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Homework Due Monday, July 28th

July 25, 2008 · Leave a Comment

Practice Problems: 1, 3, 5, 6 and 8 on the worksheet handed out in class. A copy of it can be found here.

Graded Problems: 2, 4 and 7 on the worksheet handed out in class. A copy of it can be found here.

Also, remember to turn in the entire group work packet.

There will be a quiz during the first 20 minutes of Monday’s class on 3.1 through 3.6.

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Homework Due Friday, July 25th

July 24, 2008 · Leave a Comment

No homework to turn in, but continue working on the group work exercises from class, and we will work on them at the beginning of Friday’s class.

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Homework Due Thursday, July 24th

July 23, 2008 · Leave a Comment

No homework due Thursday.

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Homework for Wednesday, July 23rd

July 22, 2008 · Leave a Comment

Practice problems: 3.4.2, 3.4.3, 3.6.2, 3.6.3

Graded problems: 3.8.10, 3.8.11

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Homework Due Tuesday, July 22nd

July 21, 2008 · Leave a Comment

Practice Problems: 3.1.1, 3.1.2 (b), 3.2.3, 3.3.1, 3.3.2, 3.3.3

Graded Problems:

  1. What is the coefficient of a^{100} b^{100} in (a+b)^{200} expanded out?
  2. 3.8.7

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Homework Due Monday, July 21st

July 18, 2008 · Leave a Comment

Practice Problems: 2.1.10, 2.1.12, 2.1.13, 2.3.1

Graded Problems:

  1. Use induction to prove that \sum_{k=1}^n k^3 = \frac{n^2(n+1)^2}{4}.
  2. Of 30 superhero fans, 14 like Aquaman, 14 like Batman, 6 like Superman and Aquaman, 7 like Superman and Batman, 8 like Aquaman and Batman, 2 like all three, and 7 don’t like any. How many like Superman? Use both Venn diagrams and Inclusion-Exclusion to get the answer.
  3. If there are 8 million people in NYC, and no human has more than 500,000 hairs on their head, what is the smallest number of people in NYC you can be sure have the same number of hairs on their head?

(EDIT Tuesday July 22nd) Also, you should turn in the problem from Thursday’s group work I assigned you to write up.

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Homework Due Friday, July 18th

July 17, 2008 · Leave a Comment

Practice Problems: None

Graded Problems: 1.8.5 and 1.8.6, either the algebraic explanation or the combinatorial explanation.

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Homework Due Thursday, July 17th

July 16, 2008 · Leave a Comment

Practice Problems: #1-9 on the in-class handout.

Graded Problems: #12 and #13 on the in-class handout.

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Homework Due Wednesday, July 16th

July 15, 2008 · Leave a Comment

Practice problems: 1.3.1, 1.3.2, 1.5.1, 1.5.6, 1.6.1, 1.7.4

Graded problems:

  1. How many ways can you divide 10 people into two groups?
  2. Missouri license plates have a 6 digit number, 3 digits followed by 3 letters. How many license plate numbers are there?

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Homework due Tuesday, July 15th

July 14, 2008 · Leave a Comment

Practice problems: 1.1.2, 1.1.3, 1.2.6, 1.2.8, 1.2.13, 1.2.15 and 1.2.17

Graded problems:

  1. How many ways can nine people be divided into groups of 3? Like the chess problem in class, the order of the people within each group doesn’t matter, and neither does the order of the groups themselves.
  2. Show A\cup\left(B\cap C\right)=\left(A\cup B\right)\cap\left(A\cup C\right)

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