Mathematics 110 HomeworkMathematics 110, Professor A. Ogus
Fall, 2005

Homework

Due date Sections Problems
1/17* 1.1, 1.2 1.1: 1ac, 2cd, 3bc, 4. 1.2: 1 (all), 4 a c e, 7
1/24* 1.2, 1.3, 1.4 1.2: 9, 17, 18, 21,
1.3: 1, 2h, 8, 9, 13, 19, 23. 1.4: 1, 2a, f, 3 a, f, 4d, 7, 14
1/31* 1.5, 1.6 1.5: 1, 3, 5, 7, 10, 11, 15. 1.6: 1, 3, 5, 8, 12, 15
2/07* 1.6, 2.1, 2.2 1.6: 23, 26, 28, 29, 31
2.1: 1, 4, 6, 9 d e, 10, 12, 14a, 16, 22, 24, 28, 29
2.2: 1, 2 a c f, 4, 5, 9, 13, 14
2/14* 2.3, 2.4, 2.5 2.3: 1. 3, 8, 9, 11, 15
2.4: 1, 2a,c,f , 5, 10.
2.5: 1, 2ac, 6, 10, 11
2/21* 2.6, 3.1, 3.2 2.6: 1, 2, 3, 5, 11, 13abc, 14, 15, 16
3.1: 1, 2, 3c, 9.
3.2: 1, 2eg, 3, 4a, 5c, 6a, 7
2/28* 3.3, 3.4 3.3: 1, 2dg, 3dg, 6, 8. 3.4: 1, 2d, 5, 13, 15
3/07* 4.1--4.5 4.1: 1, 3b, 7. 4.2: 1, 4, 10, 25. 4.3: 1, 5, 21. 4.4: 1.,6. 4.5: 3, 6, 16
3/14* 5.1, 5.2 5.1: 1, 2ab,3bc, 4eh, 8, 14, 15a, 16, 22a, 23. 5.2: 1, 2ace, 3af, 7, 12, 13.
3/21* 5.2, 5.4 5.2: 18a, 19, 20, 22. 5.4: 1, 2ace, 4, 6bd, 9bd, 13, 18, 20
3/28* Spring Break
4/04* 6.1, 6.2 6.1: 1, 3, 4b, 5, 8b, 11, 15, 6.2: 1, 4, 5 2c,
4/11* 6.2, 6.3 6.2: 6, 7, 9, 10, 19ac, 20ac, 23, 6.3: 1, 2b, 3ab, 6, 9, 10, 12, 13,
4/18* 6.4, 6.5 6.4: 1, 3, 4, 6, 7, 8, 9, 12, 22b, 6.5: 1, 2ae, 5, 10, 15, 16
4/25* 7.1, 7.2 7.1: 1, 2ac, 3abc, 7, 7.2: 1,2, 7, 13, 17
5/02* 7.3 7:3: 1, 2ac, 3ad, 4ad, 8, 9, 12, 15
5/07* 7.4 7.4: 1, 2abc, 3ab, 5, 8, 10. and the problem * below

* Prove that an operator T on a finite dimensional vector space V is semi simple if its minimal polynomial has distinct irreducible factors (multiplicities all equal to 1).

*Note that assignments are subject to change up to the Friday before the due date. Finalized
assignments are marked with an asterisque.

Links to solutions will usually appear by Friday of each week. Homework turned in
after then will be discounted.