinate Bessel functions Legendre polynomials Chebyshev polynomials |
課程書目
Wylie, C. R. and Barrett, L. C., Advanced Engineering Mathematics, 6th ed., McGraw-Hill, 1995.
參考書目
Kreszig, E., Advanced Engineering Mathematics, 9th ed., Prentice-Hall, 2006.
Greenberg, M. D., Advanced Engineering Mathematics, 2nd ed., John-Wiley, 1998.
Noble, B. and Daniel, J. W., Applied Linear Algebra, 3rd., Prentice-Hall, 1988.
Haberman, R., Elementary Applied Partial Differential Equations, Prentice-Hall, 1987.
評分標準
項目 | 百分比 |
作業 | 40% |
期中考 | 30% |
期末考 | 30% |
本課程行事曆提供課程進度與考試資訊參考。
學期週次 | 上課日期 | 參考課程進度 |
第一週 | 02/22-02/28 |
|
第二週 | 03/01-03/07 |
|
第三週 | 03/08-03/14 |
|
第四週 | 03/15-03/21 |
|
第五週 | 03/22-03/28 |
|
第六週 | 03/29-04/04 |
|
第七週 | 04/05-04/11 |
|
第八週 | 04/12-04/18 |
|
第九週 | 04/19-04/25 |
|
第十週 | 04/26-05/02 |
|
第十一週 | 05/03-05/09 |
|
第十二週 | 05/10-05/16 |
|
第十三週 | 05/17-05/23 |
|
第十四週 | 05/24-05/30 |
|
第十五週 | 05/31-06/06 |
|
第十六週 | 06/07-06/13 |
|
第十七週 | 06/14-06/20 |
|
第十八週 | 06/21-06/27 |
|