Mathematical Modeling – Mathematical Association of America

Featured Resources

Full ESTEEM Ahead: Forging a Path Toward Statistics and Data Science Literacy

By Jana Talley ESTEEM II (Enhancing Data Science and Statistics Teacher Education--Transforming and Building Community) is a three-campus collaboration project funded through both NSF’s Noyce and IUSE programs. In the initial ESTEEM I project, the team integrated statistics content and pedagogy into undergraduate mathematics teacher preparation. The current project, ESTEEM II, is positioned to cultivate...

Calculus for Teachers: Creating Elliptic Functions

By David Bressoud @dbressoud As of 2024, new Launchings columns appear on the third Tuesday of the month. Genesis of the elliptic integral: David Bressoud is DeWitt Wallace Professor Emeritus at Macalester College and former Director of the Conference Board of the Mathematical Sciences. Information about him and his publications can be found at davidbressoud.org Download a Word file containing the...

Modeling Social Behavior

Mathematical modeling as something distinct from the main body of mathematics arose sometime in the 19th century, focused at first on problems from physics. Over the years it gradually incorporated questions in chemistry, and later in biology. Applications to the social sciences have been more recent. While we have more-or-less established laws in physics, chemistry...

Cover of Book "Modeling Social Behavior" by Paul E. Smaldino. The design features a blue circle in the center with black vertical lines overlapping from opposite directions. At the bottom right corner is the author's name in small black text.

Topics in Applied Mathematics and Modeling: Concise Theory with Case Studies

Subtitled “Concise Theory with Case Studies”, this book aims, according to the author, “… to provide a context for students to gain a deeper appreciation of mathematics and its connections with other disciplines.” It is intended for upper-level undergraduates in the mathematical and physical sciences and engineering who have a basic understanding of calculus, linear...

Book cover featuring the title "Topics in Applied Mathematics and Modeling" with a modern design and mathematical graphics.

A Ludic Journey into Geometric Topology

The preface to A Ludic Journey into Geometric Topology quickly draws the reader in with colorful images of Pac-Man, describing the toroidal landscape in which his digital adventures take place. This immediately sets the tone of the book and serves to motivate the primary themes within, namely geometry, topology, and humanity's efforts to understand our place in...

Modeling and Simulation of Complex Dynamical Systems

The six authors have written a detailed account of how students and teachers can use the Wolfram System Modeler to construct computer models of various systems. The systems are arranged in “virtual laboratories” covering such ideas as: projectile motion, a spring-damper system, rotational motion of bodies, a double pendulum, and a rotating swing, to name...

Accuracy of Mathematical Models: Dimension Reduction, Homogenization, and Simplification

Unambiguous determination of the accuracy and reliability of mathematical models is a complex problem, very difficult without the kind of complete quantitative verification that is rarely possible. Even when experimental data are compared to the results of a computation based on a mathematical model, differences can arise that are not due to the model itself,...

Advanced Problem Solving Using Maple

Subtitled “Applied Mathematics, Operations Research, Business Analytics, and Decision Analysis”, this book is the second volume of two. (The first was reviewed here). The title of the current book only differs from the title of the prior book by replacing “With MAPLE” for the first volume by “Using MAPLE” for the second. It is confusing, but...

Advanced Problem Solving with Maple A First Course

The aim of this book is to teach problem solving skills using examples from applied mathematics together with appropriate computational tools. The authors want to cover the span that goes from problem formulation to model construction and on through to analysis, testing of assumptions, and evaluation of the sensitivity of results. They rely on Maple...