Mathematics and the Human Genome Part 2
At the end of Part I of this series we posed the question of how far apart (distant) the two "DNA sequences" ACTTCGA...
Mathematics and the Human Genome Part 1
In honor of the year 2000, many people have cast a backward glance at the last 100 years (or longer) to take stock o...
Difference Equations: A Gentle Introduction To Differential Equations
A differential equation (D.E.) is an equation containing one or more independent variables, functions, and derivativ...
Breeding Better Solutions: Evolving Good Golomb Rulers
In the previous Math Today column, Consortium 69, I introduced readers to the on-going search for optimal Golomb rul...
Join the Search for a Better Ruler
The search for useful rulers is heating up. This search is not for kings, queens, CEO's, or ordinary household meter...
UMAP Journal 28.2 Summer 2007 Edition
Table of Contents: Editorial Write Your Own Contest Entry Special Section on the ICM Results of the 2007 Interdisc...
Consortium 93, Fall/Winter 2007
Table of Contents: From the Publisher's Desk: BioMath Henry's Notes: Cycling of Expenses Historical Notes: Misno...
Scene From Above
The activities in this Pull-Out focus on maps, aerial photographs, and satellite images to track changes in land usag...
Cycling of Expenses
One of the enjoyable features of mathematical research at the old Bell Laboratories was the great variety of problems...
Misnomers in Mathematics Part 2
The history of mathematics abounds in concepts each bearing the name of some great discoverer or diligent student of ...
Geometry and The Internet
Over the years I have found myself using the Internet more and more in my teaching in a variety of ways. In particula...
Big Oaks From Little Acorns Grow
What makes mathematics a subtle, beautiful and exciting subject is the range of ideas that grow out of the most simpl...
Bidding Optimally on The Price Is Right
What is the best strategy in the bidding game on The Price Is Right? over the last twenty-four years, the television ...
Evacuating an Elementary School Building
Early in our mathematical modeling course, Penelope Smith, the student co-author, fulfilled her library research assi...
Winning Streaks, Shutouts, and the Length of the World Series (UMAP)
In a recent article in this Journal [Brunner 1987], the theory of absorbing Markov chains was applied to the expected...
Chapter 1: Measurement: Student Edition Developing Mathematics through Applications: Elementary (DevMAP)
Book/Course 1: Developing Mathematics through Applications: Elementary
Chapter 1 Measurement
1.1 Measuring Lengt...
Chapter 1: Measurement: Instructor Resources Developing Mathematics through Applications: Elementary (DevMAP)
Book/Course 1: Developing Mathematics through Applications: Elementary
Chapter 1 Measurement
Instructor Notes So...
UMAP Journal 28.3 Fall 2007 Edition - The 2007 MCM Contest Edition
Publisher's Editorial Math Is More: Toward a National Consensus on Improving Mathematics Education About This Issue ...
TechMAP - The Right Size - Student Edition
This module considers measurement, precision, and accuracy in a variety of contexts. Mathematical topics include mean...
TechMAP - The Right Size - Teachers Edition
This module considers measurement, precision, and accuracy in a variety of contexts. Mathematical topics include mean...
TechMAP - Formulas for Success - Student Edition
This module is a review of basic algebra in the context of formulas from a variety of areas, including landscaping, c...
TechMAP - Formulas for Success - Teachers Edition
This module is a review of basic algebra in the context of formulas from a variety of areas, including landscaping, c...
UMAP / ILAP Modules 2007: Tools for Teaching
Table of Contents: UMAP Modules 794 The Mathematics of Medical X-Ray Imaging 796 Photovoltaic Systems Off-Grid 797...
UMAP Journal 28.4 Winter 2007 Edition
Table of Contents: Guest Editorial A Necessary and Required Foundation Articles The Search for Planets Beyond the ...
Collecting Trading Cards (UMAP)
We consider various questions related to trading card collecting. Specifically, we find how much one must spend to ha...
The Search for Planets Beyond the Solar System
This article is about one big idea: "The rate at which the distance between us and a given star changes-it increases ...
Penney Ante: Counterintuitive Probabilities in Coin Tossing
Coin-tossing is generally viewed as the quintessential example of a random process. We focus on some counterintuitive...
Optimal Klackers
Klackers is a game in which players roll dice and then flip down tiles numbered 1 through 9 depending on the sum of t...
Finding a Hidden Coin
The St. Basil Cake In the Greek Orthodox tradition, New Year's Day is also the Feast Day of St. Basil (329-379), who...
Googling Markov
To Begin Our Session Have a question? Looking for an old friend? Need a reference for a paper? A popular and often e...
Variational Inequalities: One-Stop Shopping for Optima and Equilibria
The finite-dimensional variational inequality is a mathematical formulation not widely taught in undergraduate or gra...
Water Purification (ILAP)
Contents 1. Setting the Scene 2. Situation 1: Designing a New Facility 3. Situation 2: Modeling the Gate System 4. S...
The Art of Anonymity: Exploring DC-Nets
Introduction On June 17, 1972 five men broke into the headquarters of the Democratic National Committee at the Water...
Pigtail: A Pig Addendum
Introduction to Pig The object of the jeopardy dice game Pig is to be the first player to reach 100 points. Each tur...
Traveling Door to Door with a DNA Computer
Many real-world applications can be modeled with directed networks and posed as a Traveling Sales Problem (TSP). Howe...
A Revolving Door Birthday Problem
The traditional "birthday problem" considers the probability of two or more people in a group of N sharing a birthday...