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

本課程的目的是要培養學生以數學方法來思考,並且能了解並且創造數學證明。此課程將幫助學生發展對嚴謹的證明的分析及寫作能力。
This course provides a fundamental foundation for working with advanced mathematics. In order to achieve advanced mathematics course, precise language and methodology must be used.

課程學習目標 Course Objectives

  • 集合概念
  • 邏輯與證明
  • 關係與函數
  • 課程進度 Progress Description

    進度說明 Progress Description
    1Introduction and notation
    2Logic and quantifiers
    3Proof techniques I
    4Proof techniques I
    5Sets
    6Sets
    7Proof techniques II
    8Proof techniques II
    9期中考
    10Relations and functions
    11Relations and functions
    12Relations and functions
    13Proof techniques III
    14Proof techniques III
    15Cardinality
    169 Proof techniques IV
    179 Proof techniques IV
    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? 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

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    2021f IntroMath.pdf