課  號:HS6017
課程名稱:應用數學方法
     Applied Mathematics Method


必選修別:選修
上課時間:( ) 9-12 am
上課地點:科一館 S-325 教室
授課老師:楊明仁 副教授

授課內容:This course will introduce basic mathematics methods used in atmospheric, oceanic, and hydrological modeling. These applied mathematics methods include vector caculus, ordinary differential equation (ODE), Fourier series, and partial differential equation (PDE). Some common examples in atmospheric and oceanic modeling, such as the shallow water system of equations, will be discussed if time is available.

課程大綱:

1.      Vector caculus (class note)

2.      Coordinate systems (class note)

3.      Surface integral (class note)

4.      Line integral (class note)

5.      Ordinary differential equation (ODE) (class note)

6.      Power-series solution to the ODE (class note)

7.      Fourier series (class note)

8.      Partial differential equation (PDE) (class note)

9.      Shallow water equations (optional)


教科書/參考書

1.   Schey, H. M., 1973: Div, Grad, Curl, and All That—An Informal Text on Vector Calculus. W. W. Norton & Company, 162 pp. (Textbook)

2.   Braun, M., 1984: Differential Equations and Their Applications. Springer-Verlag, 2nd ed., 546 pp. (Textbook)

3.   Kreyszig, E., 1998: Advanced Engineering Mathematics. John Wiley and Sons. 8th edition. 988 pp.

4.   Pedlosky, J., 1987: Geophysical Fluid Dynamics. Springer-Verlag, New York, 2nd edition, 710 pp.

 


授課方式: n講授    n研討
評量方式: Homework (10%), 3 Quiz (30% for each)