Math 355 - Mathematical Modeling

Homework

I will attempt to remember to post homework assignments and due dates here, but you should not count on this page being completely up to date.

Assigned Due Assignment
Friday, Jan. 13 Friday, Jan. 20 description (MS Word)
Friday, Jan. 20 Wednesday, Jan. 25 description (MS Word)
  Wednesday, Jan. 25 Topic for Individual project due
Monday, Jan. 23 Friday, Jan. 27 Chapter 1:  #2, 3, and 4 as well as:

A:  For the setting of Ex. 1.1, prove that if there are n players, then you can not have a team with exactly n-1 players on it.

Monday, Jan. 23 Monday, Jan. 30 Chapter 1:  #8, 9
Friday, Jan. 27 Wednesday, Feb. 1 Section 2.1:  #2, 12ac
  Friday, Feb. 3 Section 2.1:  #12b
Wednesday, Feb. 1 Monday, Feb. 6 Section 2.1:  #3, 6, 9
Friday, Feb. 1 Wednesday, Feb. 8 Section 2.1:  #5, 13
Wednesday, Feb. 8 Monday, Feb. 13 Section 2.2:  #12 (note that I gave the answer for x(t) in class, but you still have to show it's true and do the comparison)
Friday, Feb. 10 Wednesday, Feb. 15 Section 2.2:  #6, 7 (I don't expect you to do these analytically - use Mathcad, and provide printouts of at least a couple of the relevant graphs)
Monday, Feb. 13 Friday, Feb. 17 Section 2.2:  #10
Wednesday, Feb. 15 Monday, Feb. 20 Section 2.3:  #A, 7, 8

A:  Find the group preference ranking using pairwise comparison for the class data on which elective you would most like to take.  Do you find an intransitivity paradox or not?

Note:  For #7b you will need to create a new group preference schedule (the table).

Friday, Feb. 17 Wednesday, Feb. 22 Section 2.3:  #14, 19a
Friday, Feb. 17 Friday, Feb. 24 Section 2.3:  #B, 2, 6

B:  Find the group preference ranking using the sequential-voting technique with at least three different orders or setups for the sequence for the class data on which elective you would most like to take.  Note that you get the same answer in each case.  Why will this occur in this case?

Monday, Feb. 20 Monday, Feb. 27 Section 2.3:  #C, 21

C:  Find the group preference ranking using the Borda count method for the class data on which elective you would most like to take.

Typo:  In #21a, the method should be "pairwise comparison and simple-majority decision process" (or what I called the "pairwise method" in class).

Wednesday, Feb. 22 Wednesday, March 1 Section 2.3:  #20

Clarification:  In #20c, the question is to determine whether or not there is a bogus preference ranking for E that will result in alternative X being selected as the most preferred.

Monday, March 20 Friday, March 24 Section 2.4:  #1bc
Monday, March 20 Monday, March 27 Section 2.4:  #1de
Friday, March 24 Wednesday, March 29 Section 2.5:  #1, 4
Friday, March 24 Friday, March 31 Section 2.5:  #9
Wednesday, March 29 Monday, April 3 Section 2.6:  #2, 3b, 5
Wednesday, March 29 Wednesday, April 5 Section 2.6:  #7, 8, 9
Friday, March 31 Friday, April 7 Section 2.7:  #2, 4
Monday, April 3 Monday, April 10 Section 2.7:  #7, 13
Friday, April 7 Monday, April 17 Section 2.8:  A:  Choose a string of length eight of successes and failures (that is different from the one I did in class or all successes or all failures) and find the probabilities p1 and p2.  *Students who I know work together should have different strings!
Monday, April 10 Wednesday, April 20 Section 2.8:  3, A (see mathcad file)
Wednesday, April 19 Monday, April 24 Tannenbaum Chap 1:  5, 10, 17, 26, 27, 33, 54, 71
Friday, April 21 Wednesday, April 26 Tannenbaum Chap 1:  56, 64, 52, 67
Monday, April 24 Friday, April 28 Tannenbaum, Chap 1:  42, 44, 59, 70 and Chap. 2:  4, 8, 49
Wednesday, April 26 Monday, May 1 Tannenbaum, Chap 2:  14, 18, 43, 55, 26, 28, 33, 45
Friday, April 28 Wednesday, May 3 Tannenbaum, Chap 2:  48 and 58 and Chap 3:  4, 8, 65, 10, 12, 60
Monday, May 1 Tuesday, May 9 (at noon) Tannenbaum, Chap 3:  17, 23, 54, 44, 59, 64, 67
END OF HW    

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Last Revision:  01/04/2008

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