標題: 工程數學（一）Engineering Mathematics I 作者: 白明憲Open Education Office開放教育推動中心 公開日期: 2008 摘要: 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 URI: http://ocw.nctu.edu.tw/course_detail.php?bgid=2&nid=52http://hdl.handle.net/11536/108426 Appears in Collections: Open Course Ware