工程數學（二）

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 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%

授課對象：大學二年級學生

預備知識：微積分