線性代數
Linear Algebra
學期
108-1
學分
3
學分
當期課號
A587
永久課號
A9936
開課單位
生醫光電暨奈米科學學士學位學程(與生命科學院合辦)
授課教師
賈世璿
校區
陽明
類別
選修
上課時間表
| 節 | 週二 |
|---|---|
5 13:20–14:10 | 線性代數 YKB121 3 節連堂 |
6 14:20–15:10 | |
7 15:30–16:20 |
* 根據陽明交大上課時間表所列
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | Course introduction; Basic concepts on matrices and vectors |
| 第 2 週 | System of linear equations and Gaussian elimination |
| 第 3 週 | The language of set theory; Span of a set of vectors; Linear dependence and independence |
| 第 4 週 | Matrix multiplication; Invertibility and elementary matrices; The inverse of a matrix |
| 第 5 週 | Linear transformations and matrices; Composition and invertibility of linear transformations |
| 第 6 週 | Determinants |
| 第 7 週 | Subspaces and their properties; Basis and Dimensions; Coordinate systems |
| 第 8 週 | Eigenvalue, eigenvector, and diagnonalization |
| 第 9 週 | Mid-term exam |
| 第 10 週 | The geometry of vectors dot product; Orthogonal vector and projections |
| 第 11 週 | Least squares approximation and orthogonal projection matrices; Symmetric matrices |
| 第 12 週 | Vector spaces and their subspaces; Linear transformation |
| 第 13 週 | Vector spaces: Basis and dimensions; Linear operators |
| 第 14 週 | Eigenvalue and eigenvector of a matrix representations of a linear operator; |
| 第 15 週 | Inner product space |
| 第 16 週 | Introduction to linear time invariant system (I) |
| 第 17 週 | Introduction to linear time invariant system (II) |
| 第 18 週 | Final exam |