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) 管理數學
(英文) Managerial Mathematics 		開課單位
Departments		 資訊經營學系
課程代碼
Course No.		 N2680
授課教師
Instructor		 張建瑋
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)：The management mathematics is a requirement for information management majors. Topics include systems of linear equations and their solutions, matrices and matrix algebra, inverse matrices; determinants and permutations; real n-dimensional vector spaces, abstract vector spaces and their axioms, linear transformations; inner products (dot products), orthogonality, cross products, and their geometric applications; subspaces, linear independence, bases for vector spaces, dimension, matrix rank; eigenvectors, eigenvalues, matrix diagonalization.
教科書(Textbook) Steven J. Leon "Linear Algebra with Applications," 10th Ed., Global Ed., Pearson, 2021.
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 Matrices and Systems of Equations (1) 1. Systems of Linear Equations
2. Row Echelon Form 		1. Systems of Linear Equations
2. Row Echelon Form		  
2 Matrices and Systems of Equations (2) 1. Matrix Algebra 1. Matrix Algebra  
3 Matrices and Systems of Equations (3) 1. Elementary Matrices
2. Partitioned Matrices 		1. Elementary Matrices
2. Partitioned Matrices		  
4 Determinants (1) 1. The Determinant of a Matrix 1. The Determinant of a Matrix  
5 Determinants (2) 1. Properties of Determinants
2. Cramer's Rule 		1. Properties of Determinants
2. Cramer's Rule		  
6 Vector Spaces (1) 1. Definition and Examples
2. Subspaces 		1. Definition and Examples
2. Subspaces		  
7 Vector Spaces (2) 1. Linear Independence
2. Basis and Dimension 		1. Linear Independence
2. Basis and Dimension		  
8 Vector Spaces (3) 1. Change of Basis
2. Row Space and Column Space 		1. Change of Basis
2. Row Space and Column Space		  
9 期中考 期中考 期中考  
10 Linear Transformations 1. Definition and Examples
2. Matrix Representations of Linear Transformations
3. Similarity 		1. Definition and Examples
2. Matrix Representations of Linear Transformations
3. Similarity		  
11 Orthogonality (1) 1. The Scalar Product in R^n
2. Orthogonal Subspaces 		1. The Scalar Product in R^n
2. Orthogonal Subspaces		  
12 Orthogonality (2) 1. Least Squares Problems
2. Inner Produce Spaces 		1. Least Squares Problems
2. Inner Produce Spaces		  
13 Orthogonality (3) 1. Orthonormal Sets
2. The Gram-Schmidt Orthogonalization Process 		1. Orthonormal Sets
2. The Gram-Schmidt Orthogonalization Process		  
14 Eigenvalues (1) 1. Eigenvalues and Eigenvectors
2. Systems of Linear Differential Equations 		1. Eigenvalues and Eigenvectors
2. Systems of Linear Differential Equations		  
15 Eigenvalues (2) 1. Diagonalization
2. Hermitian Matrices 		1. Diagonalization
2. Hermitian Matrices		  
16 Eigenvalues (3) 1. The Singular Value Decomposition
2. Quadratic Forms 		1. The Singular Value Decomposition
2. Quadratic Forms		  
17 Eigenvalues (4) 1. Positive Definite Matrices
2. Nonnegative Matrices 		1. Positive Definite Matrices
2. Nonnegative Matrices		  
18 期末考 期末考 期末考  
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:2024-04-01 迄:2024-04-07 2.非同步線上課程 Asynchronous online course 歷屆期中考試題賞析 說明影片觀看進度達規定的百分比
2 起:2024-05-26 迄:2024-06-02 2.非同步線上課程 Asynchronous online course 歷屆期末考試題賞析 說明影片觀看進度達規定的百分比


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：30%   期中考：30%   彈性教學：10%   平時考：15%   作業：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)
課程網站(Website)：http://elearn.ttu.edu.tw/
扣考規定：https://curri.ttu.edu.tw/p/412-1033-1254.php