Predictions
The activities in this issue's Pull-Out explore the question, "How can you identify and describe a relationship betw...
A Study of the Genetics of Sickle Cell Anemia
Sickle cell anemia is a genetic disease caused by a "defective" allele (or form) of a certain gene. Each person has t...
UMAP Journal 25.1 Spring 2004 Edition
Table of Contents: EDITORIAL "Party Like It's 1999!" SPECIAL MATHSERVE SECTION MathServe Lives On! Creating Week...
Using Fractals to Motivate Linear Algebra (UMAP)
We introduce a project that encourages the reader to "adopt" a fractal and then find out "everything" about it. We le...
Optimal Play of the Dice Game Pig (UMAP)
The object of the jeopardy dice game Pig is to be the first player to reach 100 points. Each player's turn consists o...
UMAP Journal 25.2 Summer 2004 Edition
Table of Contents: EDITORIAL Building a Modeling Community: MATHmodels.org SPECIAL SECTION ON THE ICM Results o...
Consortium 87, Fall/Winter 2004
Table of Contents: FROM THE PUBLISHER'S DESK Roots HiMCM NOTES Mathematical Modeling in High School HISTORICA...
UMAP Journal 25.3 Fall 2004 Edition - The 2004 MCM Contest Edition
Table of Contents: PUBLISHER'S EDITORIAL The Good Fight SPECIAL SECTION ON THE MCM Results of the 2004 Mathematic...
Cryptology and the Birthday Paradox
The birthday paradox is well known and appears in many popular books on mathematics. In the form in which it is most ...
Finite Mathematics as Environmental Modeling
This paper surveys the landscape of courses outside the track leading to calculus, describes an offering of a Finite ...
The Lexiconic Sections
Ah, the conic sections! Everyone knows (beware of statements that begin with the phrase Everyone knows . . . !) that...
What is Bayesian Statistics and Why Everything Else is Wrong
We use a single example to explain: *the Likelihood Principle *Bayesian statistics, and *why classical statistics can...
Arch Mathematics (UMAP)
In the springs of 1999 and 2001, I incorporated a series of Mathematica projects or "labs" into a vector analysis cou...
Recursion: Real and Imaginary Inflorescences (UMAP)
When a colleague from the Biology Dept. who knew I was interested in flowers introduced me to C.L. Porter's Taxonomy ...
Running a Faster Race (UMAP)
Owing to the enormous popularity of competitive running, there has long been widespread interest in finding methods t...
UMAP Journal 25.4 Winter 2004 Edition
Table of Contents: EDITORIAL The Mathematics of Democracy ARTICLES Optimal Growth and Productivity in Organizati...
Optimal Growth and Productivity in Organizations (UMAP)
We examine the interaction of growth and productivity. We put forth a very simple model to enable managers to underst...
The Dynamics of Ski Skating (UMAP)
We discuss the dynamics of ski skating, in particular, the optimization problem: Maximize average speed for a given p...
Wind Turbine Power Coefficient Optimization (UMAP)
We consider the important problem of optimizing a wind turbine's power coefficient the percentage of available wind p...
Immunological and Epidemiological HIV/AIDS Modeling (UMAP)
This module applies ordinary differential equations to both immunological and epidemiological aspects of HIV/AIDS mod...
UMAP Journal 26.1 Spring 2005 Edition
Table of Contents: EDITORIAL The Next 25 Years Editor's Note: Now in Color at a Computer Near You MATHSERVE Opti...
The Pythagorean Theorem of Baseball and Alternative Models (UMAP)
The "Pythagorean Theorem of Baseball" uses a simple function of a team's runs scored and runs allowed to predict the ...
Mathematical Optimization in the Management of Services (UMAP)
While students versed in mathematics are often exposed to methodologies involved in solving mathematical models, less...
Mathematics and Comfort (UMAP)
The concept of "comfort" has so many complications and implications that there is no hope of finding a global scienti...
Maximizing Fun at a Theme Park (UMAP)
A large theme park presents its guests with an interesting and challenging problem: choosing rides to visit and an or...
Modeling the Organization of a Hockey Tournament (UMAP)
Before this decade, interest in ice hockey moved at glacier speed from Canada and across the United States. Now profe...
Pancakes, Graphs, and the Genome of Plants (UMAP)
In 1975, Jacob Eli Goodman posed the following problem in the American Mathematical Monthly under the pseudonym of Ha...
Playing with Chromatic Kings (UMAP)
Determining winning strategies for the game of Chessboard Trichrome is an open problem appearing in Silverman [1991]....
Polynomial Algebra for Error Correction in Transmission of Binary Data (UMAP)
Error-correcting methods are used when some binary message digits (bits, with values 0 or 1) switch value during tran...
Searching the Web with Eigenvectors (UMAP)
How might we measure the importance of a web site? Well, it's important if other important web sites link to it (if t...
Simulation, the Classroom, and Software (UMAP)
Simulation of systems offers the opportunity for thorough understanding, if accessible computer software is available...
Social Statistics: Mathematics Meets Policy (UMAP)
What percentage of the labor force is unemployed? What percentage of household budgets is devoted to shelter? How rap...
Tchuka Ruma Solitaire (UMAP)
The solitaire game "Tchuka Ruma" is described as follows in the book
of mathematical diversions by Degrazia [1948, ...
The Best Way to Knock'm Down (UMAP)
"Knock 'm Down" is a game of dice that is so easy to learn that it is being played in classrooms around the world. Al...
The Mathematics of Heat Exchangers: Logarithms in Action (UMAP)
A heat exchanger is used to cool a hot liquid or to heat a cold liquid. An example of a heat exchanger in your home i...
The Optimal Positioning of Infielders in Baseball (UMAP)
When asked in the late 19th century to explain his success at the plate, baseball Hall-of-Famer "Wee Willie" Keeler r...