Assignment 1
Carefully read the Grading Policy For This Course
Due Friday, 8-28-2009
Assignment 2 (Chapter 13:Fair Division)
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Adjusted Winner Method
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Problem 6 Page 426 [6 Page 495]
Problem 1 Page 427 [1 Page 497]
Completed by Friday, 8-28-2009
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Knaster Inheritance Method
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Problem 11 page 428 [11 Page 498]
Completed by Tuesday, 9-1-2009
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Knaster Inheritance Method
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Problem 11 page 428 [11 Page 498]
Completed by Tuesday, 9-1-2009
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Steinhaus Method of Cake/Pizza Slicing (Lone Divider)
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Redo Problem 27 page 429 [27 Page 500] with Player 2
assuming the position of (D)ivider and Players 1 and 3
assuming the roles of Choosers C1 and C2, respectively
Completed by Tuesday, 9-4-2009
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Banach/Knaster Method of Cake/Pizza Slicing (Last Diminisher)
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Redo Problem 27 page 429 [27 Page 500] with Player 2
assuming the position of P1 and Players 1 and 3
assuming the roles of P2 and P3, respectively
Completed by Friday, 9-11-2009
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Selfridge/Conway Envy-Free Method of Cake/Pizza Slicing (for 3 people)
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Redo Problem 27 page 429 [27 Page 500] with Player 2
assuming the position of P1 and Players 1 and 3
assuming the roles of P2 and P3, respectively
Completed by Friday, 9-11-2009
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Selfridge/Conway Envy-Free Method of Cake/Pizza Slicing (Stage 2)
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Finish Stage 2 of the example done in class on 9/4/2009
Completed by Tuesday, 9-15-2009
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Apportionment (Hamilton's Method)
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Problem [10 Page 535]
A country has four states, A, B, C, and D. Its House of
Representatives has 100 members. Using the data below
for the Old and New Census apply Hamilton's Method for
both and determine whether the Population Paradox results.
State Old Census New Census
A 5,525,382 5,657,564
B 3.470,152 3,507,464
C 3,864,226 3,885,693
D 201,203 201,049
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Total 13,060,963 13,251,770
Due Tuesday 9/15/2009
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Apportionment (Jefferson's Method)
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Rerwork Problem [10 Page 535] using Jefferson's Method
Due Friday 9/18/2009
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Apportionment (Webster's Method)
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Rerwork Problem [10 Page 535] using Webster's Method
Due Friday 9/18/2009
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Apportionment (Hill/Huntington's Method)
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Rerwork Problem [10 Page 535] using Hill/Huntington's Method
Due Tuesday 9/21/2009
Financial Mathematics
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Savings Models
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Problem 5 page 701 and the following problem[3, 5 & 6 Page 825]
Zero Coupon Bonds are financial instrument that are purchased
at a discount and pay a fixed and higher amount to the buyer
at maturity. The price you pay for the bond reflects the
present value that you would have needed to deposit to receive
the maturity value at a later date based on the given interest
rate, number of payments per year and the number of years to
maturity. If the maturity value is $10,000, the interest rate
is 3% and interest is compounded daily, and if the bond matures
in 8 years, what is the present value that one would need to pay
for this zero coupond bond?
Rework the above problem using 4% for the rate and all else
unchanged.
Due Friday, 9-25-2009
Problems 23, 24 page 702 [17,18 Page 827]
Due Friday, 9-25-2009
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Borrowing Models
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Problems 29, 30, 31 & 32 Page 727 [19, 20, 21 & 22 Page 854]
Due Friday, 10-16-2009
Problems 33, 34 , 35 & 36 Page 727 [23, 24, 25 & 26 Page 854]
Due Friday, 10-16-2009
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Probability
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Problems 3, 4, 5, 11 & 12 Page 274
[3, 4, 5, 11 & 12 Page 324 ]
Problems 1a, 3, 4, 12, 13, 17, 21 & 25 Pages 276
[1, 3, 4, 12, 13, 17, 21 & 25 Pages 326 ]
Due Tuesday 10-20-2009
Do problem on page C8 of handout
Due Tuesday 10-27-2009
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Euler Circuits
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Problems 1,3,4,5,6,7,8,10 Page 20 [1-7,9,13 Pages 22 ]
Problems 1,3,19,26,33 Page 22 [1,3,17,24,31 Page 25 ]
Due Tuesday 11-10-2009
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Hamiltonian Circuits
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Problems 1,2,4,5,8,14 Page 53 [1,2,4,6,8,13 Page 61 ]
Problems 1,9,35,41,50 Page 54 [1,7,33,39 & 48 Page 64 ]
Due Tuesday, 11-10-2009
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Exploring Data
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Problems 1,2,4,5
13a(but do mean, median, mode, stardard deviation, quartiles)
45 Page 175
[1,2,4,5
11a(but do mean, median, mode, stardard deviation, quartiles)
45 Page 210 ]
Due Tuesday, 12-1-2009
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Last Updated 11-24-2009