工程數學（一）

Abstract

課程首頁

本課程是由交通大學機械工程學系提供。

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。

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%

授課對象：大學二年級學生

預備知識：微積分