課程大綱及進表 開課系所 Math 開課學 99 開課學期 2 課程名稱(中文) 線性代數（一） 課程名稱（英文） LINEAR ALGEBRA(1) 課程碼 C111210 先修科目或先備能 高中學 學分 3 開課教師 粘珠鳳 e-mail nienpigmail.ncku.edu.tw 電話 65146 Office Hours By Appointment 課程概述 1: Vectors Spaces 2: Linear Transformations and Matrices 3: Elementary Matrix Operations and Systems of Linear Equations 4: Determinants 教學目標 Introduction to basic topics and techniques in linear algebra. 授課課程大綱明細 Chapter 1 Vector Spaces 1.1 Introduction 1.2 Vector Spaces 1.3 Subspaces 1.4 Linear Combinations and Systems of Linear Equations1.5 Linear Dependence and Linear Independence 1.6 Bases and Dimension 1.7*Maximal Linearly Independent Subsets Chapter 2 Linear Transformations and Matrices 2.1 Linear Transformations, Null Spaces, and Ranges 2.2 The Matrix Representation of a Linear Transformation 2.3 Composition of Linear Transformations and Matrix Multiplication 2.4 Invertibility and Isomorphisms 2.5 The Change of Coordinate Matrix 2.6*Dual Spaces Chapter 3 Elementary Matrix Operations and Systems of Linear Equations 3.1Elementary Matrix Operations and Elementary Matrices3.2The Rank of a Matrix and Matrix Inverses 3.3Systems of Linear Equations-Theoretical Aspects 3.4Systems of Linear Equations-Computational Aspects Chapter 4 Determinants 4.1 Determinants of Order 2 4.2 Determinants of order n 4.3 Properties of Determinants 4.4 Summary-Important Facts about Determinants4.5*A Characterization of the Determinant 考書目 Text book: Linear Algebra, Fourth Edition by S. Friedberg, A. Insel, and L. Spence (See http:/math.illinoisstate.edu/linalg/www.html ) Also, download free book at: http:/www.math.brown.edu/treil/ by Sergei Treil (for reference). 課程要求 評方式 Quiz and homework: 20% 2 midterms each counts for 25% Final: 30% 課程網址 http:/www.math.ncku.edu.tw/cfnien/11SLinear.html 助教資訊 備註