課程專區

Course

工程數學(二) Engineering Mathematics II

課程綱要

  • 工程數學(二) Engineering Mathematics II

課程目標/概述  

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  

章節名稱

章節名稱

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%

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