基本素養 Basic Literacy

人文與倫理素養
Quality of humanism and ethics.
誠信素養
Integrity.
社會關懷
Care for society.

核心能力 Competence

工程領域之專業知識
Professional knowledge in engineering field.
策劃及執行專題研究之能力
Plan and execute case study.
撰寫專業論文之能力
Write professional essays.
創新思考及獨立解決問題之能力
Creative thinking and independent problem-solving ability.
與不同領域人員協調整合之能力
Integration and negotiation with other fields’ experts.
廣闊之國際視野
Wide global vision.
領導、管理及規劃的能力
Leadership, management, arrangement ability.
終身自我學習成長之能力
Lifelong self-learning ability.
國際視野
Global vision.

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任務
  • 讓學生建立更有效率及更精準之工程分析執行方法
  • 練學生獨立思考與研究的能力
  • 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
    3 Interpolation 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.
    17期末討論報告
    18期末討論報告
     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.

    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
    3.本課程是否可歸認為學術倫理課程? 否
    Is this course recognized as an academic ethics course? In the course how many hours are regarding academic ethics topics? No
    4.本課程是否屬進入社區實踐課程?
    Is this course recognized as a Community engagement and Service learning course? Which community will be engaged?