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Volume IX
It Takes More Time
to Clean the Great Lakes
By Kim Deaton
Abstract:
This is a
mathematical model that determines the time needed to clean a pollution spill
out of the Great Lakes. This is a
continued investigation of a previous model that will now consider the amount of
time necessary for the pollution in
the Great Lakes to become evenly distributed before cleaning it out.
A Mathematical Look at Ground Water
By Laura Miley
Abstract:
The objective of this project is to determine hydraulic head
values within an aquifer using differential equations.
This problem is derived from an exercise within Charles R. Hadlock’s
book, Mathematical Modeling in the Environment, in which the hydraulic
conductivity is assumed to be a function, rather than a constant.
Crafty, Crazy Connections
A Breakdown by Size of the Translation
Polyominoes
By Jennifer Everson
Abstract: The
upper bound for the number of ways to box in the opponent’s squares or game
pieces without making a line connection in the game of Connections is 11,506.
This number was found using a computer breakdown of the translation
polyominoes into different sizes of squares and rectangles and the development
of formulas for how many x
x squares and x
y rectangles will fit on a 4
4 board (analogous to the section of the Connections board that can be boxed
in).
Supply
and Demand Put to the Test
By Trisha
Treml
Abstract:
We used differential equations to analyze price changes in a product.
In the process, we discovered mathematically the truth behind certain
economic principles that state market equilibrium will occur at the price when
demand equals supply. We proved
that the differential equation resulting from subtracting a positive increasing
function (supply) from a positive decreasing function (demand) will always
settle down to the equilibrium price.
Cleaning
Out the Great Lakes
By
Andy
Welch
Abstract: This is a
model that shows how long it would take to clean up the Great Lakes if there was
a time delay on the spread of pollution.
It shows the relationship between a time delay model to a non time delay
model.
The Ebola Epidemic: Is it a Real
Threat?
By Brooke E. Mote & Kristin R. Malin
Abstract: Using three differential equations, we studied the effects of
the Ebola virus on a small village.
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