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. Series solutions of differential equations , Special functions 4. Laplace transforms
第二學期
1. Fourier analysis and partial differential equations 2. Partial differential equations
3. Complex number and functions 4. Complex integration
5. Power series, Taylor series
6. 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. 每兩週小考一次,隨時跟上進度。
2. 曠課超過 4 次將扣考。