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
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 |