基本素養 Basic Literacy

人文素養
學生應具有憐憫、尊重、關懷、及服務他人的團隊精神之素養。
Humanism quality
公民素養
學應有以人為主體的理念,具有主動、積極及參與社會之精神,並運用相關知識解決問題的能力。
Civic virtue
社會關懷
學生能對社會展現高度的關心及積極參與社會活動,瞭解專業倫理規範及社會不同層面之需求。
Social care
國際視野
學生應具備放眼國際之軟實力,並將其扎根本土;能了解當前國際物理治療教育與實務之發展。
International vision

核心能力 Competence

專業與跨領域能力
學生能瞭解專業理論及其臨床問題,並能正確熟練地執行各項專業技術,同時具備跨領域學習能力。
Professional and transdisciplinary abilities
專業素養
學生能瞭解專業倫理規範並能於臨床過程中實踐,能瞭解專業價值並建立專業歸屬感。
Professionalism
思考與判斷能力
具備臨床決策能力、實證醫學的觀念、運用專業理論及技術解決臨床問題的能力。
Thinking and judgement abilities
語言與溝通能力
良好的英文聽寫能力。具備與他人溝通之能力、並能將專業的語言轉換成個案理解的語言之能力。
Language and communication abilities
專業創新與終身學習的能力
學生應具備專業創新及獲取新知的能力、並體認終身學習的重要。
Professional innovation and lifelong learning abilities

課程概述 Course Description

本課程以極限的觀念為基礎,建立微分與積分的運算並以之探討實函數之局部性質與整體行徑。
Based on the concept of limit, we discuss both differential calculus and integral calculus. These will be used as tools to discuss the local and global behavior of real-valued functions.

課程學習目標 Course Objectives

  • 微積分基礎知識: 變化率、極限、微分、積分、泰勒展開式、機率與統計
  • 微積分的應用: 微分方程式的數學建模與應用
  • 抽象思維與批判性思考能力訓練
  • 課程進度 Progress Description

    進度說明 Progress Description
    1Functions: polynomials; power functions; Trigonometrical functions; Exp-Log
    2Transformation of functions; composite functions; Exponential deay and log-log plot
    3Sequences and difference equations for discrete modles of dynamic systems
    4Limits
    5Monod Growth function; limit at infinity; symptotical lines
    6Limit laws and continuity
    7Derivatives and rate of changes, differential laws
    8Product rule; chain rule
    9Implicit differentiation
    10First derivative test and second derivative test for extrema
    11monotonicity and concavity; optimization with calculus
    12Equilibria and stability
    13Antiderivative and indefinite integrals; definite integrals
    14Fundamental Theorem of Calculus, Substitution rule, Integration by parts, improper integrals
    15Applications of Ingtegration: areas, arc length, flow, average
    16Further Application in Biology (第六章結束); Modeling with differnetial equations (7.1)
    17Phase plots, equilibria and stability(7.2), direction field (7.3)
    18期末考
     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?