Instructor: Shaoyun Yi
Time: Monday (10:10-11:50), Wednesday (8:00-9:40), Friday (10:10-11:50)
Location: Room 306 at Teaching Building
Email: yishaoyun926@xmu.edu.cn
Office: B515
Office Hours: By appointment
| No. | Date | Day | Topics | Homework | Due Date |
| 1 | 9/18 | W | Number Field, Matrices and Operations I | HW 1 (1.1, 1.2) | 9/23 (M) |
| 2 | 9/20 | F | Matrices and Operations II | ||
| 3 | 9/23 | M | Matrices and Operations III, Block Matrices I | HW 2 (1.2, 1.3) | 9/27 (F) |
| 4 | 9/25 | W | Block Matrices II, Determinants I | HW 3 (1.4) | 9/30 (M) |
| 5 | 9/27 | F | Determinants II | ||
| 6 | 9/29 | Su | Expansion of Determinants | HW 4 (1.5) | 10/9 (W) |
| 7 | 9/30 | M | Laplace Expansion | ||
| 8 |
10/9 |
W |
Review, Discussion Session |
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| 9 | 10/11 | F | Invertible Matrices | HW 5 (1.6) | 10/14 (M) |
| 10 | 10/12 | Sa | Elementary Transformations and Elementary Matrices I | HW 6 (1.7) | 10/18 (F) |
| 11 | 10/14 | M | Elementary Transformations and Elementary Matrices II | ||
| 12 | 10/18 | F | Rank of a Matrix | HW 7 (1.8) | 10/21 (M) |
| 13 |
10/21 |
M |
Review, Discussion Session |
||
| 14 | 10/23 | W | Gaussian Elimination | HW 8 (2.1) | 10/28 (M) |
| 15 | 10/25 | F | n-Dimensional Column Vectors I | HW 9 (2.2) | 10/28 (M) |
| 16 | 10/28 | M | n-Dimensional Column Vectors II, Rank of a Vector Set I | HW 10 (2.3) | 11/4 (M) |
| 17 | 10/30 | W | Rank of a Vector Set II | HW 11 (2.4) | 11/8 (F) |
| 11/2 |
S |
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| 18 | 11/4 | M | Structure of Solutions for Linear Systems of Equations I | HW 11 (2.4) | 11/8 (F) |
| 19 | 11/6 | W | Structure of Solutions for Linear Systems of Equations II | ||
| 20 |
11/8 |
F |
Review, Discussion Session |
||
| 21 | 11/11 | M | Linear Spaces | HW 12 (3.1, 3.2) | 11/18 (M) |
| 11/13 |
W |
Midterm Exam |
|||
| 22 | 11/15 | F | Basis and Dimension | HW 12 (3.1, 3.2) | 11/18 (M) |
| 23 | 11/18 | M | Coordinates | HW 13 (3.3) | 11/22 (F) |
| 24 | 11/20 | W | Subspaces I | HW 14 (3.4) | 11/25 (M) |
| 25 | 11/22 | F | Subspaces II, Direct Sum Decomposition I | HW 15 (3.5) | 11/29 (F) |
| 26 | 11/25 | M | Direct Sum Decomposition II | ||
| 27 |
11/27 |
W |
Review, Discussion Session |
||
| 28 | 11/29 | F | Mapping, Linear Maps and Operations I | HW 16 (4.1, 4.2) | |
| 29 | 12/2 | M | Linear Maps and Operations II | ||
| 30 | 12/4 | W | Isomorphism I | HW 17 (4.3) | |
| 31 | 12/6 | F | Isomorphism II | ||
| 32 | 12/9 | M | Isomorphism III | ||
| 33 | 12/11 | W | Image and Kernel I | HW 18 (4.4) | |
| 34 | 12/13 | F | Image and Kernel II | ||
| 35 | 12/16 | M | Linear Transformation I | HW 19 (4.5) | |
| 36 | 12/18 | W | Linear Transformation II | ||
| 37 | 12/20 | F | Invariant Subspace I | HW 20 (4.6) | |
| 38 | 12/23 | M | Invariant Subspace II | ||
| 39 |
12/25 |
W |
Review I, Discussion Session I |
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| 40 |
12/27 |
F |
Review II, Discussion Session II |
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| 1/6 |
M |
Final Exam (8:00-10:00) @ Teaching Building Room TBC |
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