Partial differential equations 2

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教學目標:

介紹在物理及工程上所需的基本數學工具及原理，並實際應用於物理上

課程範圍:

解微分方程式偏微分方程式複變函數

授課方式:

每周４小時課堂講授

課程進度及綱要:

第一學期

1. First-order differential equation

2. Linear differential equations of second and higher order 3. Systems of differential equations, Phase plane

4. Series solutions of differential equations , Special functions 5. Laplace transforms

6. Fourier analysis and partial differential equations 第二學期

1. Partial differential equations 2. Complex number and functions 3. Complex integration

4. Power series, Taylor series

5. Laurent series, Residue integration

參考書籍:

教科書：Advanced Engineering Mathematics 9th editions 作者：Erwin Kreyszig

O’neil, Advanced Engineering Mathematics Greenberg, Advanced Engineering Mathematics Boas, Mathematical Methods in the Physical Science Arfken, Mathematical Methods for Physicsts

Butkov, Mathematical Physics

評分方式:

1. 兩次平時考試 20%

2. 期中考試 40%

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3. 期末考試 40%

規定事項：

1. 每周點名，累計曠課超過 5 次將扣考。

2. 兩次平時考，缺考以零分計。