| 課程編碼 Course Code | 中文課程名稱 Course Name (Chinese) | 英文課程名稱 Course Name (English) | 總學分數 Credits | 總時數 Hours |
|---|---|---|---|---|
| 3736034 | 數值方法 | Numerical Methods | 3.0 | 3 |
| 中文概述 Chinese Description | 本課程教授數值分析之基本理論，使學生能夠 (1)撰寫運算程式(2)應用數值方法求解各類型數學問題 內容包括誤差分析、非線性方程式求解（二分法、牛頓法、截線法）、泰勒展開式與Lagrange內差法、高斯消去與LU分解法、非線性系統求解、曲線擬合與富利葉逼近、數值微分與積分、微分方程式求解、最佳化問題求解等 | |||
| 英文概述 English Description | The aim of this course is to introduce basic methods of numerical analysis and to provide the groundwork for the research in the Institute of Industrial Engineering and Management. The objectives guide students to: (1) Write simple program for numerical calculations. (2) Find approximate solutions of various mathematical problems. Course content includes error analysis, solving a nonlinear equation (e.g. bracketing methods for locating a root, Newton-Raphson and secant methods), Taylor series and Lagrange approximation, Gaussian elimination, LU decomposition, Solving nonlinear system, Curve Fitting, Interpolation by spline function, Fourier series and expansion, numerical differentiation & integration, solving differential equations, Minimization of a function, etc. | |||
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