課程大綱及進度表
開課系所 數學三
開課學年 98
開課學期 1
課程名稱(中文) 數值分析導論
課程名稱（英文） INTRODUCTION TO NUMERICAL ANALYSIS
課程碼 C133900
分班碼
先修科目或先備能力 微積分
學分數 3
開課教師 侯世章
e-mail schou@mail.ncku.edu.tw
電話 65139
Office Hours 略
課程概述 介紹一些數值分析的基本概念，並 強調 Matlab 程式寫作。
教學目標 期能對數值方法有基本的認識，並 對 Matlab 有初步的了解。
授課課程大綱明細
• Matlab 簡介與實作• Floating Point Numbers
• Root Finding
o Bisection Method o Newton’s Method o Secant Method o Fix point Method
• Interpolation and Approximation
o Polynomial Interpolation o Error in Polynomial
Interpolation o Spine Functions
o The Best Approximation o Chebyshev Polynomials o A Near-Minimax
Approximation
o Least Square Approximation
• Numerial Integration and Differentiation
o The Trapzoidal and Simpson’s Rule o Error Formulas o Gaussian Numerical
Integration
o Numerical Differentiation
• Solution of Linear Equations
o Matrix Arithematics o Gaussian Elimination o The LU Factorization o Error in Solving Linear
Systerms
o Iteration Methods
• Numerical Linear Alegebra
o Least Square Data Fitting o The Eigenvalue Problem o Nonlinear System
• Ordinary Differential Equation o Introduction
o Euler’s Method
o Convergence Analysis of Euler’s Method
o Taylor and Runge-Kutta Methods
o Multistep Methods o System of Differential
Equations
o Finite Differece Method for Two-Point Boundary Value Problems
參考書目
Elementary Numerical Analysis ，byAtkinson and Han
Numerical Analysis, by Kincaid and Cheney
