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 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. Solving linear systems understand the concepts of eigenvectors/eigenvalues 教科書(Textbook) Gareth Williams, "Linear Algebra with Applications," 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 1 Linear Equations 1. Introduction to linear systems 2. Gauss-Jordan elimination 3. Matrix algebra 1. Introduction to linear systems 2. Gauss-Jordan elimination 3. Matrix algebra 學習如何利用矩陣解線性方程 2 Linear Equations 1. Introduction to linear systems 2. Gauss-Jordan elimination 3. Matrix algebra 1. Introduction to linear systems 2. Gauss-Jordan elimination 3. Matrix algebra 學習如何利用矩陣解線性方程 3 Linear Equations 1. Introduction to linear systems 2. Gauss-Jordan elimination 3. Matrix algebra 1. Introduction to linear systems 2. Gauss-Jordan elimination 3. Matrix algebra 學習如何利用矩陣解線性方程 4 Linear Transformations 1. Linear transformations 2. The inverse of Linear transformations 1. Linear transformations 2. The inverse of Linear transformations 學習線性轉換的要領 5 Linear Transformations 1. Linear transformations 2. The inverse of Linear transformations 1. Linear transformations 2. The inverse of Linear transformations 學習線性轉換的要領 6 Linear Transformations 1. Linear transformations 2. The inverse of Linear transformations 1. Linear transformations 2. The inverse of Linear transformations 學習線性轉換的要領 7 Subspaces and Dimensions 1. Image and kernel of a linear transformation 2. Bases and linear independence 3. The dimensions 1. Image and kernel of a linear transformation 2. Bases and linear independence 3. The dimensions 學習子空間與基底的概念 8 Subspaces and Dimensions 1. Image and kernel of a linear transformation 2. Bases and linear independence 3. The dimensions 1. Image and kernel of a linear transformation 2. Bases and linear independence 3. The dimensions 學習子空間與基底的概念 9 Subspaces and Dimensions 1. Image and kernel of a linear transformation 2. Bases and linear independence 3. The dimensions 1. Image and kernel of a linear transformation 2. Bases and linear independence 3. The dimensions 學習子空間與基底的概念 10 Midterm examination examination 測試期中學習成效 11 Orthogonality and Least Squares 1. Orthogonal projection 2. Gram-Schmidt process and QR factorization 3. Least squares and data fitting 1. Orthogonal projection 2. Gram-Schmidt process and QR factorization 3. Least squares and data fitting 學習正交投影與QR分解之概念與應用 12 Orthogonality and Least Squares 1. Orthogonal projection 2. Gram-Schmidt process and QR factorization 3. Least squares and data fitting 1. Orthogonal projection 2. Gram-Schmidt process and QR factorization 3. Least squares and data fitting 學習正交投影與QR分解之概念與應用 13 Determinants 1. Introduction to determinants Cramer's rule 1. Introduction to determinants Cramer's rule 學習行列式值概念與應用 14 Determinants 1. Introduction to determinants Cramer's rule 1. Introduction to determinants Cramer's rule 學習行列式值概念與應用 15 Eigenvalues and Eigenvectors 1. Finding the eigenvalues of a matrix 2. Finding the eigenvectors of a matrix 3. Diagonalization 4. Stability 1. Finding the eigenvalues of a matrix 2. Finding the eigenvectors of a matrix 3. Diagonalization 4. Stability 學習特徵值與特徵向量之求法及其應用 16 Eigenvalues and Eigenvectors 1. Finding the eigenvalues of a matrix 2. Finding the eigenvectors of a matrix 3. Diagonalization 4. Stability 1. Finding the eigenvalues of a matrix 2. Finding the eigenvectors of a matrix 3. Diagonalization 4. Stability 學習特徵值與特徵向量之求法及其應用 17 Eigenvalues and Eigenvectors 1. Finding the eigenvalues of a matrix 2. Finding the eigenvectors of a matrix 3. Diagonalization 4. Stability 1. Finding the eigenvalues of a matrix 2. Finding the eigenvectors of a matrix 3. Diagonalization 4. Stability 學習特徵值與特徵向量之求法及其應用 18 Final exam examination examination 測試期末學習成效

 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%   平時考：25%   教學資源(Teaching Resources)： □ 教材電子檔(Soft Copy of the Handout or the Textbook) □ 課程網站(Website) 教學相關配合事項：亦列入評分項目 (e.g. interaction, attendance, QA, etc.) 扣考規定：https://curri.ttu.edu.tw/p/412-1033-1254.php