線性代數

臺北科技大學 115-1 學期課程，課號 366593。

課程大綱

線性代數為工程類學科之基礎數學之一,著重於訓練學生矩陣運算及基本數學証明.課程大綱如下： 1.解聯立方程式 2.矩陣運算 3.行列式 4.向量空間 5.線性轉換 6.特徵值及特徵向量 7.選擇性題材,視時間充許教授下列之一：矩陣數值方法, Jordan form ,或線性規劃 As a basic mathematics in engineering,the course Linear Algebra emphasizes on the subjest of matrix computation(theory) and the technique of mathematical proving.The outline of the course includes the following: 1.Systems of Linear Equations 2.Matrices 3.Determinants 4.Vector Spaces 5.Linear Transformations 6.Eigenvalues and Eigenvectors 7.Advanced Topics: selet one of the following if time permitted: Numerical Techniques in Matrix operations,Jordan form,or Linear Programming.

課程進度

01.Matrices, Vectors and Systems of Linear Equations 02.Matrices, Vectors and Systems of Linear Equations 03.Matrices and Linear Transformations 04.Matrices and Linear Transformations 05.Determinants 06.Determinants 07.Subspaces and Their Properties 08.Subspaces and Their Properties 09.Midterm Exam 10.Subspaces and Their Properties 11.Eigenvalues, Eigenvectors and Diagonalization 12.Eigenvalues, Eigenvectors and Diagonalization 13.Eigenvalues, Eigenvectors and Diagonalization 14.Orthogonality 15.Orthogonality 16.Final Exam

評量方式

Normal grade: 30% Midterm exam: 30% Final exam: 35% Flexible Learning: 5%

教材

【遵守智慧財產權觀念，請使用正版教科書，不得使用非法影印教科書】 使用外文原文書：是 L. E. Spence, A. J. Insel, and S. H. Friedberg, Elementary Linear Algebra: A Matrix Approach, 2nd edition, Pearson Education