Series and Games: From Paradox to Paradox (UMAP)
Zeno's paradox of Achilles and the turtle was an early encounter between the human mind and the notion of infinite se...
An Iterative Approach to Linear Regression (UMAP)
In this module, a method is given for finding a line or plane fitted to a set of data by using the concept of best fi...
The Gradient and Some of its Applications (UMAP)
This module considers some relationships between curves and surfaces: How is the rate of climb in the vertical direct...
Evaluating Definite Integrals on a Computer: Theory and Practice (UMAP)
A unit that involves the theory and practice of evaluating definite integrals on a computer. By the end of this modul...
Fitting Equations to Data: Part 1 (UMAP)
With completion of this module students will: 1) be able to state four purposes for fitting an equation to data, and ...
Application of Vertex Coloring Problems of Graphs (UMAP)
With completion of this module students will: 1) know how to use graph theory to model simple problems; and 2) have a...
Approximations in Probability Calculations (UMAP)
With completion of this module students will be able to: 1) discuss how approximation is pervasive in statistics; 2) ...
Some Applications of Exponential and Logarithmic Functions (UMAP)
This unit contains five examples of exponential and logarithmic functions being used to study the behavior of real-wo...
Linear Programming in Two Dimensions: I (UMAP)
This module introduces a variety of linear programming problems and describes in detail a graphical method for solvin...
Genetic Counseling (UMAP)
A unit that involves probability and statistics and genetic counseling. The purpose of this module is to: 1) provide ...
An Application of Dihedral Groups (UMAP)
This module has students become familiar with the basic properties of a group through an approach which is concrete a...
An Introduction to Groups (UMAP)
A unit that involves applications of abstract algebra. By the end of this module students will be able to: 1) underst...
Calculus of Variations with Applications in Mathematics (UMAP)
A unit that involves calculus of variations with applications in mathematics. With completion of this module students...
Kepler's Law and the Inverse Square Law (UMAP)
A unit that involves Kepler's Law and the Inverse Square Law. With completion of this module students will be able to...
Applications of Nominal and Effective Rates of Interest (UMAP)
The purpose of this module is to: 1) introduce the terms nominal rate and effective rate; 2) show how they are used i...
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:...
A Linear Programming Model for Scheduling Prison Guards (UMAP)
A work-scheduling model for corrections officers at state correctional institutions is described. This model can elim...
Listening to the Earth: Controlled Source Seismology (UMAP)
The purpose of this module is to give students a better understanding of how mathematics can be used to learn about p...
Price Discrimination and Consumer Surplus (UMAP)
With completion of this module students will understand the concepts of price discrimination and consumer surplus. St...
Exponential Models of Legislative Turnover (UMAP)
The turnover of the membership of a legislative body is described by the exponential probability distribution, where ...
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 Diffusion of Innovation in Family Planning (UMAP)
From this module students develop flexibility in analyzing difference equations in quadratic format. Chaundy and Phil...
Growth of Partisan Support I: Model and Estimation (UMAP)
This unit introduces the student to nonlinear representation (first order quadratic difference equation) for politica...
Discretionary Review By the Supreme Court I: The Model (UMAP)
The frequency with which the Supreme Court of the United States hears cases on an issue often exhibits the pattern of...
The Richardson Arms Race Model (UMAP)
The purpose of this module is to: 1) demonstrate how interacting entities like nations can be represented by second o...
Primitive Shift Registers (UMAP)
After presenting the basic mathematical concepts and the basic shift register components, the unit discusses the desi...
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...
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...
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 ...
Tomography (UMAP)
This module will give students: 1) an aquaintance with a significant applied math problem utilizing Fourier Transform...
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; ...
Difference Equations with Applications (UMAP)
In this module techniques for solving first and second order linear difference equations are presented along with ill...
Developing the Fundamental Theorem of Calculus (UMAP)
The purpose of this module is to give students experience in: 1) computing limits of Riemann sums; 2) computing defin...
A Unified Method for Finding Laplace Transforms, Fourier Transforms, and Fourier Series (UMAP)
This unit presents a method which facilitates the finding of the Laplace transform, the Fourier transform, the comple...
The Contraction Mapping Principle (UMAP)
This module studies the Picard technique for estimating solutions of equations. The technique includes an iterative p...
Nuclear Deterrence (UMAP)
In this module students apply mathematical models to nuclear deterrence problems. Enlightened skepticism about the us...