I2610 教學大綱表

教學大綱表 (112學年度第2學期)

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課程名稱 Course Title	(中文) 線性代數 (英文) Linear Algebra			開課單位 Departments	資訊工程學系
				課程代碼 Course No.	I2610
授課教師 Instructor	李政哲
學分數 Credit	3.0	必/選修 core required/optional	必修	開課年級 Level	大一
先修科目或先備能力(Course Pre-requisites)：
課程概述與目標(Course Overview and Goals)：Able to handle vectors and matrices. Understand the concepts of vector spaces. Solve linear systems Understand the concepts of eigenvectors/eigenvalues
教科書(Textbook)	Gareth Williams, Linear Algebra with Applications, Tsang-Hai
參考教材(Reference)

課程大綱 Syllabus			學生學習目標 Learning Objectives	單元學習活動 Learning Activities	學習成效評量 Evaluation	備註 Notes
序 No.	單元主題 Unit topic	內容綱要 Content summary	學生學習目標 Learning Objectives	單元學習活動 Learning Activities	學習成效評量 Evaluation	備註 Notes
1	Linear Equations	Matrices and Systems of Linear Equations	Matrices and Systems of Linear Equations
2	Linear Equations	Gauss-Jordan Elimination	Gauss-Jordan Elimination
3	Vector Spaces	Vector Space R^n Dot Product, Norm, Angle, and Distance	Vector Space R^n Dot Product, Norm, Angle, and Distance
4	Matrices	Operations of Matrices Properties of Matrix Operations	Operations of Matrices Properties of Matrix Operations
5	Matrices	Symmetric Matrices Inverse of a Matrix	Symmetric Matrices Inverse of a Matrix
6	Matrix Transformations	Matrix Transformations, Rotations, and Dilations Linear Transformations	Matrix Transformations, Rotations, and Dilations Linear Transformations
7	Determinants	Introduction Properties of Determinants	Introduction Properties of Determinants
8	Review	Review	Review
9	Determinants	Determinants Matrix Inverses Systems of Linear Equation	Determinants Matrix Inverses Systems of Linear Equation
10	Vector Spaces	General Vector Spaces Subspaces	General Vector Spaces Subspaces
11	Vector Spaces	Linear Combinations Linear Dependence and Independence	Linear Combinations Linear Dependence and Independence
12	Vector Spaces	Basis, Dimension, and Rank	Basis, Dimension, and Rank
13	Vector Spaces	Projections Orthogonal Complement	Projections Orthogonal Complement
14	Orthogonalization	Gram-Schmidt Orthogonalization Process QR Factorization	Gram-Schmidt Orthogonalization Process QR Factorization
15	Linear Transformations	Kernel, Range, and the Rank/Nullity Theorem One-to-One Transformations and Inverse Transformations	Kernel, Range, and the Rank/Nullity Theorem One-to-One Transformations and Inverse Transformations
16	Review	Review	Review
17	Diagonalization	Eigenvalues and Eigenvectors Diagonaliztions of Matrices	Acquire ability to understand the definitions and the methods to calculate the eigenvalues and eigenvectors. Also know how to identify whether a matrix can be diagonalized.	講授媒體教學	彈性教學	asynchronous distance learning
18	Linear Transformations	Coordinate Vectors Matrix Representations of Linear Transformations	Coordinate Vectors Matrix Representations of Linear Transformations	講授媒體教學	彈性教學	asynchronous distance learning

彈性教學週活動規劃

序 No.	實施期間 Period	實施方式 Content	教學說明 Teaching instructions	彈性教學評量方式 Evaluation	備註 Notes
1	起:2024-06-11 迄:2024-06-14	2.非同步線上課程 Asynchronous online course	Diagonaliztion	on line HW	HW grade proportion is 5/100
2	起:2024-06-17 迄:2024-06-21	2.非同步線上課程 Asynchronous online course	Linear Transformations	on line HW	HW grade proportion is 5/100

教學要點概述：
1.自編教材 Handout by Instructor：
■ 1-1.簡報 Slids
□ 1-2.影音教材 Videos
□ 1-3.教具 Teaching Aids
■ 1-4.教科書 Textbook
□ 1-5.其他 Other
□ 2.自編評量工具/量表 Educational Assessment
□ 3.教科書作者提供 Textbook

成績考核 Performance Evaluation：期末考：25% 期中考：25% 其他評量：10% 彈性教學：10% 平時考：30%

教學資源(Teaching Resources)：
■ 教材電子檔(Soft Copy of the Handout or the Textbook)
□ 課程網站(Website)
扣考規定：http://eboard.ttu.edu.tw/ttuwebpost/showcontent-news.php?id=504