線性代數
Linear Algebra
學期
113-1
學分
3
學分
當期課號
910449
永久課號
SESE10115
開課單位
系統工程與科技學士學位學程
授課教師
系統工程
類別
必修
上課時間表
| 節 | 週三 |
|---|---|
A 18:30–19:20 | 線性代數 3 節連堂 |
B 19:30–20:20 | |
C 20:30–21:20 |
* 根據陽明交大上課時間表所列
概述
介紹向量空間之線性映射基礎理論,以奠定學習其他理工科學的工具. Largely due to the computer revolution of last 80 years, linear algebra has risen to a prominence in the mathematical curriculum. It studies linear maps between vector spaces. Linear maps can be represented by matrices or binary relations. Linear algebra is a basic tool for many courses.
先修科目
高中數學 Mathematics in Senior High School
評分方式
1 期中考:30% 2.期末考:40% 3.作業:30% 1. Midterm : 30% 2. Finial Exam: 40 % 3. Homework : 30 %
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | 1 Systems of Linear Equations: Row Echelon Form |
| 第 2 週 | 2 Elementary Row Operations |
| 第 3 週 | 3 Determinent |
| 第 4 週 | 4 Properties of Determinant |
| 第 5 週 | 5 Cramer’s Rule |
| 第 6 週 | 6 Vector Space: Linear Independence |
| 第 7 週 | 7 Change of Basis |
| 第 8 週 | 8 Row Space and Column Space |
| 第 9 週 | 9 Mid-term |
| 第 10 週 | 10 Matrix Representation |
| 第 11 週 | 11 Similarity |
| 第 12 週 | 12 Scalar product and Orthogonal subspace |
| 第 13 週 | 13 Fundamental Subspace Theorem |
| 第 14 週 | 14 Inner Product |
| 第 15 週 | 15 Orthonormal Sets and Gram-Schmidt Process |
| 第 16 週 | 16 Eigenvalues and Characteristic polynomial 17 Eigenvectors and Diagonialization 18 Final Exam |
教科書
教科書 Linear Algebra (Ninth Edition) Steven Leon Pearson 2016