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

向量分析源起於電磁學,發展至今已被廣泛利用於自然科學與應用科技上,例如流體力學、 向量可說是力學的自然語言。這門課的內容涵蓋向量分析的基本知識與應用,以多變數的微積分為重點,特別介紹梯度,散度與旋度的概念以及三個重要的積分定理:Green定理,高斯散度定理及Stokes定理。
This course focus on the multi-variable calculus. In particular, the concept of the concept of Div, Grad, Curl, and three great integration theorems (Green’s theorem, the divergence theorem, and Stokes’s theorem) will be well introduced.

課程學習目標 Course Objectives

  • Exterior algebra and Exterior differentials
  • Higher dimensional parametrized surfaces and Stokes' theorem
  • de Rhom cohomology
  • 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