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.
□ 國際視野
Global vision.
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.
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
課程進度 Progress Description
| 進度說明 Progress Description | |
|---|---|
| 1 | Mathematical Preliminaries, solutions of Equations in one variables |
| 2 | Mathematical Preliminaries, solutions of Equations in one variables |
| 3 | Interpolation and polynomial approximation, numerical differential and integration |
| 4 | Interpolation and polynomial approximation, numerical differential and integration |
| 5 | Initial value problem for ordinary differential equation |
| 6 | Initial value problem for ordinary differential equation |
| 7 | Solving linear systems |
| 8 | Solving linear systems |
| 9 | 第一次考試 |
| 10 | Approximation theory, eigenvalues and eigenvectors |
| 11 | Approximation theory, eigenvalues and eigenvectors |
| 12 | Systems of nonlinear equations |
| 13 | Systems of nonlinear equations |
| 14 | Boundary value problem for ordinary differential equation |
| 15 | Partial differential equations and finite element method. |
| 16 | Partial differential equations and finite element method. |
| 17 | Partial differential equations and finite element method. |
| 18 | NA |
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