KTH Matematik
5B1309, Algebra, grundkurs, 4p,
för F3 läsåret 2006/2007.
Kursplan
| Datum | Innehåll | uppgifter |
| 01/18 | Sec. 2, 3 |
2: 1-6,8,11,17,19,23,26,27. 3:1-10,12,15,16,24,26. |
| 01/22 | Sec. 4 |
4: 1-4, 7-9,10, 17, 18 |
| 01/24 | Sec 5 | 5:8-13, 20, 23,36(d), 41,42,43,46,51 |
| 01/29 | Sec.6 ,7 | 6: 8-11, 13, 17, 19, 22,25,27 7: 3,5,7 |
| 01/31 | Sec. 8 | 8: 1-5,7,9,11,13,17,20. |
| 02/02 | Sec. 9 | 9: 1,5,,7,9,11,13. |
| 02/05 |
Exam 1, Sec.10 Cosets |
10: 1,3,5,7,12,15. |
| 02/07 | Sec. 10, 13 |
|
| 02/09 | Sec. 13, 14 The quotient group. First Iso. Theorem. |
13: 1,3,5,7,9,13,17,28,29 14: 3,7,9,13 |
| 02/12 | Sec. 34, 15, 16 Iso. Theorems. Actions of groups on sets. |
34: 1,3 15: 3,5,7,9,11, 14, 35, 39, 40 |
| 02/14 | Sec. 16,11, 38 Actions and permutations. Direct products and Direct sums. Finetly generated abelian groups. |
16: 1,2,3 11:1,3,7,9,11,12,16,18,21,23. |
| 02/16 | Sec. 36 p-groups | 36: 1,2,3,4,5,6,11,13 |
| 02/19 | Exam 2 , Sec.36 Sylow theorems | |
| 02/21 | Sec. 36-37 Sylow Theorem | 37: 4,5,6,7,8,9. |
| 02/23 | Sec. 18,19, 26 Rings, ringhomomorphisms | 18: 1,3,5,7,9,11.15.19.19:1,3,5,9,11
|
| 02/26 | Sec. 26-21 quotient, ideals, | 26: 1-4,17,18,21,22. |
| 02/28 | Ring of fractions | 21: 1,2 |
| 03/12 | Sec. 27 ideals, prime and maximal. | 27: 1,3,24,27,29,30,31,33,35. |
| 03/13 | Sec. 45-46 P.I.D., U.F.D, E.D | 45: 1,5,15,1725,27. 46: 7,9, 15, 17. |
| 03/19 | Exam 3 | |
| 03/21 | Repetition | review Exam 1,2,3 |
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