Consortium for Mathematics and its Applications

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COMAP offers members access to numerous mathematics and modeling programs, products, and materials in a variety of collections and formats. Our online library has more than 1500 resources. This page lists resources with most recent first. Please use the Search box or the filter options in the Find Resources menu to assist in locating desired products. For additional assistance or if you have questions, please don't hesitate to contact us.

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Minimodule and Model Reality Check Sustaining Fisheries

Introduction Consider a stock of fish. If there is no harvest, the stock will tend to renew itself with births and de...

The Dogbone is the Unique Auto-Reversing Track Configuration

Introduction Motivated by one author's grandsons play with Fisher-Price® Thomas & FriendsTM TrackmasterTM, a batt...

How Much Food Could Our School Grow? An Example Modeling Problem.

For the past few years, in GAIMME Time, we have discussed the benefits of teaching mathematical modeling as well as s...

Polygonal Numbers and The Algebra of Sequences

This edition of Geometer's Corner develops one of my all-time favorite topics to teach. What follows can be incorpora...

How Many Ties? The Maximum Possible Debate Bracket Problem

In the course of modeling and studying the fairness of debate tournaments, an interesting problem arose that is also ...

Graphs from Rectangles

At its core mathematics is concerned with the study of patterns of different kinds. What is perhaps surprising is tha...

Modeling Pooled-Sample Testing, Part II

The context for this Modeling Pull-Out involves modeling pooled- sample testing for diseases or drug usage in order t...

Data Detectives: ShotSpotter in Chicago

Introduction ShotSpotter is a technology to detect, locate, and report gunshots to police. Its deployment in Chicago ...

UMAP Journal 41.1 Spring 2020 Edition

Table of Contents Guest EditorialAdvanced Mathematical Modeling ArticlesMr. Markov Plays Goose Solitaire The Variatio...

Math for Drummers (UMAP)

This Module presents musical and mathematical topics in a general education mathematics course entitled Sounding Numb...

Change-Point Models: What Are They and Why Do We Need Them?

Introduction So what is a "change point"? Formally, a change point is a point at which the statistical properties of ...

Mr. Markov Plays Goose Solitaire

Introduction The Game of the Goose (hereafter simply "Goose") is an early modern board game, existing as early as 146...

The Variational Principle and Einstein's Gravity

Introduction In Isaac Newton's theory, gravity is a force between masses. You are probably familiar with the equation...

UMAP Journal 41.2 Summer 2020 Edition

Table of Contents Guest Editorial Down with Base-10 Logarithms! Articles Fish Allocation: KKT to the Rescue Optimizin...

Optimizing Disaster Relief From a Navy Aircraft Carrier

Abstract We discuss maximizing delivery of aid from an aircraft carrier to people in an area hit by a disaster, such ...

Consortium 118, Spring/Summer 2020

Table of Contents: From the Editor's Desk: From All of Us at COMAP GAIMME Time: Using Modeling to Reinforce Non-Mathe...

Math for Poets (UMAP)

This Module presents musical and mathematical topics in a general education mathematics course entitled "Sounding Num...

Fish Allocation KKT to the Rescue

Abstract We solve an actual practical problem for a fish farm. We model the problem as an inequality-constrained prof...

Modeling Movies Using Network Science, Part 2

This pull-out is the second part of a two-part series. The expectation is that students have completed the activities...

Arrangements of Curves

Geometry has dramatically evolved from metrical work (measuring lengths, angles, areas and perimeters) involv...

The Circle-Pass Matching Algorithm

Students' creative responses to an open-ended activity lead to a rich and interesting mathematical model and re...

A Circle Tangent Medley

One of the classic problems in ancient geometry is: given three circles A, B, and C that are pairwise tangent, ...

Using Modeling to Reinforce Non-Mathematical Skills Part 3

As instructors of mathematics, we cannot overlook the diverse array of students that pass through our classrooms. Man...

UMAP Journal 41.3 Fall 2020 Edition - The 2020 ICM Contest Edition

Table of Contents Publisher's Editorial A Note of Thanks ICM Modeling Forum Results of the 2020 Interdisciplinary Con...

Consortium 119, Fall/Winter 2020

Table of Contents: From the Publisher's Desk: How to Say Thanks GAIMME Time: Exercises Encouraging Creativity Geomete...

Modeling Crystals and Quasicrystals

This Pull Out consists of four activities that develop concepts related to mathematical crystals and quasicrystals. A...

Exercises Encouraging Creativity for Mathematical Modeling

GAIMME Time Editor's note: The goal of GAIMME time is to facilitate instructors as they include more modeling in thei...

Transforming the Cube

This edition of Geometer's Corner will focus on how one can transform a Cube or Hexahedron in a very systemat...

A Method for Ranking Teams Based on Simple Paths

Abstract Rankings play an important role in sports, as well as in the evaluation of proposals and the operation of se...

Executive Summary

In the Interdisciplinary Contest in Mathematics (ICM) and Mathematical Contest in Modeling (MCM), a team provides a o...

UMAP Journal 40.1 Spring 2019 Edition

EditorialWith Many Thanks- And a Plea for Help Final Farewell to a Founder Articles You Only Need a Bit of Luck to Wi...

Consortium 116, Spring/Summer 2019

Table of Contents:From the Editor's Desk: HiMCM: Get Involved! GAIMME Time: Using Modeling to Reinforce Non-Mathemati...

You Only Need a Bit of Luck To Win MTVs Are You the One?

Introduction Are You the One? is an MTV reality show in which a cast of single women and single men try to discover t...

The Cutoff Paradox in the Kansas Presidential Caucuses

Abstract The Kansas Republican Party uses an apportionment method of its own invention to apportion delegates to cand...

The Coming Great Pall of China: Demography of a One-Child Family

Introduction This department of The UMAP Journal is devoted to the final step in mathematical modeling: comparing the...

Complexity Modeling: Solving Modern Problems and Confronting Real Issues

Introduction Applied mathematics and science have made substantial progress in modeling methodologies that have resul...

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COMAP develops curriculum resources, professional development programs, and contest opportunities that are multidisciplinary, academically rigorous, and fun for educators and students. COMAP's educational philosophy is centered around mathematical modeling: using mathematical tools to explore real-world problems.


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