SPRING '01

MAT 535 FINAL, Spring 2001 (with solutions): pdf file, ps file, dvi file, tex file.

You may pick-up your MAT 534 Fall 2000 finals by appointment until late May. You can discuss your MAT 535 Spring 2001 grade also until then.

FINAL GRADES. A (nearly) perfect final is A, regardless of homework or in-class participation. Otherwise, the grade is a combination of the final, homework and in-class participation, with big emphasis on the final.

9225: B-. It is very hard to understand what you mean, even after having 
guessed what you actually wrote. I gave you the benifit of the doubt.

8958: A. Good work. You missed one question. 
Because of the below average  homework you almost good an A-.

2138: A. Best final. 

1579: A. Best overall performance. You have missed the first problem.

2197: B-. You deserve more. But the final and the homework did not show that.
Your solution to problem 1 is elegant.

5489: A-. Overall good work. You seem to not perform well on tests.

5708: A-. Good work. The not excellent homework was not enough to recover
some mistakes in the final.

MAT 535 FINAL, Spring 2000 (with solutions): pdf file, ps file, dvi file, tex file.

Syllabus: pdf file, ps file, dvi file, tex file.

Homework sets:

Due 2/6: Prove the converse to Lagrange Thm. for abelian groups using 
Hungerford's II.2.2. I.6: 8. II.5: 1,3,5,6,8,10; II.6: 1,2,3,4.
Due 2/13: II.6: 4,5,6,9,10 and II.1: 1,2,6,7,9,10.
Due 2/20:  II.2: 1,2,5,6,7,11,12 AND I.9: 1,2,3,4,5,6,7,9.
Due 2/27: I.7: 2,3,4,5,6,7 AND I.8: 2,3,8,9,10,13,14 AND X.1: 1,2,3.
Due 3/6: III.1: 5,6,11,12,14,15,17 AND III.2: 3,6,9,10,13,18,21.
Due 3/13: III.3: 3,4,6,7,8,10,11,13 AND III.4: 1,2,3,4,5.
Due 3/20: NO HOMEWORK DUE THIS WEEK .
Due 3/27: Prove Lemma III,6.9 AND III.6: 1,2,3,4,5,7,14,16 AND 
IV.1: 4,5,6,8,10,11,12,13,15. Read IV.2. We will skip IV.3.
Due 4/3: Prove Thm IV.4.10. IV.4: 1,3,4,6,7,8,9 AND IV.6: 1,2,3,4,5.
Due 4/10: All exercises are from Ash's book (still in preparation) which notes 
I have handed out. 3.1: 3,4,6,9 AND 3.2: 1,2,3,6,  AND 3.3: 1,2,6,7,9.
Due 4/17: From Ash's book: 3.4: 2,4,8,11 AND 3.5: 1,3,5,6 AND 6.1: 2,3,5,6,7.
Due 4/24: From Ash's book: 6.2: 1,2,3,4,6 AND 6.3: 3,4,5,9,10,11.
Due 5/1: From Ash's book: 6.4: 1,2 AND From Hungerford: V.5: 2,3,5,9
AND From Ash's book: 6.5: 1,3,4,5,6,7.
Due 5/8: From Ash's book:
6.6 : 1,2,3,4,5,6,7 AND 6.7 : 1,2 AND 6.8 : 1,2,3,4,5.
This last assignement will be graded and made available to you
by TH 5/10, 12-noon (in an envelope on the door to my office).

A proof of the fact that the numbers ``e" and ``pi" are transcendental can be found in : Transcendental numbers, by A.B. Shidlovskii, de Gruyter.