## 基本素養 Basic Literacy

Quality of humanism and ethics.

Integrity.

Care for society.

Global vision.

## 核心能力 Competence

Professional knowledge in engineering field.

Plan and execute case study.

Write professional essays.

Creative thinking and independent problem-solving ability.

Integration and negotiation with other fields’ experts.

Wide global vision.

Leadership, management, arrangement ability.

Lifelong self-learning ability.

## 課程概述 Course Description

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。
• 訓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
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.

## 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