| 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 |
|---|---|---|---|---|
| C103011 | 工程數值方法 | Numerical Methods for Engineers | 3.0 | 3 |
| 中文概述 Chinese Description | 本課程介紹工程與科學計算常用的數值方法,並使用 MATLAB 實作。內容包括:浮點數與數值誤差、非線性方程式求根(二分法、牛頓法、割線法)、線性與非線性方程組求解(高斯消去法、LU 分解)、數值積分與內插、常微分方程數值解(Euler 法、Runge-Kutta 法),以及偏微分方程的有限差分法。課程以程式作業和專題練習為主,讓學生具備用數值方法分析與解決工程問題的能力。 | |||
| 英文概述 English Description | This course introduces numerical methods commonly used in engineering and scientific computing, with implementation in MATLAB. Topics include floating-point numbers and numerical error, root finding for nonlinear equations (bisection, Newton’s and secant methods), solving linear and nonlinear systems (Gaussian elimination, LU decomposition), numerical integration and interpolation, numerical solution of ordinary differential equations (Euler and Runge-Kutta methods), and finite difference methods for partial differential equations. Through programming assignments and projects, students learn to analyze and solve engineering problems numerically. | |||
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