course information of 106 - 1 | 0782 Fundamental Mathematics(基礎數學)

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 my classmates can learn how to use mathematical language and symbols to demonstrate the ability to train logical reasoning and analysis, and how to describe the skills of a complete proof, as well as the concepts of sets, functions, equivalence relations and collective radix. These will be of great help to my classmates in studying other math 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 for the collection function, as well as proof of skills. The part of the collection is to introduce what is the meaning of the collection, the collection and the intersection and the related nature. The content of the function is to introduce what is the meaning of the function, the one-to-one, the mapping function, and the related properties, as well as the notion of cardinality. Proven skills are mainly about how to prove a problem, but also related to the logic of the concept.

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)
Title: A Transition to Advanced Mathematics, 8th Edition
Author: Douglas Smith, Maurice Eggen & Richard St. Andre
Publisher (Year of Publication): CENGAGE Learning (2014)
(Sea Book Agency)

評分方式 Grading

評分項目 Grading Method 配分比例 Grading percentage 說明 Description
Quiz a
Quiz two
Midterm test
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Course Information


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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