基本素養 Basic Literacy

核心能力 Competence

掌握連續與逼進的能力
Ability to handle continuity phenomena and approximations.
處理數字及符號運算的能力
Ability to operate with symbols and digits.
透視形像與空間的能力
Ability to visualize space, shape, and images.
利用計算機處理數學的能力
Ability of using computer to do mathematics.
應用隨機理論的能力
Ability to apply stochastic mathematics.
處理大量數據的能力
Ability to handle large amount of data.
處理離散型數學的能力
Ability to do mathematics relating to discrete models.
獨立研究的能力
Ability to do independent studies of mathematics.
使用計算機的能力
Abilities to use computer as a tool.

課程概述 Course Description

本課程介紹不同類別的數學模型,如線性-非線性、確定性-統計性、靜態-動態、離散-連續、演繹-經驗等。並透過物理科學、生命科學、地球科學以及社會科學等不同領域的例子來協助學生以數學語言及觀念來表達及分析生活中事物,並透過所建立的模型進行比對。
Several types of mathematical models are introduced in this course, for example, linear-nonlinear, deterministic-stochastic, static-dynamics, discrete-continuous, deductive-inductive. Models in different fields such as physics, biology, earth science or social science, are illustrated to train students that how to use mathematical languages to describe the nature and validate the models with experimental results.

課程學習目標 Course Objectives

  • 反應現象的數學建模,穩定性分析,生物競爭模型
  • 傳播現象的數學建模,特徵線法,交通流模型
  • 擴散現象的數學建模,布朗運動,波動利率模型
  • 使用軟體獲得ODE/PDE/SDE的數值解
  • 閱讀延伸主題的書籍論文作為期末報告
  • 課程進度 Progress Description

    進度說明 Progress Description
    1Population Dynamics
    2Population Dynamics
    3Population Dynamics
    4Population Dynamics
    5Population Dynamics
    6Traffic Flows
    7Traffic Flows
    8Traffic Flows
    9Traffic Flows
    10Traffic Flows
    11Brownian Motion
    12Brownian Motion
    13Brownian Motion
    14Brownian Motion
    15Brownian Motion
    16Project Representation
    17Project Representation
    18Project Representation
     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? 否
    Is this course recognized as a Community engagement and Service learning course? Which community will be engaged? No