Instructor: Shaoyun Yi
Time: Monday (10:10-11:50), Tuesday (2:30-4:10), Friday (2:30-4:10)
Location: Room 306 at Teaching Building
Email: yishaoyun926@xmu.edu.cn
Office: B515
Office Hours: Monday 3:00-5:00 pm, or by appointment
| No. | Date | Day | Topics | Homework | Due Date |
| 1 | 9/21 | M | Number Field, Matrices and Operations I | HW 1 (1.1, 1.2) | 9/28 (M) |
| 2 | 9/22 | T | Matrices and Operations II | ||
| 3 | 9/28 | M | Matrices and Operations III, Block Matrices I | HW 2 (1.2, 1.3) | 10/9 (F) |
| 4 | 9/29 | T | Block Matrices II, Determinants I | ||
| 5 | 10/9 | F | Determinants II | HW 3 (1.4) | |
| 6 | 10/12 | M | Determinants III, Expansion of Determinants | HW 4 (1.5) | |
| 7 | 10/13 | T | Laplace Expansion | ||
| 8 |
10/16 |
F |
Review, Discussion Session |
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| 9 | 10/19 | M | Invertible Matrices | HW 5 (1.6) | |
| 10 | 10/20 | T | Elementary Transformations and Elementary Matrices I | HW 6 (1.7) | |
| 11 | 10/23 | F | Elementary Transformations and Elementary Matrices II | ||
| 12 | 10/26 | M | Rank of a Matrix | HW 7 (1.8) | |
| 13 |
10/27 |
T |
Review, Discussion Session |
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| 14 | 10/30 | F | Gaussian Elimination | HW 8 (2.1) | |
| 15 | 11/2 | M | n-Dimensional Column Vectors | HW 9 (2.2) | |
| 16 | 11/3 | T | Rank of a Vector Set I | HW 10 (2.3) | |
| 17 | 11/6 | F | Rank of a Vector Set II | ||
| 18 | 11/9 | M | Structure of Solutions for Linear Systems of Equations I | HW 11 (2.4) | |
| 19 | 11/10 | T | Structure of Solutions for Linear Systems of Equations II | ||
| 20 |
11/13 |
F |
Review, Discussion Session |
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| 11/16 |
M |
Midterm Exam |
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| 21 | 11/17 | T | Linear Spaces, Basis and Dimension I | HW 12 (3.1, 3.2) | |
| 22 | 11/20 | F | Basis and Dimension II | ||
| 23 | 11/23 | M | Coordinates | HW 13 (3.3) | |
| 24 | 11/24 | T | Subspaces I | HW 14 (3.4) | |
| 25 | 11/27 | F | Subspaces II, Direct Sum Decomposition I | ||
| 26 | 11/30 | M | Direct Sum Decomposition II | HW 15 (3.5) | |
| 27 |
12/1 |
T |
Review, Discussion Session, Mapping |
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| 28 | 12/4 | F | Linear Maps and Operations I | HW 16 (4.1, 4.2) | |
| 29 | 12/7 | M | Linear Maps and Operations II, Isomorphism I | ||
| 30 | 12/8 | T | Isomorphism II | HW 17 (4.3) | |
| 31 | 12/11 | F | Isomorphism III | ||
| 32 | 12/14 | M | Image and Kernel I | HW 18 (4.4) | |
| 33 | 12/15 | T | Image and Kernel II | ||
| 34 | 12/18 | F | Linear Transformation I | HW 19 (4.5) | |
| 35 | 12/21 | M | Linear Transformation II | ||
| 36 | 12/22 | T | Invariant Subspace | HW 20 (4.6) | |
| 37 | 12/25 | F | Review, Discussion Session |
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Final Exam ?? @ Teaching Building Room ??? |
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