線性代數
Linear Algebra
| 節 | 週三 |
|---|---|
3 10:10–11:00 | 線性代數 EDB27（光復） 2 節連堂 |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
This is an introductory and basic course in Linear Algebra over the real scalar field. The goal of the course is to impart the concepts and skills of modern linear algebra. At the end of this course, students should be able to explain the concepts of linear algebra and to apply these theories to real world examples.
Math
無備註
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Two homework (each 10 %) Midterm exam (40%) Final exam (40%)
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| 週次 | 主題 |
|---|---|
| 第 1 週 | Solving the linear equation Ax=b by Gaussian elimination and Gaussian-Jordan elimination |
| 第 2 週 | Solving the linear equation Ax=b by Gaussian elimination and Gaussian-Jordan elimination |
| 第 3 週 | Solving the linear equation Ax=b by Gaussian elimination and Gaussian-Jordan elimination |
| 第 4 週 | Properties of matrices and determinants. |
| 第 5 週 | Properties of matrices and determinants. |
| 第 6 週 | Properties of matrices and determinants. |
| 第 7 週 | Vector spaces: basis, dimension, change of basis, and solving Ax = b. |
| 第 8 週 | Vector spaces: basis, dimension, change of basis, and solving Ax = b. |
| 第 9 週 | Midterm exam |
| 第 10 週 | Linear transformations: the kernel and range of a linear transformation, transition matrices and similarity. |
| 第 11 週 | Linear transformations: the kernel and range of a linear transformation, transition matrices and similarity. |
| 第 12 週 | Linear transformations: the kernel and range of a linear transformation, transition matrices and similarity. |
| 第 13 週 | Inner product spaces: geometric structures (such as distance, angle, and etc.), orthogonalization by Gram-Schmidt, and least square analysis. |
| 第 14 週 | Inner product spaces: geometric structures (such as distance, angle, and etc.), orthogonalization by Gram-Schmidt, and least square analysis. |
| 第 15 週 | Inner product spaces: geometric structures (such as distance, angle, and etc.), orthogonalization by Gram-Schmidt, and least square analysis. |
| 第 16 週 | Eigenvalues and eigenvectors: diagonalization and orthogonal diagonalization of symmetric matrices. |
| 第 17 週 | Eigenvalues and eigenvectors: diagonalization and orthogonal diagonalization of symmetric matrices. |
| 第 18 週 | Final exam |
1. Steven J. Leon, Linear Algebra with Applications, 10th ed., Pearson Prentice Hall. 2. Larson, Edwards, and Falvo, Elementary Linear Algebra, 8th ed., Houghton Mifflin 3. Gilbert Strang, Introduction to Linear Algebra, International 5th ed., Wellesley Cambridge Press
- 地點
- EE 235A
- 時間
- 1AB (please write me an email at first)
- 聯絡方式
- d00022@nycu.edu.tw