I2610A 教學大綱表

教學大綱表 (114學年度第1學期)

請遵守智慧財產權，勿使用非法影印教科書，避免觸法。

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.	I2610A
授課教師 Instructor	蔡佳勝
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)	LINEAR ALGEBRA WITH APPLICATIONS 5/E (S-PIE) (第五版) 作者：OTTO BRETSCHER (全華圖書公司代理) 國際標準書號( ISBN )：9780321890580

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	Matrices	Operations of Matrices Properties of Matrix Operations	Operations of Matrices Properties of Matrix Operations
4	Matrices	Symmetric Matrices Inverse of a Matrix	Symmetric Matrices Inverse of a Matrix
5	Determinants	Introduction Properties of Determinants	Introduction Properties of Determinants
6	Determinants	Determinants Matrix Inverses Systems of Linear Equation	Determinants Matrix Inverses Systems of Linear Equation
7	Vector Spaces	Vector Space R^n Dot Product, Norm, Angle, and Distance	Vector Space R^n Dot Product, Norm, Angle, and Distance
8	Vector Spaces	General Vector Spaces Subspaces	General Vector Spaces Subspaces
9	Vector Spaces	Linear Combinations Linear Dependence and Independence Basis, Dimension, and Rank	Linear Combinations Linear Dependence and Independence Basis, Dimension, and Rank
10	Vector Spaces	Projections and Gram-Schmidt Process Orthogonal Complement	Projections and Gram-Schmidt Process Orthogonal Complement
11	Eigenvalues and Eigenvectors	Eigenvalues and Eigenvector QR Factorization	Eigenvalues and Eigenvector QR Factorization
12	Eigenvalues and Eigenvectors	Diagonalization of Matrix	Diagonalization of Matrix
13	Linear Transformations	Matrix Transformations, Rotations, and Dilations Linear Transformations	Matrix Transformations, Rotations, and Dilations Linear Transformations
14	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
15	Linear Transformations	Coordinate Vectors Matrix Representations of Linear Transformations	Coordinate Vectors Matrix Representations of Linear Transformations
16	Inner Product Spaces	Inner Product Spaces	Inner Product Spaces
17	彈性教學 Alternative Curriculum	彈性教學 Alternative Curriculum	彈性教學 Alternative Curriculum
18	彈性教學 Alternative Curriculum	彈性教學 Alternative Curriculum	彈性教學 Alternative Curriculum

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:2023-11-02 迄:2024-01-15	6.其他 Others 同步+非同步	以仿翻轉教學和問題導向的模式，瞭解同學學習思考的方法。	整體報告佔10%

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：25% 彈性教學：10% 平時考：15%

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：https://curri.ttu.edu.tw/p/412-1033-1254.php