107年第2學期-0789 數值分析 課程資訊

課程分享

選課分析

本課程名額為 70人,已有30人選讀,尚餘名額40人。

評分方式

評分項目 配分比例 說明
Quizs & Exams 50 Quizs, midterm, Final Exam
Projects (computer assignment) 30 Two Projects
Performances 20 上課表現與助教課

授課教師

黃皇男

教育目標

To introduce modern approximation techniques; to explain how, why, and when they can be expected to work; and to provide a foundation for further study of scientific computing.

課程概述

課程概述 Round-off error; algorithms and convergence; the bisection method; the fixed-point iteration; the Newton method; accelerating convergence; the Muller method; Lagrange interpolation; Newton divided differences; Hermite interpolation; cubic spline interpolation; numerical differentiation; Richardson extrapolation; numerical integration; composite numerical integration; Romberg integration; Gaussian quadrature; adaptive quadrature method; initial value problem; the Euler method; higher-order Taylor method; the Runge-Kutta methods and so on.

課程資訊

參考書目

R.L. Burden, J.D. Faires and A.M. Burden , Numerical Analysis, 10th edition, Brooks/Cole-Cengage Learning, 2016

J.D. Faires, R.L. Burden, Numerical Methods, 4th edition, Brooks/Cole-Cengage Learning, 2013