This page is for archival purposes only!
Students should use
ODTU-Class
- Guide to Exercises in chapters 1-15.
- Solutions (very rough) to some interesting selected exercises (Chapters 3-5).
- Solutions (very rough) to some interesting selected exercises (Chapters 6-9).
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Week 1:
Sept.22-26 |
0 | Introduction to the Course |
| 1 |
Chapter 2. Vector Spaces |
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| 2 | ||
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Week 2:
Sept.29-Oct.3 |
3 |
Chapter 3. Examples of Vector Spaces |
| 4 | ||
| 5 |
Chapter 4. Subspaces |
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Week 3:
Oct.6-10 |
6 | |
| 7 |
Chapter 5. Linear Independence and Dependence |
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| 8 | ||
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Week 4:
Oct.13-17 |
9 |
Chapter 6. Finite-Dimensional Vector Spaces and Bases |
| 10 | ||
| 11 | ||
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Week 5:
Oct.20-24 |
12 |
Chapter 7. The Elements of Vector Spaces: A Summing Up |
| 13 |
Chapter 8. Linear Transformations |
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| 14 | ||
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Week 6:
Oct.27-31 |
15 | |
| 16 | ||
| 17 | ||
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Week 7:
Nov.3-7 |
18 | |
| 19 |
Chapter 9. Linear Transformations: Examples and Applications |
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| 20 |
Chapter 10. Linear Transformations and Matrices |
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Week 8:
Nov.10-14 |
21 | |
| 22 | ||
| 23 | ||
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Week 9:
Nov.17-21 |
24 |
Chapter 11. Representing Linear Transformations by Matrices |
| 25 | ||
| 26 | ||
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Week 10:
Nov.24-28 |
27 |
Chapter 12. More on Representing Linear Transformations by Matrices |
| 28 |
Chapter 13. Systems of Linear Equations |
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| 29 | ||
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Week 11:
Dec.1-5 |
30 | |
| 31 |
Chapter 14. The Elements of Eigenvalue and Eigenvector Theory |
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| 32 | ||
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Week 12:
Dec.8-12 |
33 | |
| 34 | ||
| 35 | ||
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Week 13:
Dec.15-19 |
36 | |
| 37 |
Chapter 15. Inner Product Spaces |
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| 38 | ||
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Week 14:
Dec.20-26 |
39 | |
| 40 |
Additional Topics and Applications |
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| 41 |
Chapter 16. The Spectral Theorem and Quadratic Forms |
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Week 15:
Dec.29-30 |
42 | |
| FINAL EXAM | ||