基本素養 Basic Literacy

核心能力 Competence

船舶或機電系統工程的高階專業知識與創新之能力。
High level professional knowledge & creativeness for naval or mechatronic engineering.
策劃、執行專題研究及呈現研究成果之能力。
Administer and make plans for case study & present the research results.
撰寫專業論文的能力。
Writing professional papers.
創新思考及獨立解決問題的能力。
Innovative thinking and independent problem solving.
跨領域協調整合之能力。
Multidisciplinary teamwork.
良好的國際觀。
Well international outlook.
管理、規劃及領導的能力。
Management, planning and leadership.
持續自我學習成長的能力。
Continuous learning self.

課程概述 Course Description

在此課程中,我們將介紹用於動態系統分析的基礎數學工具。主要的議題涵蓋了實數系統、實數序列、實函數分析等議題。此課程對於工程背景且欲研究動態系統及控制理論之學生極其重要。
In this course, we shall introduce elementary mathematical tools for analysis of dynamical systems. Topics to be covered include the real number system, sequences in real numbers, real analysis, etc. This course is significantly important for engineering students concerned with the research topics of dynamical systems and/or control theory.

課程學習目標 Course Objectives

  • Basic concepts of elementary mathematical analysis
  • Several advanced topics in mathematical analysis
  • Some important mathematical tools for analyzing dynamic systems
  • 課程進度 Progress Description

    進度說明 Progress Description
    1Introduction
    2The Real Number System
    3The Real Number System
    4Sequences in R
    5Sequences in R
    6Functions on R
    7Functions on R
    8Differentiability on R
    9Differentiability on R
    10Differentiability on R
    11Integrability on R
    12Integrability on R
    13Integrability on R
    14Infinite Series of Real Numbers
    15Infinite Series of Real Numbers
    16Infinite Series of Functions
    17Infinite Series of Functions
    18Infinite Series of Functions
     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?
    Is there any industry specialist invited in this course? How many times?
    2.本課程是否規劃含校外實習(並非參訪)?
    Are there any internships involved in the course? How many hours?
    3.本課程是否可歸認為學術倫理課程?
    Is this course recognized as an academic ethics course? In the course how many hours are regarding academic ethics topics?
    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?