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The problems from the textbook below are simple, standard examples of basic problems. We suggest that you use them to check your understanding of material from the lectures. The problems suggested from below are in edition 9 of the textbook.
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Week 1:
Jun.24-28 |
1 |
Introduction, Directional Fields Chapter 2. First Order Differential Equations §2.2: # 1-8, 9-12, 31, 34, 36, 38 |
| 2 |
§2.1: # 1-12, 13-20, 30, 31, 39-42 §2.3: # 2, 3, 5, 18 |
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| 3 |
§2.4: # 1-12, 22, 23-25 |
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| 4 |
§2.6: # 1-12, 18-20, 22, 25-27 |
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| 5 |
Chapter 7. Systems of First Order Linear Equations §7.2: # 7, 16-19, 21, 24, 26 |
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Week 2:
Jul.1-5 |
6 |
§7.3: # 4-6, 9-11, 13-15, 19, 20-25 |
| 7 |
§7.4: # 2, 6, 7 §7.5: # 5-11, 13, 17, 25, 27 |
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| 8 |
§7.5: # 5-11, 13, 17, 25, 27 §7.6: # 5, 6, 7, 9, 13, 19 |
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| 9 |
§7.7: # 5, 7, 9, 12, 15, 16 |
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| 10 |
§7.8: # 1, 3, 5, 8, 12, 18, 19, 20, 21 §7.9: # 3, 10, 11 |
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Week 3:
Jul.8-12 |
11 |
Chapter 4. Higher Order Linear Equations §4.1: # 3, 2, 18, 19, 23, 24 |
| 12 |
§4.2: # 19, 21, 22, 23, 30, 28 |
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| 13 |
Chapter 3. Second Order Linear Equations |
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| 14 |
§3.4: # 8-10, 25, 26, 29 |
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| 15 |
§3.5: # 5, 8, 16, 20, 22, 24, 25 |
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Week 4:
Jul.15-19 |
16 |
§3.6: # 14, 15, 17, 20 |
| 17 |
§4.3: # 1, 2, 3, 10, 13-15 |
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| 18 | ||
| 19 |
§3.8: # 18, 5, 7 |
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| 20 | ||
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Week 5:
Jul.22-26 |
21 |
Chapter 6. The Laplace Transform §6.1: # 5, 13, 15, 26, 27 |
| 22 |
§6.2: # 8, 9, 10, 15, 18, 23 §6.3: # 10, 11, 12, 14, 15, 16, 18, 20, 21, 22 |
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| 23 |
§6.4: # 4, 10, 11, 13, 16 |
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| 24 |
§6.5: # 3, 5, 9, 12 §6.6: # 1, 2, 6, 10, 14, 16 |
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| 25 |
Chapter 10. Partial Differential Equations and Fourier Series §10.1: # 3, 5, 8 |
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Week 6:
Jul.29-Aug.3 |
26 |
§10.2: # 13, 15, 18 |
| 27 |
§10.4: # 16, 17, 18 |
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| 28 |
§10.5: # 2, 5, 8 |
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| 29 | ||
| FINAL EXAM | ||
If you are using edition 8 of the textbook, you should make the following modifications:
- Questions for 7.3 should be 3-5, 8-10, 12-14, 18, 19-24
- Questions for 6.3 should be 8, 9, 11, 12, 14, 15, 17
- Section numbers 3.4 - 3.8 should be 3.5 - 3.9.