1. |
Numerical vector space, inner product and outer product |
Read through the textbook p.83-p.93 and handouts, and solve the exercises before class. Review after class. |
190minutes |
2. |
Line, plane and quadratic curve |
Read through the textbook p.93-p.101 and handouts, and solve the exercises before class. Review after class. |
190minutes |
3. |
Vector space and linear independence |
Read through the textbook p.103-p.117 and handouts, and solve the exercises before class. Review after class. |
190minutes |
4. |
Basis and dimension |
Read through the textbook p.117-p.126 and handouts, and solve the exercises before class. Review after class. |
190minutes |
5. |
Linear mapping and linear isomorphism |
Read through the textbook p.129-p.136 and handouts, and solve the exercises before class. Review after class. |
190minutes |
6. |
Matrix representation of linear mapping, composite mapping and inverse mapping |
Read through the textbook p.137-p.148 and handouts, and solve the exercises before class. Review after class. |
190minutes |
7. |
Midterm examination and its explanation |
Preparation of midterm examination. |
190minutes |
8. |
Inner product and orthonormal basis |
Read through the textbook p.171-p.179 and handouts, and solve the exercises before class. Review after class. |
190minutes |
9. |
Orthogonal transformation and diagonalization of symmetric matrix |
Read through the textbook p.179-p.187 and handouts, and solve the exercises before class. Review after class. |
190minutes |
10. |
Quadratic form |
Read through the textbook p188-p.193 and handouts, and solve the exercises before class. Review after class. |
190minutes |
11. |
Geometric meaning of linear transformations 1 |
Read through the textbook p.197-p.205 and handouts, and solve the exercises before class. Review after class. |
190minutes |
12. |
Geometric meaning of linear transformations 2 |
Read through the textbook p.205-p.210 and handouts, and solve the exercises before class. Review after class. |
190minutes |
13. |
Affine transformation and its geometric meaning |
Read through the textbook p.148-p.153, p.211-p.212 and handouts, and solve the exercises before class. Review after class. |
190minutes |
14. |
Final examination and its explanation |
Preparation of final examination. |
190minutes |
Total. |
- |
- |
2660minutes |