Consortium for Mathematics and its Applications

Full Member Resources

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.

Looking for something in particular?

Or use the filter options in the Find Resources box below.

Guiding Students to Discover Counting Formulas - With a Modeling Twist

Introduction In undergraduate mathematics classes, counting is often taught by presentingformulas for students to me...

Discovering Bifurcation

Introduction The world is facing a wide range of ecological challenges, includingspecies extinction and the climate ...

Barging Ahead: Optimizing A Trip Upriver

Introduction Barges are an integral component of the freight transportation system.The capacity of a barge is 60 tim...

Minimodule PCBs in Your Body

Introduction Polychlorinated biphenyls (PCBs) are human-made organic chemicals.Exposure to PCBs can have adverse hea...

Folding Polyominoesto Boxes

The collection of squares shown in Figure 1(a) can be cut out and folded on the line segments in the interior ...

UMAP Journal 41.4 Winter 2020 Edition - The 2020 MCM Contest Edition

Table of Contents Publisher's EditorialRon Graham at Bell Labs: Stories related by Henry Pollak Editor's Note: Discla...

When Should Your Parents Take Social Security?

Introduction The U.S. Social Security Administration offers and administers retirement income to workers who have pai...

Mathematical Modeling of Patch Transdermal Drug Delivery Systems

Abstract We detail two different mathematical solution techniques for a system of first-order differential equations ...

How Data Detectives Came About

Data Detectives Many creative ideas and re-imaginings of business-as-usual have sprung from COVID-19, which began to...

Data Detectives: Homicides in Chicago

Introduction Woodlawn, Chicago In Fall 2019, my wife and I undertook a residency to learn the stark realities of life...

Writing About (COVID) Models: What Every Modeler Should Know

[EDITOR'S NOTE: This article was originally directed to journalists and titled "Epidemiological Models: 10 Things Jou...

Teaching Modeling: Tell Us How!

By the time students begin their post-secondary education, most have been preconditioned to expect a structured envir...

Magic: The Gathering, Integer Linear Programming and Arbitrage

Context and MotivationMagic: The Gathering® is a collectible card game created in 1993, and iswidely regarded as the ...

Why Monday Never Wins: An Instance of the Secretary Problem

Abstract We analyze statistics of the German TV show "Das Perfekte Dinner" (The Perfect Dinner), a cooking competitio...

Alice in E-Voterland

Introduction Early in February 2019, the Swiss postal authority announced a challenge: for four weeks, starting later...

Data Detectives: Support for Distance Learning at an Urban Charter School

Introduction My Fall 2020 sophomore-level Python Data Modeling Class had three main goals, all related to service-lea...

What is Math Modeling? It's a Noun! It's a Verb! It's a Mindset???

In order to teach modeling well, we need to understand what it is. The GAIMME Report stresses that modeling is a proc...

Snub Polyhedra

The last Geometer's Corner showed how the cube can be transformed into several Archimedian Solids, which are shown in...

Spanning Trees of n-Dimensional Cubes

Dots and lines diagrams known as graphs are a powerful tool for problem solving across many academic disciplines. Gra...

Modeling Botpaths with Linear Functions

The context for this Modeling Pull-Out involves determining paths for robots (botpaths) so that they avoid colliding ...

The MAA's Instructional Practices Guide and The GAIMME Report

In 2017 as part of a concerted effort to improve issues of access and equity in mathematics education, the Mathematic...

Alicia Boole Stott, The Duchess of Arcamedia

This Geometer's Corner stems from work I am doing on a book that focuses on how to use GeoGebra to construct the Plat...

Two-Edge-Length Polyhedra

Which 3-dimensional convex polyhedra, all of whose faces are triangles, can be made with isosceles triangle faces? In...

Modeling Pooled-Sample Testing, Part I

The context for this Modeling Pull-Out involves pooled-sample testing for diseases or drug usage in order to reduce c...

A Groundwater Contaminant Extraction Model Using Complex Potentials (ILAP)

Contents 1. Setting the Scene2. Complex Analysis Background3. Idealized Groundwater Flow4. Contaminant Extraction Mod...

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 ...

Find Resources

Control-Click to select multiple options.
⌘-Click on MacOS.

COMAP, Inc.

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.


© 2023 COMAP, Inc.
All Rights Reserved.