基本素養 Basic Literacy

人文與倫理素養
誠信素養
社會關懷
國際視野

核心能力 Competence

工程領域之專業知識
策劃及執行專題研究之能力
撰寫專業論文之能力
創新思考及獨立解決問題之能力
與不同領域人員協調整合之能力
廣闊之國際視野
領導、管理及規劃的能力
終身自我學習成長之能力

課程概述 Course Description

討論 interpolation及polynomial approximation,線性代數,非線性代數,常微分方程, 常微分方程組,偏微分方程,矩陣的特徵值與特徵向量及有限元素法之解決技巧及誤差
The course presents numerical schemes and discussion for solving mathematical problems: solutions for one-variable equations, Lagrange’s interpolation, Hermite’s interpolation, integral method including Gaussian Quadrature, linear algebra including the eigen-value problems, initial-value problems, boundary-value problems including the Rayleigh-Ritz method, least square approximation including FFT , solutions for nonlinear systems of equations, partial differential equations and finite-element technique.

課程學習目標 Course Objectives

教導如何把已知的數學問題如何轉化成數值計算並應用計算機於執行此任務, 並且建立更有效率及更精準之執行方法

課程進度 Progress Description

進度說明 Progress Description
1Mathematical Preliminaries, solutions of Equations in one variables
2Mathematical Preliminaries, solutions of Equations in one variables
3Interpolation and polynomial approximation, numerical differential and integration
4Interpolation and polynomial approximation, numerical differential and integration
5Initial value problem for ordinary differential equation
6Initial value problem for ordinary differential equation
7Solving linear systems
8Solving linear systems
9第一次考試
10Approximation theory, eigenvalues and eigenvectors
11Approximation theory, eigenvalues and eigenvectors
12Systems of nonlinear equations
13Systems of nonlinear equations
14Boundary value problem for ordinary differential equation
15Partial differential equations and finite element method.
16Partial differential equations and finite element method.
17Partial differential equations and finite element method.
18NA
 以上每週進度教師可依上課情況做適度調整。The schedule may be subject to change.

課程學習融入下列議題或具有下列內涵的程度
Immersing the Following Issues or Contents

議題或內容 Issues or Contents關聯性 Correlation
生命教育 Life Education 無相關 No correlation
服務學習 Service Learning 無相關 No correlation
性別平等 Gender Equity 無相關 No correlation
環境安全 Environmental Safety 無相關 No correlation
環境保護 Environmental Protection 無相關 No correlation
智慧財產權 Intellectual Property 間接相關 Indirect correlation
法治教育 Law-Related Education 無相關 No correlation
人權教育 Human Rights Education 無相關 No correlation

有關課程其他調查 Other Surveys of Courses

1.本課程是否規劃業界教師參與教學或演講? 否
Is there any industry specialist invited in this course? How many times? No
2.本課程是否規劃含校外實習(並非參訪)? 否
Are there any internships involved in the course? How many hours? No