10801工程數學Engineering Mathematics

工程數學為一切工程學科的基礎，提供解決工程問題的基本工具。Engineering mathematics is the foundation of all engineering disciplines and provides basic tools for solving engineering problems.

 

課程說明
Description of the course
     工程數學為一切工程學科的基礎，提供解決工程問題的基本工具。預修科目為微積分。課程內容包括：

	(1)	一階微分方程式	(4)	聯立微分方程式
	(2)	二階線性微分方程式	(5)	微分方程式級數解
	(3)	高階線性微分方程式	(6)	拉普拉斯轉換

 

課程教材
Course Material

♠	Erwin Kreyszig, Advanced Engineering Mathematics, 10th edition, 2011, Wiley.

 

參考教材
References 

♠	Dennis G. Zill, Advanced Engineering Mathematics, 6th edition, Jones & Bartlett Learning.
  ♠	C. Henry Edwards and David E. Penney, Differential Equations and Boundary Value Problems: Computing and Modeling, 5th Edition, 2016, Pearson.
♠	Peter V. O'Neil, Advanced Engineering Mathematics, 8th edition, 2017, Thomson Brooks/Cole.

 

教學方式
Teaching Method

♠	Lectures and labs.

 

 

教學進度
 Schedule

1.	First order differential equations
2.	Second order differential equations
3.	Systems of differential equations
4.	Numerics for order differential equations
5.	Series solutions for differential equations
6.	Laplace transform
7.	Fourier series