L: Lays bok,
upplaga III,
AG: Kompendiet om Analytisk Geometri
A: Persson, Böiers bok, ÖB: Övningsboken till A (appendix A)
Läsvecka |
Bokavsnitt |
Innehåll |
---|---|---|
1 | L: 1.1 -
1.5, 1.10* AG: 1.1 - 1.2 |
Linjära ekvationssystem, Utökad
koefficientmatris, Trappstegsform, Reducerad trappstegsform, lösbarhet, Rn, Matrisekvationer, (*elektriska kretsar !) |
2 | AG: 1.3 - 1.5, 2.1 - 2.3 L: 1.7, 1.10* |
Skalärprodukt, Vinklar, Projektioner (på plan och linjer), Linjärt (o)beroende |
3 | L: 1.7 -1.9, 2.1-2.3, 2.8 -2.9 | Linjära avbildningar, Matrisalgebra,
Inversen till en matris, Delrum av Rn, Kolonnrum, Dimensionssatsen |
4 | L: 2.4 - 2.5 AG: 3.1 - 3.3 |
Blockmatriser, LU-faktorisering Kryssprodukt, Trippel skalärprodukt, Volymer och Determinanter |
5 | L: 3.1 - 3.3 L: 6.1 - 6.5 (delar av) |
Determinanter, Skalärprodukt, ortogonalitet och projektioner i Rn |
6 | L: 6.1 - 6.5 (delar av) A: Appendix A |
Komplexa tal., Geometri |
7 | A: Appendix A L+AG: Repetition |
Algebraiska ekvationer |
Läsvecka |
Rekommenderade övningar |
---|---|
1 | L: 1.1:
7, 11, 12, 13, 15, 16, 19, 21, 31, (33, 34); 1.2:
9, 11, 13, 15, 17, 21, 29, 33; 1.3: 11, 17, 23, 25,
26, 29 AG: 1.1: 1, 2, 3, 4, 5, 7; 1.2: 1, 5, 6, 7, 8, 9, 11; |
2 | L: 1.4: 7, 9,
10, 11, 17, 19, 22, 25, 37;
1.5: 5, 7, 11, 15, 23, 25; 1.10: 5, (6, 8, 12, 14) AG: 1.3: 2, 3, 4, 5, 6, 7; 1.4: 5, 6; 1.5: 1, 2, (5); 2.1: 1, 2, 4, 5 T: 1 |
3 | L: 1.7: 1,
5, 7, 9, 13, 21, 22; 1.8: 3, 6, 9, 16, 19, 21, 30, 33, 34,
(37, 39); 1.9: 3, 5, 13, 15, 22, 23, (37, 39); SE1: 1 L: 2.1: 5, 10, 17, 19, 22, 23, 24, 27, (37); 2.2: 1, 5, 13, 19, 31, 32, 35, (39, 40) AG: 2.2: 1, 2, 4, 6 ; 2.3: 1, 3, 4, 8, 10; 2.4: 2, 3, 4, 6 T: 8 |
4 | L: 2.3: 7, 9, 22, 26,
28, 33, 39, (45);
2.4: 1, 3, 7, 9, 17, 21, 23, (26); 2.5: 5, 7, 11,
21, 29, (31); L: 2.8: 3, 7, 11, 17, 23, 25; 2.9: 5, 9, 13, 19, 21; SE2: 1, 7, 13 (se sid. 40 i AG - projektion längs en vektor) AG: 3.1: 3, 4; 3.2: 1, 2, 3, 4, 5, 6 T: 4 |
5 | L: 3.1: 9, 11,
15, 17, 21, 23, 25, 27, 29, 37; 3.2:
11, 13, 15, 23, 25, 26, 27, 29, 31, 43 AG: 3.3: 1, 2, 4 T: 2, 6, 7 |
6 | L: 3.3:
5, 6, 13, 16, 21, 25, 27, 32, (35); SE3: 1, 7, 14, 15,
(19, 20) L: 6.1: 17, 18, 19, 21, 24, (28, 29, 30, 31), (34) ÖB: 2cef, 3dg, 4cd, 5ab, 10acde, 12cdeg, 14, 15, 17, 18cg, 19ed, 20c, 21c, 24, 25, 26bc, 27, 30 |
7 | ÖB: 32, 33, 34e, 35b, 39ab, 40, 41bd f, 42, 45, 48,
49, 50, 51, 53, 57a, 60d, 59d, 64, 65, 67 T: 3, 5 |