教學大綱表 (113學年度 第3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
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

No.
單元主題
Unit topic
內容綱要
Content summary
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 review review review  
18 Final Exam Final Exam Final Exam  


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)
扣考規定:https://curri.ttu.edu.tw/p/412-1033-1254.php