基本素養 Basic Literacy

培養兼具本土及國際宏觀之人才。
Cultivate both local and broad global vision experts.

核心能力 Competence

思考分析,解決問題的能力
Thinking, analysis and problem-solving.
研究導向,探尋化學新知能力
Research-related, explore new chemistry knowledge.
增進外文能力
Foreign languages.
在團隊中達成有效溝通、合作領導之能力
Communication, cooperation and leadership on the team.
有機化學能力
Organic chemistry
物理化學能力
Physical chemistry
分析化學能力
Analytical chemistry
無機化學能力
Inorganic chemistry
化學實驗能力
Chemistry experiment
化學生物能力
Biochemistry
材料化學能力
Material chemistry

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

  • 單變數函數的微分
  • 單變數函數的積分
  • 微分與積分的應用
  • 課程進度 Progress Description

    進度說明 Progress Description
    1Functions and Limits
    2Countinuity, Derivatives
    3Differentiation rules
    4Implicit differentiation and antiderivatives
    5Exponential/ Logarithmic functions
    6Inverse Trigonometric functions
    7Applications of differentiation: graphing techniques
    8Applications of differentiation: linear approximations and Taylor polynomials
    9Midterm Exam(Nov. 10th)
    10Definition of Integrations
    11Fundamental theorem of calculus
    12Integration by parts, integrals of rational functions
    13Inverse substitutions, Improper integrals
    14Trapezoid, Midpoint, and Simpson's rules
    15Applications of Integration: volumes, arc length and surface area
    16Applications of Integration: some physical examples
    17Applications of Integration: probability, differential equations
    18Final Exam(Jan. 12th)
     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? 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?
    Is this course recognized as a Community engagement and Service learning course? Which community will be engaged?