Voronoi Diagrams & Proximity Problem (GeoMAP)
Many interesting problems in the real world can be thought of as proximity problems. In a proximity problem you are int…
Distribution of Resources (UMAP)
The people and the nations of the world own many resources: money, land, energy, food, oil, etc. One of the most import…
Modeling the Nervous System: Reaction Time and the Central Nervous System (UMAP)
This module describes the process by which the central nervous system responds to a stimulus, and explains how this pro…
Population Growth and the Logistic Curve (UMAP)
A unit that applies calculus to population growth. This module describes the mathematical assumptions that lead to the…
The Digestive Process of Sheep (UMAP)
This unit introduces a differential equations model for the digestive processes of sheep. Students describe the digesti…
Selection in Genetics (UMAP)
This module describes how a recurrence relation for gene frequency in the nth generation is obtained, and explains the…
Measuring Cardiac Output (UMAP)
This module develops a formula for computing cardiac output from observations obtained by dye dilution. The development…
Prescribing Safe and Effective Dosage (UMAP)
In this module two problems are posed: 1) determining the effect on blood concentration levels of repeated doses of a d…
Epidemics (UMAP)
A unit that involves calculus with the topic of epidemics. This module describes quantitatively how the course of an ep…
Tracer Methods in Permeability (UMAP)
For a translation of UMAP module #74 into Portuguese see product #99074 Translation. This module describes how radioac…
Feldman's Model (UMAP)
A unit that involves calculus and Feldman's model. With completion of this module students will be able to: 1) describe…
Graphical and Numerical Solution of Differential Equations (UMAP)
By the end of this module students will have learned how to: 1) draw a tangent field for a given first order differenti…
Recognition of Problems Solved by Exponential Functions (UMAP)
This unit introduces the equation y'=ky to describe proportionate rates of change. It studies properties characteristic…
Food Service Management and Applications of Matrix Methods: Food Service and Dietary Requirements (UMAP)
A unit that uses concepts and operations of matrices to optimize cost, quantities, and nutrient requirements for food s…
Computer Graphics and Applications of Matrix Methods: Three Dimensional Computer Graphics and Projections (UMAP)
In this unit, matrix concepts are used to create pictures on a display device that is controlled by a computer program…
Markov Chains and Applications of Matrix Methods: Fixed Point and Absorbing Markov Chains (UMAP)
The Markov process pulls together related prior probabilities into chains of events. The description of the process in…
Derivatives of Sines and Cosines (UMAP)
This module consists of several units: the first unit aproximates the derivatives of trigonometric functions; in the se…
Determining Constants of Integration (UMAP)
A unit that involves calculus and determining constants of integration. With completion of this module students will: 1…
Linear Programming Via Elementary Matrices (UMAP)
This module involves linear programming via elementary matrices enabling a student to learn how to use the simplex meth…
The Duration of a Bond (UMAP)
This module applies calculus and business mathematics to finance and investment analysis. The article introduces the co…
Biokinetics of a Radioactive Tracer (UMAP)
This module involves differential equations and the biokinetics of a radioactive tracer. Table of Contents: INTRODUC…
Fire Control and Land Management in the Chaparral (UMAP)
This module develops a Markov-chain model that can be used to evaluate strategies of fire control and land management i…
Time Resources in Animals (UMAP)
This unit presents an alternative to the classical optimal foraging models in behavioral ecology. The model presented i…
A Graphic Introduction to Functions: The Federal Income-Tax Law (UMAP)
This module helps students develop a visual intuition for working with mathematical funtions. It presents graphic examp…
Voting Games, Power Indices, and Presidential Elections (UMAP)
Simple proper voting games and indices of voting power are discussed. Several real-world examples are considered, and t…
Temperature-Humidity Indices (UMAP)
A unit that studies and compares a number of indices of discomfort that take into account both temperature and humidity…
Evaluating the Complexity of Structures Computer Programs (UMAP)
This module presents a mathematical study of the problem of evaluating the complexity of structured computer programs…
Applications of Calculus in Geometrical Probability (UMAP)
The geometrical probability model is defined in this module, and examples of probability problems are given in which co…
Motion of Artificial Satellites about the Earth (UMAP)
This module guides the readers through the analytic methods of determining the shape of the orbit and the period of rev…
Design of Simple Power Supplied Using Fourier Series (UMAP)
This module discusses the components of a typical power supply that uses household electricity. A simple mathematical m…
Rating Systems for Human Abilities: The Case of Rating Chess Skill (UMAP)
This module illustrates how to construct and use a mathematical model for rating chess ability. The model is probabilis…
Mortality Discount (UMAP)
A unit that applies the mathematics of finance to actuarial science. This module introduces the basic theory of life co…
Shoot Development in Plants (UMAP)
The aim of this module is to show how phyllotactic patterns can be described with just a few mathematical constants and…
Finding Vintage Concentrations in a Sherry Solera (UMAP)
This module models the solera method of making sherry and demonstrates that the method results in a mixture whose compo…
Exploring Power and Speed in Baseball (UMAP)
In this module students will: 1) use basic tools of Exploratory Data Analysis; 2) compare similar data sets with respec…
Information Theory and Biological Diversity (UMAP)
This module discusses and derives the key properties of one measure of diversity, the entropy function, and illustrates…