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.

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Buffon's Needle Experiment (UMAP)

A unit applying calculus to Buffon's needle experiment. With completion of this module students will: 1) understand t...

Strange Result in Visual Perception (UMAP)

A unit that applies calculus to physiology and psychology. This module shows how elementary calculus may be used to e...

Monte Carlo: The Use of Random Digits to Simulate Experiments (UMAP)

A unit that involves the use of random digits to simulate experiments. Students use the Monte Carlo technique to simu...

Measures of Voting Unit I: The Rice Index (UMAP)

A unit that applies probability and statistics to measures of voting. The purpose of this module is to help students:...

Growth of Partisan Support I: Model and Estimation (UMAP)

This unit introduces the student to nonlinear representation (first order quadratic difference equation) for politica...

Using Quarternion to Compose Rotations (UMAP)

The purpose of this module is for students to learn the definition of the quaternions and some of its algebraic prope...

Curve Fitting via the Criterion of Least Squares (UMAP)

In this module students will: 1) construct scatter diagrams; 2) choose an appropriate function to fit specific data; ...

Solving Differential Equations Analytically (UMAP)

A unit that involves applications of elementary differential equations. The purpose of this module is for students to...

Aspects of Coding (UMAP)

A unit using linear algebra in aspects of coding. The purpose of this module is to acquaint the undergraduate student...

A Double-Error Correcting Code (UMAP)

A unit that involves linear algebra and a double-error correcting code. The purpose of this module is to: 1) show stu...

Five Applications of Max - Min Theory from Calculus (UMAP)

With this module, the student will gain further knowledge of differentiation and optimization skills. Also, the stude...

Error - Correcting Codes 1 (UMAP)

A unit that involves linear algebra with error-correcting codes. Within this module students will learn to: 1) use si...

Differentiation, Curve Sketching, and Cost Functions (UMAP)

The purpose of this module is for students to: 1) understand the way in which continuous functions are used to approx...

Evaluation of Diagnostic Tests and Decision Analysis (UMAP)

Students using this unit will be able to: 1) calculate the predictive value of a positive or negative test result in ...

The Growth of Partisan Support II: Model Analytics (UMAP)

This unit investigates mathematical properties of first order quadratic difference equation a) equilibria, b) local s...

Feldman's Model (UMAP)

A unit that involves calculus and Feldman's model. With completion of this module students will be able to: 1) descri...

Mercator's World Map and the Calculus (UMAP)

A unit that applies calculus and trigonometry within the topic of Mercator's World Map. The history of Mercator's map...

Dynamics of Political Mobilization I: A Model of the Mobilization Process (UMAP)

With this module, the student gains an understanding of the role of recruitment and defection rates in political mobi...

The Geometry of an Arms Race (UMAP)

With completion of this module students will be able to: 1) understand some basic concepts in game theory; 2) apply t...

The Optimal Assignment Problem (UMAP)

This module presents a method of using aptitude scores to assign applicants who may have a variety of skills to jobs ...

Nuclear Deterrence (UMAP)

In this module students apply mathematical models to nuclear deterrence problems. Enlightened skepticism about the us...

Electrical Circuits and Applications of Matrix Methods: Analysis of Linear Circuits (UMAP)

A unit that exposes the students to several concepts: 1) to be able to construct a system of equations representing a...

Development of the Function y=Ae^cx (UMAP)

This unit involves applications of exponential functions. The applications present the concepts of half-lives and dou...

The Dynamics of Political Mobilization II: Deductive Consequences and Empirical Application of the Model (UMAP)

This module consists of a framework which is developed to deduce the properties of a mobilization process based on ma...

Public Support for Presidents II (UMAP)

This module will allow students to work with elementary gain/loss models, and understand some of the basic principles...

Public Support for Presidents I (UMAP)

This module will allow students to work with elementary gain/loss models, and understand some of the basic principles...

Epidemics (UMAP)

A unit that involves calculus with the topic of epidemics. This module describes quantitatively how the course of an ...

The Alexander Horned Sphere (UMAP)

A unit that involves applications of introductory topology. The purpose of this module is for students to: 1) underst...

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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.


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