| 當期課號 | 7470 | Course Number | 7470 |
|---|---|---|---|
| 授課教師 | 許志宇 | Instructor | HSU,CHIH YU |
| 中文課名 | 數值分析 | Course Name | Numerical Analysis |
| 開課單位 | 資訊與通訊系碩士班一A | Department | |
| 修習別 | 選修 | Required/Elective | Elective |
| 學分數 | 3 | Credits | 3 |
| 課程目標 | 數值分析就是介紹如何用電腦來解決數學問題, 從數學的理論與背景推導出解決該問題的各種數值方法, 並探討不同方法之優缺點和適用範圍. 更進一步要求同學寫成程式來做數值實驗, 以評比不同的數值方法. 這是一門數學理論與程式設計並重的課程. | Objectives | This course responds to the needs of the engineering and physical sciences curricula by providing an applications-oriented introduction to numerical methods/analysis. Rather than a pure discussion and analysis of methods, we shall often integrate a discussion of the properties of engineering and physical problems with the discussion of methods by which such problems may be solved numerically. This approach is more “natural”and more like the one students actually follow when applying numerical methods within their areas of interest. Topics in function approximation, nonlinear equations, interpolation, numerical integration and differentiation, and numerical solution of ordinary differential equations will be similarly treated. The discussion of approximate arithmetic and error propagation will also arise in a natural way. |
| 教材 | 課堂授課及數值計算實作 參考書籍 1. Applied Numerical Methods Using MATLAB Published Online: 27 Jan 2005 Editor(s): Yang Author(s): Won Young Yang, Wenwu Cao, Tae-Sang Chung, John Morris 2.程式語言與設計－使用Matlab. 作者：許志宇、楊志弘、鄒奇軒; 出版社：博碩; ISBN： 9789575279493 |
Teaching Materials | Notes and homework practices |
| 成績評量方式 | 作業 40% 小考2次 20%期末考 20% 期中考 20% | Grading | Homeworks 40% Quizzes 20% Midterm 20% Final 20% |
| 教師網頁 | http://nc.ctl.cyut.edu.tw/xms/ | ||
| 教學內容 | 1.讓同學學習以數值方式解決問題 2.讓同學考慮運用數值方法時所產生的誤差 內容將包括 Matlab數值軟體簡介 誤差與Taylor級數 ROOT FINDING(尋根) 插值公式 LINEAR及NONLINEAR SYSTEM解法 數值積分差分公式 ODE(視時間而定)等的解法數值 習作以Matlab數值軟體為主。 |
Syllabus | Let students learn how to solve a problem numerically, that is, how to develop a sequence of numerical calculations that will give a satisfactory answer. Let students consider errors that arise in these calculations. The topics covered include Errors, Taylor series, Root finding, solving Linear and nonlinear equations, numerical integration and difference, ODE, etc. |