Instructor: Shaoyun Yi
Time: Monday (10:10-11:50), Wednesday (8:00-9:40), Friday (10:10-11:50)
Location: Room 307 at Teaching Building
Email: yishaoyun926@xmu.edu.cn
Office: B515
Office Hours: By appointment
| No. | Date | Day | Topics | Homework | Due Date |
| 1 | 9/22 | M | Number Field, Matrices and Operations I | HW 1 (1.1, 1.2) | 9/26 (F) |
| 2 | 9/24 | W | Matrices and Operations II | ||
| 3 | 9/26 | F | Matrices and Operations III, Block Matrices I | HW 2 (1.2, 1.3) | 10/10 (F) |
| 4 | 9/29 | M | Block Matrices II, Determinants I | HW 3 (1.4) | 10/13 (M) |
| 5 | 10/10 | F | Determinants II | ||
| 6 | 10/11 | Sa | Determinants III, Expansion of Determinants | HW 4 (1.5) | 10/17 (F) |
| 7 | 10/13 | M | Laplace Expansion | ||
| 8 |
10/15 |
W |
Review, Discussion Session |
||
| 9 | 10/17 | F | Invertible Matrices | HW 5 (1.6) | 10/20 (M) |
| 10 | 10/20 | M | Elementary Transformations and Elementary Matrices I | HW 6 (1.7) | 10/24 (F) |
| 11 | 10/22 | W | Elementary Transformations and Elementary Matrices II | ||
| 12 | 10/24 | F | Rank of a Matrix | HW 7 (1.8) | 10/27 (M) |
| 13 |
10/27 |
M |
Review, Discussion Session |
||
| 14 | 10/29 | W | Gaussian Elimination | HW 8 (2.1) | 11/3 (M) |
| 15 | 10/31 | F | n-Dimensional Column Vectors I | HW 9 (2.2) | 11/3 (M) |
| 16 | 11/3 | M | n-Dimensional Column Vectors II, Rank of a Vector Set I | HW 10 (2.3) | 11/10 (M) |
| 17 | 11/5 | W | Rank of a Vector Set II | ||
| 18 | 11/10 | M | Structure of Solutions for Linear Systems of Equations I | HW 11 (2.4) | 11/14 (F) |
| 19 | 11/12 | W | Structure of Solutions for Linear Systems of Equations II | ||
| 20 |
11/14 |
F |
Review, Discussion Session |
||
| 11/17 |
M |
Midterm Exam |
|||
| 21 | Linear Spaces | HW 12 (3.1, 3.2) | |||
| 22 | Basis and Dimension | HW 12 (3.1, 3.2) | |||
| 23 | Coordinates | HW 13 (3.3) | |||
| 24 | Subspaces I | HW 14 (3.4) | |||
| 25 | Subspaces II, Direct Sum Decomposition I | HW 15 (3.5) | |||
| 26 | Direct Sum Decomposition II | ||||
| 27 |
|
|
Review, Discussion Session |
||
| 28 | Mapping, Linear Maps and Operations I | HW 16 (4.1, 4.2) | |||
| 29 | Linear Maps and Operations II | ||||
| 30 | Isomorphism I | HW 17 (4.3) | |||
| 31 | Isomorphism II | ||||
| 32 | Isomorphism III | ||||
| 33 | Image and Kernel I | HW 18 (4.4) | |||
| 34 | Image and Kernel II | ||||
| 35 | Linear Transformation I | HW 19 (4.5) | |||
| 36 | Linear Transformation II | ||||
| 37 | Invariant Subspace I | HW 20 (4.6) | |||
| 38 | Invariant Subspace II | ||||
| 39 |
|
|
Review I, Discussion Session I |
||
| 40 |
|
|
Review II, Discussion Session II |
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|
|
|
Final Exam @ Teaching Building Room xxx |
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