課程專區

Course

工程數學(一) Engineering Mathematics I

課程綱要

  • 工程數學(一) Engineering Mathematics I

課程目標/概述  

This course aims to establish the mathematical ability of undergraduates in mechanical engineering. Fundamental concepts and examples are introduced in the course.

 

課程章節  

章節名稱

章節名稱

第一章

Ordinary Differential Equations (ODE)

 
  • Exact 1st order equations
  • Separable 1st order equations
  • Homogeneous 1st order equations
  • Linear 1st order equations
  • Nonohomogeous equations
  • Variation of parameters
  • 2nd order equations
  • Differential equations with constant coefficients
  • Applications
第二章
Linear Algebra
 
  • System of linear equations
  • Determinants
  • Vector spaces
  • Linear transformation
  • Eigenvalue problems
  • Quadratic forms
  • Applications
第三章 Pure Substance Behavior
 
  • Convergence of Laplace transform
  • Special functions
  • Properties
  • Convolution theorem
  • Application to system theory
第四章 Energy Transfer
 
  • Fourier series
  • Half-range expansion
  • Applications of Fourier series
  • Fourier transform
  • Properties
  • Applications

 

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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