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課程簡介 Course Introduction
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開課年度學期 Year / Term
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115 學年度 第 1 學期
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開課班級 Department
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應用數學系 應數一
Department of Applied Mathematics
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授課方式 Instructional Method
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課堂教學 、 中文
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課程電腦代號 Course Reference Number
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150010
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課程名稱(中文) Course Title(Chinese)
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線性代數(一)
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課程名稱(英文) Course Title(English)
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Linear Algebra(I)
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學分數/時數 Credit Hours
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3 /
3
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必(選)修 Required / Elective Course
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必修 Required
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授課老師 Instructor
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孫新民
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助教 Teaching Assistant
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上課時間 Meeting Time
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星期一，節次9
Mon, Period 9、A、B
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上課教室 Classroom
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J201
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Office Hours
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| 獲獎及補助情形 Awards and Grants |
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| 聯合國永續發展目標 (SDGs跨域類別) Sustainable Development Goals, SDGs |
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SDGs 04.
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優質教育：確保有教無類、公平以及高品質的教育，及提倡終身學習
Quality Education：Ensure inclusive and equitable quality education and promote lifelong learning opportunities for all
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| 屬於大學社會責任(USR)性質 Courses related to University Social Responsibility（USR) |
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| 是否運用AI輔助教學 Using Artificial Intelligence (AI) to assist teaching |
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課程目標 Learning Objectives
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本課程為對線性代數之內容及其應用作入門之學習.
課程(一)包括 Systems of Linear Equations, Vectors, Matrices, Vector Spaces.
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先修 ( 前置 ) 課程 Prerequisite
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無.
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| 彈性教學規劃 Flexible Teaching/Planning Schedules |
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課程大綱 Course Syllabus
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| 週次 Week |
課程單元大綱 Unit |
教學方式 Instructional Method/Style/Teaching Style |
參考資料或相關作業 References or Related Materials |
評量方式 Grading |
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1
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What is Linear Algebra, Solving Systems of Linear Equations
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2
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Reduced Row-Echelon Form
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3
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Types of Solution Sets
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4
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Homogeneous Systems of Equations
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5
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Nonsingular Matrices, 小考
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6
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Vector Operations, Linear Combinations
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7
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Spanning Sets, 小考
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8
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Linear Independence
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9
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Midterm Exam
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10
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Linear Dependence and Spans
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11
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Orthogonality, Gram-Schmidt Procedure
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12
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Matrix Operations, Matrix Multiplication
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13
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Matrix Inverses and System of Linear Equations
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14
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Matrix Inverses and Nonsingular Matrices, 小考
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15
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Column and Row Spaces, Four Subsets
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16
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Vector Spaces, 小考
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17
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Subspaces
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18
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Final Exam
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單一課程對應校能力指標程度 The Degree to Which Single Course Corresponds to School Competence
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| 編號 No. |
校核心能力 School Core Competencies |
符合程度 Degree of conformity |
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1
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公民力 (Citizen)
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3
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2
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自學力 (Self-learning)
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4
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3
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資訊力 (Information)
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4
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4
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創造力 (Creativity)
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4
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5
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溝通力 (Communication)
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5
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6
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就業力(Employability)
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5
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單一課程對應系能力指標程度 The Degree to Which Single Course Corresponds to Department Competence
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| 編號 No. |
類別 Category |
系核心能力 Department Core Competencies |
符合程度 Degree of conformity |
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01
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系所
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學生具備數學思考與推理能力
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5
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02
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系所
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學生擁有數學應用與解決問題能力
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4
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03
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系所
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學生具備代數、離散、統計及科學計算能力
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5
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04
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系所
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學生具有小學數學之專業教學能力
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3
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05
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系所
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學生具有跨領域之科學知識
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3
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06
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系所
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學生擁有閱讀討論與發表之專業能力
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3
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單一課程對應院能力指標程度 The Degree to Which Single Course Corresponds to College Competence
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| 編號 No. |
院核心能力 College Core Competencies |
符合程度 Degree of conformity |
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1
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語文能力
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4
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2
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溝通與合作能力
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4
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3
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創新與實踐能力
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3
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4
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專業知能
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5
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教科書或參考用書 Textbooks or Reference Books
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館藏書名 Library Books
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備註 Remarks
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R.A. Beezer: A First Course in Linear Algebra, Version 3.50, 2015.
(由於是大一新生線性代數的入門課程, 所以採用較容易之教材; 之後還有高等線性代數可供選修.)
參考書:
J. Hefferon: Linear Algebra, 4th ed., 2020.
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※請尊重智慧財產權，不得非法影印教科書※
※ Please respect intellectual property rights and do not illegally photocopy textbooks. ※
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教學方法 Teaching Method
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教學方法 Teaching Method
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百分比 Percentage
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講述
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80 %
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問題討論
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20 %
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| 總和 Total |
100 % |
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成績評量方式 Grading
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| 評量方式 Grading |
百分比 Percentage |
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平時成績
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40 %
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期中考
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30 %
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期末考
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30 %
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| 總和 Total |
100 % |
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成績評量方式補充說明
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平時成績40%(含四次小考(每次佔5%)、課堂參與、點名)、期中考30%及期末考30%等.
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課程大綱補充資料 Supplementary Material of Course Syllabus
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