| 當期課號 |
2804 |
Course Number |
2804 |
| 授課教師 |
程大川 |
Instructor |
Cheng,Da Chuan |
| 中文課名 |
數值方法 |
Course Name |
Numerical Methods |
| 開課單位 |
資訊工程系(四日)二A |
Department |
|
| 修習別 |
選修 |
Required/Elective |
Elective |
| 學分數 |
3 |
Credits |
3 |
| 課程目標 |
這門課的目標是提供學生數值方法的知識，主題包括：數值方法簡介、數值解與可析解的差異、數值方法的誤差與精確度、各種問題求解的數值方法。在完成這門課之後，學生將可以學習到下面幾點：1.瞭解數值解與可析解；2.瞭解Roots of Equations的數值方法；3.瞭解Linear Algebra Equations 的數值方法；4.瞭解Curve Fitting數值方法。 |
Objectives |
The goal of this course is to provide students with a basic knowledge of the Numerical Methods. The main topics include Numerical Methods introduction, Numerical and Analytical solutions, Error and accuracy of Numerical methods, and Various important NUmerical methods. Students will realize the following backgrounds of this course after completing the course: 1. The difference of Numerical and Analytical solutions; 2. The numerical methods for Roots of Equations; 3. The numerical methods for Linear Algebra Equations ; 4. The numerical methods for Curve Fitting. |
| 教材 |
應用數值方法
譯者﹕王晉中 |
Teaching Materials |
Applied numerical methods with matlab for engineering and scientists |
| 成績評量方式 |
心得報告+作業﹕30%
期中考﹕30%
期末考﹕30%
出席﹕10% |
Grading |
Honework, report: 30%
Midterm exam: 30%
Final exam: 30%
Presence: 10% |
| 教師網頁 |
|
| 教學內容 |
本課程的介紹
MATLAB基本簡介
MATLAB基本程式設計
MATLAB進階程式設計
四捨五入與截斷誤差
方程式的根﹕包圍法
方程式的根﹕開放法
線性代數方程式與矩陣
高斯消去法
LU分解
反矩陣與矩陣條件
方程式系統的迭代方法
曲線匹配 |
Syllabus |
Introduction to this lecture
Basic introduction to MATLAB
Basic programming using MATLAB
Advanced programming using MATLAB
Round-off and truncation errors
Roots of equations: bracketing methods
Roots of equations: open methods
Linear algebraic equations and metrics
Gauss elimination
LU decomposition
matrix inverse and condition
Iterative methods for systems of equations
Curve fitting: fitting a straight line |