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 序No. 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 上機實習講授 2 Review of Programming and Software 1. Applied software 2. Excel 3. C++ programming 4. Matlab 1. Applied software 2. Excel 3. C++ programming 4. Matlab 上機實習演講 作業 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 上機實習講授 4 Roots of Equations 1.Graphical method 2.Bisection method 3.Newton method 1.Graphical method 2.Bisection method 3.Newton method 上機實習講授 作業 5 Roots of Equations 1.Graphical method 2.Bisection method 3.Newton method 1.Graphical method 2.Bisection method 3.Newton method 上機實習講授 6 Roots of Equations 1.Graphical method 2.Bisection method 3.Newton method 1.Graphical method 2.Bisection method 3.Newton method 上機實習講授 作業 7 Linear Equations 1.Matrix inversion 2.Gauss Elimination 3.Special matrices 1.Matrix inversion 2.Gauss Elimination 3.Special matrices 上機實習講授 8 期中考 期中考 期中考 實作 期中考 期中考 3 hr 9 Numerical Differentiation 1.Difference method 2.High accuracy differentiation formula 1.Difference method 2.High accuracy differentiation formula 上機實習講授 10 Numerical Differentiation 1.Difference method 2.High accuracy differentiation formula 1.Difference method 2.High accuracy differentiation formula 上機實習講授 作業 11 Numerical Integration 1. Trapezoidal rule 2. Simpson’s rule 3. Romberg integration 1. Trapezoidal rule 2. Simpson’s rule 3. Romberg integration 上機實習講授 12 Numerical Integration 1. Trapezoidal rule 2. Simpson’s rule 3. Romberg integration 1. Trapezoidal rule 2. Simpson’s rule 3. Romberg integration 上機實習講授 作業 13 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 上機實習演講 14 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 上機實習講授 作業 15 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 上機實習討論 16 期末考 期末考 期末考 期末考 期末考 3 hr

 序No. 實施期間Period 實施方式Content 教學說明Teaching instructions 彈性教學評量方式Evaluation 備註Notes 1 起:2024-01-02 迄:2024-01-12 3.實作 Practical class 以化工與生技實際之問題，例如輸送單超或化熱化動等課程，需要以一種以上之數值方法才能求解之題目，使同學結合數值方法與化工生技之專業問題求解。 以同學完成解決問題之完整性以及正確性作為評量 1.獨立完成或小組合作完成列入考核 2.使用軟體之熟練度與妥適性列入考核

 教學要點概述： 教材編選(Teaching Materials)： ■ 1-1.簡報 Slids □ 1-2.影音教材 Videos □ 1-3.教具 Teaching Aids ■ 1-4.教科書 Textbook Slids □ 1-5.其他 Other □ 2.自編評量工具/量表 Educational Assessment □ 3.教科書作者提供 Textbook 成績考核 Performance Evaluation： 期末考：30%   期中考：30%   彈性教學：10%   作業：30%   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(Website)：網路硬碟3 社群分享 C4990; 網路大學 扣考規定：http://eboard.ttu.edu.tw/ttuwebpost/showcontent-news.php?id=504