一、課程簡介:本課程為一切工程學科的根本，是工程界共同的“語言”。工程數學授課時間為一年，工程數學（下）為第二學期，三學分，預修科目為微積分，於大二時修習。內容綱要如下：

1. Orthogonal Function and Fourier Series
2. Fourier Transform and Its Applications
3. Boundary Value Problem: Sturm-Liouville Problem
4. Partial Differential Equation
5. Linear Algebra: Matrix, Determinant, and Theory of Eigenvalue and Eigenfunction
6. Systems of Differential Equations, Phase Plane, and Qualitative Methods
7. Vector Differential Calculus Gradient, Divergence, and Curl
8. Vector Integral Calculus Integral Theorems

計分標準：2 Exams 75%, 作業 15%, 其它 10%

上課時間：週一：14:20 -17:10
上課地點：農機系 知武館 201室


二、先修課程:微積分

三、參考書目:教科書：
1. 講義
2. Erwin Kreyszig, Advanced Engineering Mathematics, 8th ed., 1999. (John Wiley & Sons)
3. Dennis G. Zill and Michael R. Cullen, Advanced Engineering Mathematics, 2nd ed., 2000. (Jones and Bartlett)
4. Peter V. O’Neil, Advanced Engineering Mathematics, 5th ed.,2003.(PWS-Kent)
主要參考書
1. Wylie and Barrett, Advanced Engineering Mathematics, 6th ed., 1995. (McGraw Hill)
2. Peter V. O’Neil, Advanced Engineering Mathematics, 4th ed., 1995.(PWS-Kent)
3. Francis B. Hildebrand, Advanced Calculus for Applications, 2nd ed., 1976. (Prentice-Hall)
4. Michael D. Greenberg, Advanced Engineering Mathematics, 2nd ed., 1998. (Prentice- Hall)
5. Allen Jeffrey, Advanced Engineering Mathematics, 2002. (Harcourt Academic Press)