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…
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…
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…
Computer and Calculator Computation of Elementary Functions (UMAP)
This module considers methods used to approximate the elementary functions on digital computers and electronic calculat…
A Blood Cell Population Model, Dynamical Diseases, and Chaos (UMAP)
This module gives an introduction to the modeling of blood cell populations and the role of modeling in the study of dy…
An Introduction to Analytic Projective Geometry and Its Applications (UMAP)
This module presents an intoduction to classical projective geometry via a mostly coordinate-free analysis approach bas…
The Drag Force on a Sphere (UMAP)
This module analyzes the drag force on a sphere moving through a fluid, by applying dimensional analysis to reduce the…
Iterative Reconstruction in Computerized Tomography (UMAP)
In this module, computerized tomography is introduced, leading to a system of linear equations. An iterative technique…
Heat Therapy for Tumors (UMAP)
This module discusses calculus techniques to gain insight into a problem of clinical and medical significance. The meth…
Newton's Method and Fractal Patterns (UMAP)
This module discusses Newton's method as an efficient iterative procedure for approximating zeros of a differentiable f…
Splines in Single & Multivariable Calculus (UMAP)
This module seeks to: 1) stregnthen students' intuition in multidimensional geometry; 2) provide exercises that are at…
How Old Is The Earth? (UMAP)
For a translation of UMAP module #719 into Portuguese see product #99719 Translation. This module provides the calculu…
Somewhere Within the Rainbow (UMAP)
This module uses Fermat's least-time principle for the path of light to derive the laws of reflection and refraction, a…
Knottedness (GeoMAP)
From magic tricks, to sailing, to Egyptian hieroglyphics, knots have appeared throughout history and in virtually all c…
Knottedness - Teacher's Notes (GeoMAP)
From magic tricks, to sailing, to Egyptian hieroglyphics, knots have appeared throughout history and in virtually all c…
Graph Models (GeoMAP)
Looking at the problems faced by delivery people, store owners, coaches, airline operations managers, and more, student…
Graph Models - Teacher's Notes (GeoMAP)
Looking at the problems faced by delivery people, store owners, coaches, airline operations managers, and more, student…