Homework and Handouts |
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Due Monday, July 2:
1.1(b): 1, 2
1.4(b): 5, 7, 10(i)-(v), 12
1.5(b): 1, 6, 9, 12, 13
2.1(b): 5, 8, 11, 12, 16
2.2(b): 2, 3, 5, 8
Due Monday, July 9:
2.3(b): 1, 2, 5, 10
2.4(b): 1, 3, 6, 8
Due Tuesday, July 17 (in my mailbox by 5 PM):
3.1(b): 4(i) and (ii), 6
3.2(b): 1, 6, 7
3.3(b): 1, 2, 4, 9, 12, 14
3.4(b): 1, 5, 6
Also do the following extra problem for (3.3)(b): Six students decide to play the game of ``you're the oddball.'' In this game each person flips a (fair, two-sided) coin. If there is someone whose flip does not match anyone else's, he is called the oddball and is thrown out. If no one is thrown out, then the game is played for another round. What is the probability that the first person to be thrown out is thrown out after the third round?
Due Monday, July 30:
4.3(b): 1, 3, 4
4.4(b): 1, 2, 4
Additional problems (some taken from Matters Mathematical by Herstein and Kaplansky):
Here R denotes the set of real numbers.
Extra credit (5 pt): Write down everything you remember about the class Sarah gave (on Hamiltonian cycles and the four-color theorem). What was your favorite thing about the class? Your least favorite? Did you feel the atmosphere was conducive to your participation in class discussions?
Due Monday, August 6:
Problems 1, 2, 3, 4, 5, 9 from
the permutations worksheet.
Due Wednesday, August 15:
The HW problems from the modular arithmetic worksheet 1 and from
worksheet 2
Due Wednesday,
August 22:
The HW problems from the final number theory worksheet. Also
Exercises 6, 7 on p. 107 and Exercise 1 on page 114 (from the
textbook).