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本課程是由交通大學機械工程系提供。

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。

授課教師　 機械工程系 白明憲教授

授課時數　 每週3小時　 共十八週

授課學分　 3學分

授課學年　 97學年度

授課對象　 大學二年級學生

預備知識　 微積分

課程概述與目標

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 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 Laplace Transform
Convergence of Laplace transform
Special functions
Properties
Convolution theorem
Application to system theory
第四章 Fourier Series and Transform
Fourier series
Half-range expansion
Applications of Fourier series
Fourier transform
Properties
Applications

課程書目

Wylie, CR and Barrett, LC, Advanced Engineering Mathematics, 6th ed., McGraw-Hill, 1995.

參考書目

Kreszig, E., Advanced Engineering Mathematics, 9th ed., Prentice-Hall, 2006.
Greenberg, MD, Advanced Engineering Mathematics, 2nd ed., John-Wiley, 1998.
Noble, B. and Daniel, JW, Applied Linear Algebra, 3rd., Prentice-Hall, 1988.
Haberman, R., Elementary Applied Partial Differential Equations, Prentice-Hall, 1987.