Modeling the Best Location for Heli-Hydrants and Fire Stations (Modeling Module)
The context for this module is modeling the placement of heli-hydrants and fire stations for use in fighting fires.
Th…
Polyominoes Investigated Via Partitions
Part of what makes the study of polyominoes without holes rich and intriguing is the different points of view that can…
Modeling the Best Location for Heli-Hydrants and Fire Stations
The context for this Pull-Out is modeling the placement of heli-hydrants and fire stations for use in fighting fires…
Consortium 129, Fall/Winter 2025
Table of Contents:
Editorial: 2026 Year of Math
MidMCM: 2024 Contest Results: The Modeling Musical Tour
Modeling Pu…
Data With The Stars
Background:
Dancing with the Stars (DWTS) is the American version of an international television franchise based on…
Creating a Moon Colony Using a Space Elevator System
Background:
Imagine a future where it’s possible for anyone to visit space by taking a leisurely and scenic ride fro…
Modeling Smartphone Battery Drain
Background:
Smartphones are indispensable tools in modern life, yet their battery behavior often seems unpredictable…
Passive Solar Shading
Background:
Passive solar shading has become a common addition to both housing and commercial buildings as a part of…
To Gen-AI, or Not To Gen-AI (or how to Gen-AI)? That is the Question!
Background:
In just a few years, Generative Artificial Intelligence (Gen-AI) has gone from a tool of limited capacit…
Managing Sports for Success
Background:
Fans tend to focus on the players on the field or court, but that is only the tip of the sports business…
UMAP Journal 46.4 Winter 2025 Edition
Table of Contents
Publisher’s Editorial
Doug Faires Lifetime Achievement Award for 2025
MCM Modeling Forum
Results…
Environmental Impact of Sport Mega-Events
Background
Every year, the Super Bowl brings together millions of people – from fans traveling to the host city, to…
Emergency Evacuation Sweeps
Background
During emergencies such as fires or gas leaks, rapid and orderly evacuation of a building is critical fo…
Responsible and Interesting Zoos!
Background
Zoological parks (zoos) exist to serve four primary purposes: (1) wildlife conservation, (2) scientific…
UMAP Journal 46.3 Fall 2025 Edition
Table of Contents
Guest Editorial
In Memoriam: Jan de Lange (1943–2025)
Editor’s Note: SCUDEM X 2025 Contest
ICM Mo…
Scene From Above: Modeling Environmental Changes (Modeling Module)
The context for this module is estimating changes to the environment based on map and satellite images.
The module beg…
Consortium 128, Spring/Summer 2025
Table of Contents:
Editorial: Do the “Henry” Math!
To Henry: From COMAP
Geometer’s Corner: Trilateration: One Key t…
Scene From Above: Modeling Environmental Changes
The context for this Modeling Pull‑Out is estimating changes to the environment based on map and satellite images.
The…
Integer Length Tetrahedra
Little is known about collections of 6 positive integer lengths which can be the edge lengths of a tetrahedron.
A tetr…
Trilateration: One Key to GPS Geometry
One of the technologies that has made our lives much easier is the Global Positioning System or as it’s known as GPS. T…
Solar Panel Installation: A Cost-Benefit Analysis
Bryn Mawr College features a course in which students do projects analyzing real-world issues of sustainability. In Fal…
The Mathematical Modeling Process With Eggs
The value of mathematical modeling has been lauded for many years, but in classes there is a tendency to spend more tim…
Modeling Nutrition in the Classroom
One of the best things about teaching mathematical modeling is the many opportunities to collaborate across disciplines…
A Nash Solution for the Ukrainian-Russian War
In the nearly three years since the escalation of the Ukrainian-Russian war, it has become increasingly clear that neit…
UMAP Journal 46.2 Summer 2025 Edition
Table of Contents
Editorial Presenting the UMAP Staff
Article A Nash Solution for the Ukrainian-Russian War
MathSer…
A Roadmap to a Better City
Background:
Transportation systems can help or harm a city’s growth and the lives of its residents. A successful tra…
Models for Olympic Medal Tables
In addition to watching individual events during the latest summer Olympic Games in Paris, 2024, fans followed the ov…
Global Sports League
Background
Fair competition in sports requires a balance of logistics, equity, and practicality, especially when or…
Cyber Strong?
Background:
More and more of our world has become connected through the wonders of modern technology. While this onl…
Making Room for Agriculture
Situation:
A forest filled with towering trees and diverse wildlife was cleared to make way for agriculture. The onc…
Testing Time: The Constant Wear On Stairs
The stone and other materials used to create steps are subject to constant, long-term wear, and the wear can be uneve…
Managing Sustainable Tourism
Juneau, Alaska, USA with a population of about 30,000 residents, set a record in 2023 with 1.6 million cruise passeng…
The Septaria Numbers
Septaria In Septaria, there are only seven numbers, six of which are classified as digits. The numbers 1, 2, and 3 cor…
The First-Year Seminar Assignment Problem: A Multi-Objective Optimization Approach
Introduction Introduction Many colleges and universities have a first-year seminar program, serving as a crucial bridg…
Gerrymandering: The Efficiency Gap
Abstract
As gerrymandering has become a powerful tool to create and maintain power in an increasingly polarized U.S. p…
Modeling Newtonian Cooling
Abstract We present a case study in which differential equations are applied to a real-world problem: protecting water…