工程分析 (Engineering Analysis)
一、 授課老師：洪昇利
二、 課程學分：三學分
三、 教學目標： 訓練學生對數學軟體的靈活運用，並學習建立數學模式
四、 授課範圍： ODE and PDE by Maple and Matlab , Statistics by Excel
五、 課程綱要：
Some Kinds of CAS: Maple, Matlab , Mathcad , Mathematica
ODE: Ordinary Differential Equations
Models: Exponential Growth and Decay, Logistic Models, Mixing Tanks, Newton 's Law of Heating or Cooling, Springs & Things
Methods: Integrating Factor, Variation of Parameters, Laplace Transform, Numeric Solutions, Series Solutions
Matrix Exponential for the First-Order System
PDE: Partial Differential Equations
Models: Wave Equation, Heat Equation, Laplace 's Equation
Methods: Separation of Variables, Finite-Difference Solutions, Laplace Transform, Fourier Transform
Least-Square, Rayleigh -Ritz, Galerkin , Collocation Techniques
Euler-Lagrange Equation
Do Statistics using Excel
六、 參考資料：
1. Lopez, R. J., 2001, Advanced Engineering Mathematics, 2 nd ed., Addison-Wesley.
2. Zill , C., 2000, Advanced Engineering Mathematics, 2 nd ed., Jones-Bartlett.
3. Char, B. W., 2003, Maple 9 Learning Guide, Maplesoft , a division of Waterloo Maple Inc.
4. 馬秀蘭。 2003 。統計學 --- 以 Microsoft Excel 為例。文京圖書。
七、 成績考核：
期中考 20% 平常作業 30% 期末報告 30% 期末考 20%