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0782 - 基礎數學 Fundamental Mathematics


教育目標 Course Target

希望同學能藉由此課程學會如何用數學的語言與符號來論證,訓練邏輯推理與分析的能力,與如何敘述一個完整證明的技巧,以及集合、函數、等價關係與集合基數的概念,學會這些對於同學日後學習其他數學專業科目將有很大的幫助。I hope that students can learn how to use mathematical language and symbols to demonstrate the ability to train logical reasoning and analysis, how to describe a complete proof technique, and the concepts of sets, functions, equivalence relations and set bases. These will be of great help to students studying other mathematics majors in the future.


課程概述 Course Description

主要內容為集合函數,以及證明的技巧。 集合部份為介紹什麼是集合、聯集與交集的意思及相關的性質。 函數的內容為介紹什麼是函數、一對一、映成函數的意思及相關的性質,也介紹基數(cardinality)的觀念。 證明的技巧主要是講述如何證明一個問題,也會提及相關的邏輯觀念。
The main content is the aggregate function, as well as the techniques of proof. The collection part is to introduce what is the meaning of collection, union and intersection and related properties. The content of the function is to introduce what is a function, one-to-one, the meaning of the mapping function and related properties, and also introduce the concept of cardinality. The technique of proof is mainly about how to prove a problem and also the related logical concepts.


參考書目 Reference Books

書名: A Transition to Advanced Mathematics, 8th Edition
作者: Douglas Smith, Maurice Eggen & Richard St. Andre
出版商(出版年):CENGAGE Learning (2014)
(滄海書局代理)
Title: A Transition to Advanced Mathematics, 8th Edition
Author: Douglas Smith, Maurice Eggen & Richard St. Andre
Publisher (published year): CENGAGE Learning (2014)
(沧海书局代理)


評分方式 Grading

評分項目 Grading Method 配分比例 Grading percentage 說明 Description
小考一小考一
Xiao Kaoyi
15
小考二小考二
Small test two
15
期中考期中考
Midterm exam
25
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Course Information

Description

學分 Credit:3-0
上課時間 Course Time:Monday/8,9,Wednesday/3,4[ST520]
授課教師 Teacher:陳文豪
修課班級 Class:應數系1
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There're now 61 person in the class.
目前選課人數為 61 人。

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