Assignment 1
Carefully read the Grading Policy For This Course
Due Friday, 1-22-2010
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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, 1-22-2010
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Knaster Inheritance Method
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Problem 11 page 428 [11 Page 498]
Completed by Tuesday, 1-26-2010
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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
Propose a way to handle the rather cumbersome case for
that was discussed in class
Completed by Tuesday, 2-2-2010
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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, 2-5-2010
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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 Tuesday, 2-9-2010
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Apportionment (Hamilton's Method)
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Problem [10 Page 535] (not in new edition..stated below)
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 Friday 2/12/2010
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Apportionment (Jefferson's Method)
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Rerwork Problem [10 Page 535] (not in new edition..data above) using Jefferson's Method
Due Friday 2/12/2010
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Apportionment (Webster's Method)
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Rerwork Problem [10 Page 535] (not in new edition..data above) using Webster's Method
Due Tuesday 2/16/2010
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Apportionment (Hill/Huntington's Method)
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Rerwork Problem [10 Page 535] (not in new edition..data above) using Hill/Huntington's Method
Due Tuesday 2/16/2010
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, 3-5-2010
Problems 23, 24 page 702 [17,18 Page 827]
Due Monday, 3-16-2010
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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, 3-19-2010
Problems 33, 34 , 35 & 36 Page 727 [23, 24, 25 & 26 Page 854]
Work Mortgage Equity Problem made available on SOCS and L Drive
Due Friday, 3-19-2009
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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 275
[1, 3, 4, 12, 13, 17, 21 & 25 Pages 326 ]
Due Friday 4-2-2010
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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 4-9-2010
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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, 4-13-2010
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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 Friday, 4-23-2009
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Final Project
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Take the link below to the grading policy page to learn about
final project. There is also a link there to the rubric that will
be used in grading.
Go To Grading Policy Page
Return to Spring 2010 Assignments Menu
Last Updated 4-22-2010