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

本門課程是設計給高年級數學系的學生或主修統計且具有清晰邏輯思考數學背景的學生。這門課透過扎實的訓練學習,提升學生關於機率與數理統計的介紹與理解。
This course is designed for advanced seniors in mathematics or statistics with strong mathematical backgrounds. This course is aimed to provide a solid and well-balanced introduction to probability and mathematical statistics.

課程學習目標 Course Objectives

  • provide a solid and well-balanced introduction to probability
  • provide a solid and well-balanced introduction to Statistics
  • go on to take advanced-level courses in Statistics
  • 課程進度 Course Outline

    週次 Week進度說明 Progress Description
    1Some Elementary Statistical Inferences
    2Some Elementary Statistical Inferences
    3Some Elementary Statistical Inferences
    4 Consistency and Limiting Distributions
    5 Consistency and Limiting Distributions
    6 Consistency and Limiting Distributions
    7Maximum Likelihood Methods
    8Maximum Likelihood Methods
    9Maximum Likelihood Methods
    10 Sufficiency
    11 Sufficiency
    12 Sufficiency
    13Optimal Tests of Hypotheses
    14Optimal Tests of Hypotheses
    15Optimal Tests of Hypotheses
    16Inference about Normal Models
    17Inference about Normal Models
    18Inference about Normal Models
     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?
    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?

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