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 profi…
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 i…
Arrangements of Curves
Geometry has dramatically
evolved from metrical
work (measuring lengths,
angles, areas and perimeters)
involvin…
The Circle-Pass Matching Algorithm
Students' creative responses to an open-ended activity lead to a rich and interesting mathematical model and related ma…
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. Many…
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 Geomet…
Modeling Crystals and Quasicrystals
This Pull Out consists of four activities that develop concepts related to mathematical crystals and quasicrystals. Act…
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 their…
Transforming the Cube
This edition of Geometer's
Corner will focus on how
one can transform a Cube
or Hexahedron in a very
systematic…
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 sea…
Executive Summary
In the Interdisciplinary Contest in Mathematics (ICM) and Mathematical Contest in Modeling (MCM), a team provides a one…
UMAP Journal 40.1 Spring 2019 Edition
Editorial With 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-Mathemat…
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 th…
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 candi…
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 result…
Using Modeling To Reinforce Non-Mathematical Skills Part 2 - Teamwork
Even though we are math teachers by discipline, our students need to be prepared for an interdisciplinary world. A sole…
Tetrahedral Transformations
One of the great things that can happen in mathematics occurs when ideas in one discipline can be used to understand id…
Convex Isoscelestriangle Polyhedra
The study of convex (no holes or notches) 3- dimensional polyhedra whose faces are isosceles triangles (two sides of on…
Debating the Sorting of Debate Teams: Mathematical Modeling to the Rescue
Debate tournaments routinely involve between 40 and 400 teams and the goal, as in any tournament, is to determine the b…
Could These Bones Be Amelia Earhart's?
In this pull-out, students create models for predicting human stature from bone lengths. The goal for the development o…
UMAP Journal 40.2 & 40.3 Summer / Fall 2019 Edition - The 2019 ICM Contest Edition
Table of Contents Publisher's Editorial The Doug Faires Lifetime Achievement Award for 2019 Publisher's Note Guest E…
Consortium 117, Fall/Winter 2019
Table of Contents:
From the Editor's Desk: Making the World Great Again
GAIMME Time: Using Modeling to Promote Intere…
UMAP Journal 40.4 Winter 2019 Edition - The 2019 MCM Contest Edition
Table of Contents Publisher's Editorial ICTMA19 Hong Kong-A Report Editorial Note: Disclaimer MCM Modeling Forum Res…
Using Modeling to Promote Interest in Mathematics
We are going to take a short break from our series on Using Modeling to Reinforce Non- Mathematical Skills to discuss h…
Fractal Beginnings
Much of the geometry
you learn in school can
be used to describe
man-made objects. We see all
around us example…
From Trees to Polyhedra
Polyhedra have fascinated mankind since ancient times. Mathematical work about polyhedra has been done in Egypt, Greece…
Modeling Movies Using Network Science, Part 1
This pull-out is the first part of a two part series. In Activity 1, students are introduced to some basic definitions…
UMAP Journal 39.1 Spring 2018 Edition
Table of Contents Editorial Mathematics: Unreasonably Ineffective? Articles An Integer Programming Approach to Crop R…
The Effect of Brexit on EU Voting Power
Abstract The Treaty of Lisbon, the latest treaty governing law-making in the European Union (EU), went fully into effe…
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 p…
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 pa…
Randomness in Cryptography
Introduction This article is about randomness, in particular about random binary strings, and, even more particularly…