| Relevance of Course Objectives and Core Learning Outcomes(%) |
Teaching and Assessment Methods for Course Objectives |
| Course Objectives |
Competency Indicators |
Ratio(%) |
Teaching Methods |
Assessment Methods |
| 讓學生熟悉線性代數的基處概念和理論。學生將能夠閱讀、使用線性代數和矩陣中的符號和知識，作為日後專業應用之基礎。 |
| 1.Basic Knowledge in Mathematical Sciences |
| 2.Professional Knowledge in Mathematical Analysis |
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|
| Attendance |
| Assignment |
| Quiz |
|
| Course Content and Homework/Schedule/Tests Schedule |
| Week |
Course Content |
| Week 1 |
3.4 (2.2, 2.3) linear transformations, null spaces and ranges |
| Week 2 |
3.4 (2.2, 2.3) linear transformations, null spaces and ranges
|
| Week 3 |
3.3 coordinatization of vectors
7.1 coordinatization and change of basis
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| Week 4 |
3.4 (2.3) linear transformations, matrix representation
|
| Week 5 |
3.4 (2.3) linear transformations, addition, composition |
| Week 6 |
3.4 (2.3) linear transformations, invertibility and isomorphisms
|
| Week 7 |
2.2 the rank of a matrix
5.1 eigenvalues and eigenvectors, similarity, characteristic polynomial |
| Week 8 |
5.1 invariant subspaces
5.2 (7.2) diagonalization |
| Week 9 |
期中考 |
| Week 10 |
5.3 applications of diagonalization |
| Week 11 |
* projection operations
* nilpotent |
| Week 12 |
* cyclic subspaces and Cayley-Hamilton theorem
9.4 Jordan form |
| Week 13 |
9.2 matrices and vector spaces with complex scalars
3.5 inner product spaces |
| Week 14 |
6.2 Gram-Schmit process
6.1 (6.4) orthogonal projection |
| Week 15 |
6.3 orthogonal matrix, unitary matrix
|
| Week 16 |
期末考 |
self-directed
learning |
課程相關教材/影片 |
|
| Evaluation |
平時小考20% 每週或隔週考
期中考40%
期末考40% |
| Textbook & other References |
參考書
Linear Algebra 3/e, John B. Fraleigh, Raymond A. Beauregard
Linear Algebra 4/e, Stephen H Friedberg, Arnold J Insel, L. Spence |
| Teaching Aids & Teacher's Website |
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| Office Hours |
| 週一上午11:10~12:00/email約時間 |
| Sustainable Development Goals, SDGs(Link URL) |
| include experience courses：N |
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