| Föreläsning | Räkneövningar | ||
|---|---|---|---|
| Avsnitt | Övningar | ||
| 1. Måndag 29/10 | Kapitel P
Gränsvärden 1.1-1.3 |
1.2: 10, 14, 18, 24, 26. 1.3: 4, 6, 8, 14. | P.1: 3, 6, 17, 19, 21, 25, 29, 37, 41.
P.2: 9, 11, 47, 50. P.3: 3, 7, 19, 29, 45, 47. P.4: 3, 5, 7, 13, 19, 45, 53. P.5: 1, 5, 9, 21, 25, 27. P.6: 5, 9, 15, 17, 21, 23, 27. 1.2: 1, 13, 21, 33, 67, 78. 1.3: 1, 9, 13, 31. |
| 2. Onsdag 31/10 | Kontinuitet, 1.4, (1.5)
Derivata 2.1-2.3 |
1.4: 4, 8, 18, 30. 2.1: 4, 24. 2.2: 6, 16, 25, 47, 48. 2.3: 6, 16, 22, 40. | |
| 3. Fredag 2/11 | Derivator (fortsättning)
2.4-2.5, 2.7-2.8 |
2.4: 2, 4, 11, 25, 36, 40. 2.5: 24, 28, 32, 42, 58. 2.8: 2, 8, 28 | |
| 4. Måndag 5/11 | Medelvärdessatsen 2.6
Implicitderivering, Obestämd integral 2.9-2.11 |
2.6: 2, 6, 8, 12. 2.9: 4, 10, 12. | 1.4: 1, 3, 19, 21, 29. (1.5: 1, 3, 8).
2.1: 3, 15, 19, 23, 25. 2.2: 1, 5, 19, 25, 45, 49. 2.3: 11, 29, 53. 2.4: 1, 3, 15, 29. 2.5: 13, 25, 31, 55 . 2.6: 1, 3, 9, 11. 2.7: 7, 11, 21. 2.9: 3, 15, 21. 2.10: 11, 15, 33, 37. |
| 5. Onsdag 7/11 | Inversfunktioner 3.1
Exponential- och logaritmfunktionen 3.3, 3.4 |
3.1: 8, 10, 25. 3.3: 22, 26, 40, 42. | |
| 6. Fredag 9/11 | LS 1
Inversa funktioner till trigonometriska funktioner 3.5 |
3.5: 2, 6, 8, 14, 16, 20, 22, 26, 34. | |
| 7. Måndag 12/11 | Linjära differential-
ekvationer av andra ordningen med konstanta koefficienter 3.7, 17.8 |
3.7: 2, 6, 10. 17.8: 2, 8, 10, 12. | 3.1: 3, 11, 17, 25, 31.
3.3: 7, 19, 23, 35, 57. 3.5: 1, 11, 13, 19, 21, 23, 33, 51. 3.7: 1, 5, 7, 13, 15. 17.8: 1, 3, 5, 7. |
| 8. Onsdag 14/11 | Lokala och globala extremvärden 4.2
Andraderivatatestet 4.3 (Teorem 6) |
4.2: 6, 14, 26, 30, 32, 36, 42, 44. 4.3: 26, 28, 32. | |
| 9. Fredag 16/11 | Asymptoter 4.4
Extremvärden 4.5 L'Hôpital's regel 4.9 |
4.4: 14. 4.5: 28. 4.9: 2, 4, 6, 8, 10, 12, 14, 18, 20, 26. | |
| 10. Måndag
19/11 |
Linjär approximation 4.7
Taylor's formel 4.8 |
4.7: 4, 6, 16, 22. 4.8: 2, 6, 10, 20, 22. |
4.2: 1, 3, 5, 13, 49. 4.3: 5, 15, 25, 35. 4.4: 1, 3, 5, 13, 31. 4.5: 13, 19, 24, 31, 35. 4.9: 1, 3, 13, 21, 23, 29. LS 2 |
| 11. Onsdag 21/11 | Taylor's formel (fortsättning) 9.8 | 9.8: 2. | |
| 12. Fredag 23/11 | Area, Riemannsumma
Integralens definition 5.1-5.4 |
5.1: 2, 12, 22, 24. 5.2: 2, 10. 5.3: 2, 10, 12. 5.4: 4, 11, 14, 24, 30. | |
| 13. Måndag
26/11 |
Integralkalkylens huvudsats 5.5
Variabelsubstitution 5.6 |
5.5: 6, 10, 16, 18, 20, 24, 28, 30, 42, 46. 5.6: 4, 6, 8, 10, 16, 22, 28. | 4.7: 5, 11, 13. 4.8: 1, 3, 7, 11, 13, 27.
9.8: 3, 5.
5.1: 21, 27. 5.2: 1, 5. 5.3: 7, 11, 15, 17. 5.4: 1, 3, 7, 41, 45. 5.5: 3, 7, 19, 25, 35, 41, 47, 51, 55. 5.6: 1, 3, 9, 11, 17, 21, 23, 25, 27. |
| 14. Onsdag 28/11 | Partiell integration, Substitution
6.1, 6.2 (t.o.m. s. 357) |
6.1: 2, 6, 8, 13, 14, 32. 6.2: 2, 6, 10, 16, 22, 26. | |
| 15. Fredag 30/11 | LS 3
Uppdelning i partialbråk 6.3 Generaliserade integraler 6.5 |
6.3: 6, 10, 12, 16, 20. 6.5: 2, 4, 8, 10, 24, 30. | |
| 16. Måndag
3/12 |
Areaberäkning av plana områden 5.7
Rotationvolymer 7.1-7.2 Båglängder, rotationsareor 7.3 |
5.7: 2, 4, 6, 30. 7.1: 3, 6, 8, 12, 16. 7.3: 4, 8, 12, 22, 24. | 6.1: 1, 5, 9, 21, 23, 29, 33. 6.2: 1, 7, 17,
31.
6.3: 1, 5, 11, 14, 17, 25. 6.5: 1, 5, 15, 23, 31, 33. 5.7: 5, 17, 25, 29. 7.1: 1, 13, 19, 21. 7.2: 1, 7, 13. 7.3: 3, 7, 23, 31, 39. |
| 17. Onsdag 5/12 | Talföljder 9.1, Serier 9.2 | 9.1: 2, 18, 24, 26. 9.2: 2, 4, 10, 16, 18. | |
| 18. Fredag 7/12 | Positiva serier 9.3 (till s. 542)
Absolut konvergens, Betingad konvergens 9.4 (till s. 548) |
9.3: 2, 4, 8, 10, 16, 18. 9.4: 4, 6, 8. | |
| 19. Måndag 10/12 | LS 4
Potensserier 9.5 |
9.5: 2, 4, 6, 8, 18, 28. 9.8: 8, 10. | 9.1: 1, 5, 9, 19, 21, 25, 29. 9.2: 1, 7, 9,
11, 15, 17, 29, 31. 9.3: 1, 3, 5, 7, 11, 12, 15, 16, 35. 9.4: 1, 5, 7, 10, 26. 9.5: 1, 5, 7, 25, 27. 9.8: 9, 11, 13, 17. |
| 20. Onsdag 12/12 | Repetition | ||