天主教輔仁大學課程大綱 天主教輔仁大學課程大綱

天主教輔仁大學課程大綱 天主教輔仁大學課程大綱

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課程名稱

Course Title ^應用數學

授課教師

Instructor ^呂秀鏞 學年度

Academic year

99 ^學期

Semester 1

課程大綱

教學目標:

介紹在物理及工程上基本所需的數學工具及原理，並應用於實際之物理問題 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:

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. 平時作業及平時考試 30%

2. 期中考試30%

3. 期末考試40%

規定事項：

1. 每2週小考。

2. 曠課超過4次將扣考。