教學大綱表 Syllabus
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課程名稱
Course Title
(中文) 數值方法
(英文) Numerical Method
開課單位
Departments
化學工程與生物科技學系
課程代碼
Course No.
C4990
授課教師
Instructor
陳泰祥
學分數
Credit
3.0 必/選修
core required/optional
選修 開課年級
Level
大三
先修科目或先備能力Course Pre-requisites:微積分、工程數學、程式語言、Excel軟體使用
課程概述與目標 Course Overview and Goals: 教導同學利用數值方法解決工程領域常見之數學問題,包括:微分,積分,線性及非線性方程式,常微分方程式,簡單篇為分方程式及最小平方法等.
本課程除介紹各種數值方法外,並注重誤差之判斷,邏輯能力訓練及程式之撰寫能力.
教科書
Textbook
1.Chapra and Canale, "Numerical Methods for Engineers," 7/e, McGraw-Hill, 2015
參考教材
Reference
(1) Bilal M. Ayyub, Richard H. McCuen, “Numerical Methods for Engineers,” Prentice Hall.
(2) J. N. Sharma, “Numerical Methods for Engineers And Scientists,” Alpha Science International.
課程大綱
Syllabus
學生學習目標
Learning Objectives
單元學習活動
Learning Activities
學習成效評量
Evaluation
備註
Notes

Week
單元主題
Unit topic
內容綱要
Content summary
1 Review of Programming and Software 1. Applied software
2. Excel
3. C++ programming
4. Sigmaplot
1. Applied software
2. Excel
3. C++ programming
4. Sigmaplot
 
2 Review of Programming and Software 1. Applied software
2. Excel
3. C++ programming
4. Sigmaplot
1. Applied software
2. Excel
3. C++ programming
4. Sigmaplot
 
3 Errors, Round-Off & Truncation errors 1.Error analysis
2.Significant figures
3.Round-off errors
4.Truncation errors
1.Error analysis
2.Significant figures
3.Round-off errors
4.Truncation errors
  • 作業 Assignment
  •  
    4 Errors, Round-Off & Truncation errors 1.Error analysis
    2.Significant figures
    3.Round-off errors
    4.Truncation errors
    1.Error analysis
    2.Significant figures
    3.Round-off errors
    4.Truncation errors
     
    5 Roots of Equations 1.Graphical method
    2.Bisection method
    3.Newton method
    1.Graphical method
    2.Bisection method
    3.Newton method
  • 作業 Assignment
  •  
    6 Roots of Equations 1.Graphical method
    2.Bisection method
    3.Newton method
    1.Graphical method
    2.Bisection method
    3.Newton method
     
    7 Roots of Equations 1.Graphical method
    2.Bisection method
    3.Newton method
    1.Graphical method
    2.Bisection method
    3.Newton method
     
    8 Linear Equations 1.Matrix inversion
    2.Gauss Elimination
    3.Special matrices
    1.Matrix inversion
    2.Gauss Elimination
    3.Special matrices
  • 上機測驗 Examination on Computer Operation
  • 作業 Assignment
  •  
    9 期中考 期中考 期中考
  • 期中考 Midterm
  • 期中考 3 hr  
    10 Numerical Differentiation 1.Difference method
    2.High accuracy differentiation formula
    1.Difference method
    2.High accuracy differentiation formula
     
    11 Numerical Differentiation 1.Difference method
    2.High accuracy differentiation formula
    1.Difference method
    2.High accuracy differentiation formula
  • 作業 Assignment
  •  
    12 Numerical Differentiation 1.Difference method
    2.High accuracy differentiation formula
    1.Difference method
    2.High accuracy differentiation formula
     
    13 Numerical Integration 1. Trapezoidal rule
    2. Simpson’s rule
    3. Romberg integration
    1. Trapezoidal rule
    2. Simpson’s rule
    3. Romberg integration
  • 作業 Assignment
  •  
    14 Numerical Integration 1. Trapezoidal rule
    2. Simpson’s rule
    3. Romberg integration
    1. Trapezoidal rule
    2. Simpson’s rule
    3. Romberg integration
     
    15 Numerical Method for ODE 1.Euler's method
    2.Runge-Kutta method
    3.Shooting method for BVP
    1.Euler's method
    2.Runge-Kutta method
    3.Shooting method for BVP
  • 作業 Assignment
  •  
    16 Numerical Method for ODE 1.Euler's method
    2.Runge-Kutta method
    3.Shooting method for BVP
    1.Euler's method
    2.Runge-Kutta method
    3.Shooting method for BVP
  • 作業 Assignment
  •  
    17 Numerical Method for PDE 1.Difference method for PDE
    2.Transfer PDE to ODE system
    1.Difference method for PDE
    2.Transfer PDE to ODE system
  • 上機測驗 Examination on Computer Operation
  • 作業 Assignment
  •  
    18 期末考 期末考 期末考
  • 期末考 Final Exam
  •  

    教學要點概述 Overview of Teaching Points:
    教材編選 Teaching Materials: ■ 自編教材 Handout by Instructor ■ 教科書作者提供 Textbook
    評量方法 Evaluation: 期末考 Final Exam:20%   期中考 Midterm:20%   上機測驗 Examination on Computer Operation:20%   作業 Assignment:40%  
    教學資源 Teaching Resources: □ 教材電子檔 Soft Copy of the Handout or the Textbook ■ 課程網站 Website
    課程網站:網路硬碟2 社群分享 C4990
    扣考規定 The rule of being able to take the final exam of the course:http://eboard.ttu.edu.tw/ttuwebpost/showcontent-news.php?id=504