Rekommenderade uppgifter
5B1121, Baskurs i matematik för Open 1, höst 2003.
| Föreläsning |
Lektionstal |
Hemtal |
Matematisk grundkurs kap. 1-3.
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| 1. Reella tal, ekvationer. |
1.1: 4. 1.2: 3, 4, 5hi, 7, 8beg, 9c. 1.3:
1ch, 2cd, 4c, 5bdf, 7de, 9b, 10bf,
13bc, 14d, 15, 16, 19c, 21e |
1.1: 1, 2, 3. 1.2: 1, 2, 5a-g, 6, 8ac, 9ab. 1.3: 1abdg, 2ab, 3, 4ab,
5ace, 7abc, 9a, 10acei, 11, 12, 13a, 14bc, 17, 18, 19ab, 21ab |
| 2. Olikheter, absolutbelopp, geometri i planet. |
1.4: 3, 4, 5, 6c, 7ef, 8c. 1.5: 2ef, 3ac, 4. 1.6: 4A, 7, 10be , 12 |
1.4: 1, 2, 6ab, 7abc, 8ab. 1.5:1, 2abc, 3bd, 5, 7a.
1.6: 4b, 5, 6a, 8, 10c, 14. |
| 3. Vektorer, komplexa tal, funktioner. |
1.7: 5, 6, 12, 15, 16. 1.8: 4, 7, 12be,
14, 15, 18, 21. 2.1: 4, 5, 7, 8, 10fg, 11, 13,
15. |
1.7: 1, 3, 4, 7, 10, 11, 17. 1.8: 1, 2, 5, 6, 12acd, 13, 16b, 19.
2.1: 1, 2, 3abc, 6, 9, 10abcd. |
| 4. Naturlig logaritm och exponentialfunktioner, potensfunktioner. |
2.2: 2, 4, 5d, 7, 8b. 2.3: 2,3def, 5d, 7, 8b, 10. 2.4: 5, 6 |
2.2: 1, 3, 5abc, 6, 7c. 2.3: 1, 3abc, 4, 5ab, 6, 8a. 2.4:
1a, 2, 4. |
| 5. Logaritm och exponentialfunktioner, trigonometri, komplex exponential. |
2.5: 2ab, 3. 2.6: 3, 5, 6fh, 7,
10, 11, 12, 13c, 14, 20a, 22, 23a, 24b, 28, 32.
2.7: 3, 5a, 8, 14, 16, 17, 18b, 19. |
2.5: 1, 2cd, 4. 2.6: 1, 2, 4, 6ab, 8, 9a, 13a, 16, 18, 21, 22, 24ac,
27a, 29a, 30a, 33. 2.7: 1bcd, 2, 5b, 7, 10, 12, 13, 15bd,18a.
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| 6. Logiska resonemang och induktionsbevis. |
3.1: 4, 8, 14, 16a, 17a, 18. 3.2: 2, 4, 6a, 7, 9, 10. |
3.1: 3, 5, 6a, 15, 16bc, 17b, 19a.3.2: 1, 3, 5a, 6b, 8, 11. |
| 7. Summor och produkter. |
3.3: 2cf, 4d, 5e, 7, 9a, 10a, 11d, 12c, 15b, 18. |
3.3: 1abch, 2be, 3, 4abc, 5abc, 8, 10b, 11abc, 12a, 14, 15c, 17. |
| 8. Repetition. |
1.9: 1, 2, 4, 6, 7, 8, 10, 13, 16, 17,
21, 22, 23, 24, 25, 26, 27, 28, 31, 33, 34.
2.8: 3, 6, 7, 9, 10, 17, 19, 20, 24, 25, 26, 27, 28, 30, 31, 32, 33, 36, 37
3.4: 1, 2, 3, 4, 5, 8, 9, 10, 11, 13, 14, 15, 17, 18, 20. |
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