330 Problem Sets


1: 2 Prove one of 29-34 and find one counterexample for 29-34 (try to be diverse); 36 or 37. 
    3 One of 26-28 (if you select 28, please only reference 26 and 27, do not repeat them); one of (29-32); 33  
    4 30, one of (29, 31, 32, 34), one of 38-41

2: 5 complete three of 41, 43, 45, 49, 51, 52, 54; and one of 55-57 56 or 57
    6 47; 46 or 50; 49 or 55
    7 19

3: 8 one of 40-43; and 44 or 45
    9 one of (27, 33, 39); one of (29, 31, 32); 34 or 35
    10 one of 27-29; 38
    11 one of 47-49; one of 50-51

4: 13 one of 45-46; one of 48-52; one of 53-55
    14 one of (26, 27, 28); one of 31-33; one of 34-35
    15 39 (counts as 5 problems)

Please find some comments on all attempted problems here.

5: 18 one of 37-41; one of 44-47; one of 48-51
    19 one of 26 or 30; one of (24, 27, 28)
    20 one of 27-28, one of 29-30

And now please find some more comments on all attempted problems.

6: 21 one of 6-11; two of 12-17
    22 one of 24-26; one of 27-28; one of 29-31
    23 one of 34-36; 37

Finally comment on all attempted problems (which was very close to all assigned problems, I believe).  Many good things to think about.