線性代數
Linear Algebra
學期
106-2
學分
3
學分
當期課號
1154
永久課號
UEE1101
開課單位
電機共同課程
授課教師
陸曉峰
校區
光復
類別
必修
上課時間表
| 節 | 週二 | 週四 |
|---|---|---|
3 10:10–11:00 | 線性代數 ED303 2 節連堂 | |
4 11:10–12:00 | ||
7 15:30–16:20 | 線性代數 ED303 |
* 根據陽明交大上課時間表所列
概述
Learning the concepts of vector spaces, fundamental theorem of linear algebra, eigenvectors and eigenvalues, inner product spaces, and linear transformations
先修科目
High school algebra
教學方式
Three-hour lectures every week
評分方式
Homework 15% Quiz 20% Midterm exam#1 20% Midterm exam#2 20% Final exam 25%
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | Chapter 1. Systems of Linear Equations and Matrices 1.1 Introduction to Systems of Linear Equations 1.2 Gaussian Elimination |
| 第 2 週 | 1.3 Matrices and Matrix Operations 1.4 Inverses; Algebraic Properties of Matrices 1.5 Elementary Matrices and a Method for Finding $A^{-1}$ |
| 第 3 週 | 1.6 More on Linear Systems and Invertible Matrices 1.7 Diagonal, Triangular, and Symmetric Matrices |
| 第 4 週 | 9.1 $LU$-decompositions Chapter 2 Determinants 2.1 Determinants by Cofactor Expansion |
| 第 5 週 | 2.2 Evaluating Determinants by Row Reduction 2.3 Properties of Determinants; Cramer's Rule |
| 第 6 週 | Chapter 3 Euclidean Vector Spaces 3.1 Vectors in 2-Space, 3-Space, and n-Space 3.2 Norm, Dot Product, and Distance in $\R^n$ |
| 第 7 週 | 3.3 Orthogonality 3.4 The Geometry of Linear Systems 3.5 Cross Product |
| 第 8 週 | Chapter 4 General Vector Spaces 4.1 Real Vector Spaces 4.2 Subspaces |
| 第 9 週 | 4.3 Linear Independence 4.4 Coordinates and Basis |
| 第 10 週 | 4.5 Dimension 4.6 Change of Basis 4.7 Row Space, Column Space, and Null Space |
| 第 11 週 | 4.8 Rank, Nullity, and the Fundamental Matrix Spaces 4.9 Basic Matrix Transformations in $\R^2$ and $\R^3$ 4.10 Properties of Matrix Transformations |
| 第 12 週 | Chapter 5 Eigenvalues and Eigenvectors 5.1 Eigenvalues and Eigenvectors 5.2 Diagonalization |
| 第 13 週 | 5.3 Complex Vector Spaces Chapter 6 Inner Product Spaces 6.1 Inner Products 6.2 Angle and Orthogonality in Inner Product Spaces |
| 第 14 週 | 6.3 Gram-Schmidt Process: QR-Decompositions 6.4 Best Approximations: Least Squares |
| 第 15 週 | Chapter 7 Diagonalization and Quadratic Forms 7.1 Orthogonal Matrices 7.2 Orthogonal Diagonalization |
| 第 16 週 | 7.3 Quadratic Forms 7.5 Hermitian, Unitary, and Normal Matrices |
| 第 17 週 | Chapter 8 Linear Transformations 8.1 General Linear Transformations 8.2 Isomorphisms 8.3 Compositions and Inverse Transformations |
| 第 18 週 | 8.4 Matrices for General Linear Transformations 8.5 Similarity |
教科書
Howard Anton and Chris Rorres, Elementary Linear Algebra with Supplemental Applications, 11th ed., Wiley
Office Hours
- 地點
- ED 726
- 時間
- By Appointment
- 聯絡方式
- francis@mail.nctu.edu.tw