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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An Integer Programming Approach to Crop Rotation Planning at an Organic Farm

Abstract Crop rotation is an important component of organic farming because it can help to maintain healthy soil and ...

Some Limitations of Financial Models

Abstract This paper is motivated by the essays of N.N. Taleb [2001; 2007; 2008] on randomness in the real world. In p...

Randomness in Cryptography

Introduction This article is about randomness, in particular about random binary strings, and, even more particularly...

Consortium 114, Spring/Summer 2018

Table of Contents:From the Editor's Desk: Signs of the TimesMath Today: Mathematical Aspects of GerrymanderingGeomete...

Once in a Blue Moon

The context of this Pull-Out is the changing appearance of the moon from night to night as well as its effects on Ear...

Mathematical Aspects of Gerrymandering

As I write, the Supreme Court is hearing cases about gerrymandering, and at the center of the arguments are issue...

Iterating Complex Linear Functions

When you iterate a function, you create a sequence. This sequence is called an orbit. Much has been written a...

The 'Middle' of a Graph: Partitions, Eccentricities and Degress of Vertices in a Graph

Diagrams consisting of dots and lines (see Figure 1) called graphs are a very powerful visual tool for helpin...

UMAP Journal 39.2 Summer 2018 Edition - The 2018 ICM Contest Edition

Table of ContentsPublisher's EditorialThe Doug Faires Award for 2018 Modeling ForumResults of the 2018 Interdisciplin...

Consortium 115, Fall/Winter 2018

Table of Contents: From the Editor's Desk: IM2C - Why Do We Do This? GAIMME Time: Using Modeling to Reinforce Non-Ma...

UMAP Journal 39.3 Fall 2018 Edition - The 2018 MCM Contest Edition

Table of Contents Publisher's EditorialWhat Good Are Contests? Editor's Note MCM Modeling ForumResults of the 2018 Ma...

Classification Using CART Models

Classification and Regression Trees (CART) are often used in data mining with the goal of creating a model that predi...

Tetrahedra

Tetrahedra, the analogue of triangles in the plane for three-dimensional Euclidean space, are surprisingly unst...

Playing With Symmetry

This edition's Geometer's Corner is part 1 of a two-part series on symmetry and how it is used in chemistry. I ...

Using Modeling to Reinforce Non-Mathematical Skills Part 1 - Communication

We know, we know... This is a journal aboutteaching mathematics.However, we should rememberthat even in our roles asm...

UMAP Journal 39.4 Winter 2018 Edition

Table of Contents Publisher's EditorialAI-Should We Be Worried? ArticlesA Method for Ranking Teams Based on Simple Pa...

The Discrete Cosine Transform (UMAP)

TARGET AUDIENCE: Students in introductory linear algebra, particularly students in engineering and communication theo...

Oracles and Signatures

Introduction Digital signatures are all around us (though barely noticeable by the average person), especially in ele...

GAIMME Time: Introducing : Transforming Textbook Word Problems

After years of teaching from textbooks, we recognize that it can be hard to imagine yourself generating a genuine ope...

Trees Built for Biologists

Where would physics and engineering be without mathematics? We are familiar with how mathematics interacts, i...

The Math Inquiry Workshop as a Preparation for the HiMCM

Introduction Luther College received a generous grant from the Howard Hughes Medical Institute (HHMI) to support a co...

I Think Knot : Modeling with Knots and Links

Activity 1 provides an introduction to mathematical knots. Students learn about trefoil, figure-eight, and pentafoil ...

Folding Clusters of Equilateral Triangles

Why a Column Encouraging Student Research? There are many reasons mathematics is taught so extensively in gr...

2-Dimentional Models of 4-Dimentional Figures

In my last column, I focused on using GeoGebra to construct models of tetrahedra that can then be used to explo...

Original Sources and The Lessons of History

Series Introduction Stories and Sources in the History of Mathematics I am very pleased to be given the opportunity t...

UMAP Journal 38.2 Summer 2017 Edition - The 2017 ICM Contest Edition

Table of ContentsGuest EditorialLearning and Teaching Interdisciplinary Modeling ICM Modeling ForumResults of the 201...

UMAP Journal 38.3 Fall 2017 Edition - The 2017 MCM Contest Edition

Table of Contents Publisher's EditorialThe Doug Faires Awards for 2017 MCM Modeling ForumResults of the 2017 Mathemat...

Consortium 113, Fall/Winter 2017

Table of Contents: From the Publisher's Desk: Needed Math GAIMME Time: Assessing Student Modeling work History of Ma...

GAIMME Time: Assessing Student Modeling Work

Think back to when you first realized that you enjoyed mathematicsĶ For many of us, that enjoyment came from the pur...

Deal or No Deal? Expected Value, Utility Theory, and the Role of the Banker

This Pull-Out consists of three activities. The context for Activity 1 is a school's fundraising carnival. Students c...

Drawings of Number Sequences

This research problem involves translating between geometric drawings and sequences of numbers associated with th...

Psychology, Applications to Decision Making

What subjects are sciences? A list often begins with chemistry and physics and a subject that is sometimes ta...

A General Education Course From Primary Historical Sources

Introduction General education courses at colleges and universities in the United States have been a requirement for ...

A Mathematical Investigation Motivated By a Question About Baseball

Anatural setting for the mathematical exploration that follows is baseball, but this does not imply that we a...

UMAP Journal 38.4 Winter 2017 Edition

Table of Contents EditorialCalculus Is Irrelevant ArticlesAircraft Longitudinal Oscillations You Win Some and You Los...

Disaster Relief Modeling (ILAP)

Contents1. Setting the Scene2. Discrete Dynamical System Model of Effective Response3. The PEARL Index and Equitable ...

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