http://desc.ithu.tw/112/1/1035
1035線性代數 115/04/18 21:14:08
112學年第一學期東海大學教師授課計劃表
Course Plan of Tunghai University
一、課程基本資料 Course Information
開課系所
Department
(日)資工系Department of Computer Science
課程名稱
Course Title
中文 (Chinese) : 線性代數
英文 (English) : Linear Algebra
必選修類別
Required/Elective
必修Required 先修課程
Prerequisites
學分數
Credits
3 - 0
先修課程說明
Prerequisites instruction
課程概述
(系所共同性目標)
Course Description
本課程描述說明線性代數最主要的工具---矩陣,其性質與各種應用,包括:線性聯立方程式之求解;行列式特性與應用;Rn中的線性轉移;廣義向量空間的各種性質及其與矩陣相關的特性、應用;矩陣固有值、固有向量與對角線化的問題與應用。
本課程是否為
英語授課(Taught in English)
否(No)
本課程是否為
遠距教學課程
Is this a Distance Learning course?
否(No)
二、教師相關資料 Instruction Information
授課教師資料Instructor Information
授課教師
Instructor
黃宜豊 / yifung@thu.edu.tw /
行動電話Mobile Phone 常用聯絡方式Contact Information yifung@thu.edu.tw
上課時間、地點
Class Time And Classroom
三/2,3,4[HT007]
晤談時間、地點
Office Hours And Classroom
時間:

星期一 14:10 ~ 16:00
星期三 14:10 ~ 16:00
星期五 14:10 ~ 16:00

地點: ST326
三、課程大綱 Course Outline (本課程大綱教師得依實際教學進度及學生學習情況進行調整)
■  課程目標及內涵 (Course Objectives and Contents)
借由課程中抽象觀念的建立、定理的陳述分析、計算問題的解題方法、証明過程的邏輯思考與推演的訓練,暨應用題目的演練,使學生的理解、分析、組織、歸納、關聯、推演與應用等能力得以提昇,更進而培養學生獨立思考、解決問題的能力。
1. Systems of Linear Equations and Matrices
2. Determinants
3. Euclidean Vector Spaces
4. General Vector Spaces
5. Eigenvalues and Eigenvectors
6. Linear Transformations
■  總結式課程目標 Summary of Course Objectives

  課程目標
Assessment Item
1 了解並熟悉Systems of Linear Equations and Matrices及其相關之應用
2 了解並熟悉 Determinants 及其相關之應用
3 了解並熟悉Euclidean Vector Spaces及其相關之應用
4 了解並熟悉 General Vector Spaces 及其相關之應用
5 了解並熟悉Eigenvalues and Eigenvectors 及其相關之應用
6 了解並熟悉 Linear Transformations及其相關之應用
■  多元教學方式 (Muliti-Teaching Methods)
說明:除了課堂講授與考試測驗之外,本課程在學期中可能會運用到以下哪些教學方式,以期能進一步提升學生學習成效
Direction: In addition to course teaching and regular exams, which of the following methods may also be used to promote students’ learning outcome
1.配合使用數位教學平台(tMoodle)、愛學網(iLearn)Incorporation with digital learning platform (Moodle) or with other multimedia instruction
2.其他:課堂授課時,會隨機抽點學生回答授課內容及其相關延伸問題,如此可以增加與學生互動,並提高學生的專注學習。
■  主要參考書籍/資料 (Textbooks and References) (教科書遵守智慧財產權觀念不得非法影印)
教科書: Elementary Linear Algebra Applications Version(12th); Anton, Rorres; 滄海書局

參考書:

1. Linear Algebra(4th): Friedberg, Insel, Spence; 新月圖書

2. Elementary Linear Algebra with Application(2nd); Nicholson; 新月圖書

3. Introduction to Linear Algebra; O' Neil; 華泰書局
■  本課程是否有使用原文書 Does This Curriculum Use the Original Textbook (English)
是(Yes)
■  教學進度(Course Schedule) - 18週次(Weeks)
週次
Week
日期
Date
授課
方式
內容主題
Course Topics and Contents

指定閱讀資料
Course Reading Materials
1 112/09/10 ~ 112/09/16 面授In-person classes Systems of Linear Equations and Matrices
2 112/09/17 ~ 112/09/23 面授In-person classes Systems of Linear Equations and Matrices
3 112/09/24 ~ 112/09/30 面授In-person classes Systems of Linear Equations and Matrices
4 112/10/01 ~ 112/10/07 面授In-person classes Systems of Linear Equations and Matrices
Determinants
5 112/10/08 ~ 112/10/14 面授In-person classes Determinants; 小考一
6 112/10/15 ~ 112/10/21 面授In-person classes Determinants
7 112/10/22 ~ 112/10/28 面授In-person classes Determinants
Euclidean Vector Spaces
8 112/10/29 ~ 112/11/04 面授In-person classes Euclidean Vector Spaces
9 112/11/05 ~ 112/11/11 面授In-person classes 期中考
10 112/11/12 ~ 112/11/18 面授In-person classes General Vector Spaces
11 112/11/19 ~ 112/11/25 面授In-person classes General Vector Spaces
12 112/11/26 ~ 112/12/02 面授In-person classes General Vector Spaces
13 112/12/03 ~ 112/12/09 面授In-person classes General Vector Spaces
Linear Transformations
14 112/12/10 ~ 112/12/16 面授In-person classes Linear Transformations
小考二
15 112/12/17 ~ 112/12/23 面授In-person classes Linear Transformations
Eigenvalues and Eigenvectors
16 112/12/24 ~ 112/12/30 面授In-person classes Eigenvalues and Eigenvectors
17 112/12/31 ~ 113/01/06 面授In-person classes Eigenvalues and Eigenvectors
18 113/01/07 ~ 113/01/13 面授In-person classes Eigenvalues and Eigenvectors

■  學習活動與作業說明 (Learning Activities and Assignments)
每章節授完,均有規定習題作業,並提供答案,以利學生練習。
■  評分方式 (Grading Policy)

  評分項目
Assessment Item
配分比例
Percentage
相關說明
Description
1 小考 30%
2 期中考 30%
3 期末考 40%
4 平時成績:0 ~ 8 分(額外增加) 8%
■  相關參考書目 (Other Useful Readings)
1. Linear Algebra(4th): Friedberg, Insel, Spence; 新月圖書

2. Elementary Linear Algebra with Application(2nd); Nicholson; 新月圖書

3. Introduction to Linear Algebra; O' Neil; 華泰書局
■  本課程具有如下意涵Course Significance:

No.
課程意涵Course Significance
1 服務學習Service Learning  
2 生涯規劃Career Planning  
3 性別平等教育Gender Equality  
4 人權教育Human Rights  
5 保護智慧財產權Protection of Intellectual Property Rights  
6 藝術與美感教育Art and Aesthetic Education  
7 健康醫療照護Health and Medical Caring  
8 生命教育Life Education  
9 食品安全Food Safety  
10 環境教育Environmental Education  
■  本課程可做為學生職涯發展之準備 Can this course prepare students for their career development?
否(No)
四、本課程內涵與全球永續發展目標之對應
Correspondence between course content and SDGs

No.
本課程內涵與全球永續發展目標之對應
Correspondence between course content and SDGs
1 SDG1消除貧窮 (No Poverty)  
2 SDG2消除飢餓 (Zero Hunger)  
3 SDG3良好健康和福祉 (Good Health and Well-being)  
4 SDG4優質教育 (Quality Education)
5 SDG5性別平等 (Gender Equality)  
6 SDG6潔淨水與衛生 (Clean Water and Sanitation)  
7 SDG7可負擔的潔淨能源 (Affordable and Clean Energy)  
8 SDG8尊嚴就業與經濟發展(Decent Work and Economic Growth)  
9 SDG9產業創新與基礎設施 (Industry, Innovation and Infrastructure)  
10 SDG10減少不平等 (Reduced Inequalities)  
11 SDG11永續城市與社區 (Sustainable Cities and Communities)  
12 SDG12負責任的消費與生產(Responsible Consumption and Production)  
13 SDG13氣候行動 (Climate Action)  
14 SDG14水下生命 (Life below Water)  
15 SDG15陸域生命 (Life on Land)  
16 SDG16和平正義與有力的制度 (Peace, Justice and Strong Institutions)  
17 SDG17夥伴關係 (Partnerships for the Goals)  
五、本課程內涵與學生核心素養之對應1
Correspondence between course content and Core Literacy

No.
本課程內涵與學生核心素養之對應1
Correspondence between course content and Core Literacy
1 專業宏通(Academic Excellence and Holistic Development)  
2 批判思考(Critical Thinking)  
3 溝通互動(Communication and Interaction)  
4 尊重差異(Empathy and Respect for Differences)  
5 創意創新(Creation and Innovation)  
6 藝術涵養(Aesthetic Appreciation and Expression)  
7 數位素養(Digital Literacy)  
8 永續思維(Sustainability Mindset)  
9 問題解決(Problem Solving)
10 跨域合作(Interdisciplinary Collaboration)  
11 社會關懷(Social Concerns)  
12 全球素養(Global Competence)  
六、本課程與學生核心能力 / 基本素養之對應
Correspondence Between Course Contents and Core Competency / Basic Achievement

No.
本課程與學生核心能力 / 基本素養之對應
Correspondence Between Course Contents and Core Competency / Basic Achievement
1 運用數學、科學、工程與資訊科技知識的能力
2 分析問題與定義需求的能力
3 設計與實作元件或系統所需的技術能力  
4 實務應用所需的工具使用能力  
5 配合與執行工程與管理的能力  
6 具備團隊合作的能力並理解專業倫理  
7 吸收科技新知與產業動態的能力  
8 建立科技語文表達的能力  
七、本課程與生涯準備能力之對應
Correspondence Between Course Contents and Career - oriented Preparation Ability

No.
本課程與生涯準備能力之對應
Correspondence Between Course Contents and Career - oriented Preparation Ability
1 學習意願強、可塑性高Strong learning motivation and high adaptability
2 穩定度與抗壓性高High stability and stress resistance
3 培養團隊合作或領導統御能力Cultivate teamwork collaboration or leadership skills  
4 專業知識與技術Professional knowledge and expertise skills  
5 具有發現、分析、解決問題能力Capabilities in problem identification, analysis, and resolution
6 具有國際觀與外語能力International perspectives and foreign language abilities  
7 具有創新創業能力Entrepreneurial and innovative capabilities  
8 融會貫通能力Ability for comprehensive integration and mastery of knowledge
9 具有口語表達與人際溝通能力Possession of oral expression and interpersonal communication skills  
10 跨領域整合與多元適應能力Cross-disciplinary integration and diverse adaptation capabilities  
11 具有中/英文報告書寫能力Possession of Chinese/English report writing  
12 具有實作/實習或就業接軌能力Ability to implement/practice or transition into employment  
13 具有社會服務學習能力Capacity for learning social service  
14 具有邏輯運算思維能力Logical / computational thinking ability
15 培養數位科技應用能力Cultivation of application abilities digital technology  
八、本課程與職業能力就業領域之對應
Correspondence Between Professional Skills and Future Careers

No.
本課程與職業能力就業領域之對應
Correspondence Between Professional Skills and Future Careers
1 通訊傳播(Communications)  
2 視覺藝術(Visual Arts)  
3 企業資訊管理(Corporate Information Management)  
4 運籌管理(Operations Management )  
5 健康產業及醫務管理(Health Industry and Healthcare Administration )  
6 軟體開發及程式設計(Software Development and Computer Programming )  
7 資訊支援與服務(Technical Support and Services)  
8 網路規劃與建置管理(Network Planning and Construction Management)  
9 數位內容與傳播(Digital Content and Communication)  
10 資訊安全技術與服務(Cyber Security Technologies and Services)  
11 市場分析研究(Market Analysis and Research)  
12 品質管理(Quality Management)  
13 製程研發(Manufacturing Process Research and Development)  
14 工程及技術(Engineering and Technology)  
15 數學及科學(Mathematics and Science)
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