The Alexander Horned Sphere (UMAP)
A unit that involves applications of introductory topology. The purpose of this module is for students to: 1) understan…
Kinetics of Single-Reactant Reactions (UMAP)
A unit that involves calculus in the topic of kinetics of single reactant reactions. This module: 1) describes single r…
Radioactive Chains: Parents and Children (UMAP)
In this module equations for radioactive decay are set up and solved. The solution functions are graphed and equilibriu…
Pi is Irrational (UMAP)
The purpse of this module is to prove that pi is irrational, and to discuss the fact briefly in the context of algebrai…
The Wallis Appoximation of Pi (UMAP)
This module discusses some history of the approximation of pi. It also states and derives the Wallis formula for approx…
Buffon's Needle Experiment (UMAP)
A unit applying calculus to Buffon's needle experiment. With completion of this module students will: 1) understand the…
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 exp…
Horner's Scheme and Related Algorithms (UMAP)
The unit introduces Horner's scheme for evaluating polynomials, and generalizes with ease to related algorithms for con…
Algorithms for Finding Zeros of Functions (UMAP)
This unit discusses methods for finding the zeros of real valued functions of a real variable. It begins with the class…
The Impossibility of Trisecting Angles (UMAP)
One of the most intriguing geometrical problems of antiquity is to trisect an angle. Although E. Galois proved around 1…
Testing a Hypothesis: T-test for Independent Samples (UMAP)
This module presents a problem and its solution indicating the role of the statistical t-test of significance in the re…
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 simula…
Lagrange Multipliers: Applications to Economics (UMAP)
This module introduces some of the applications of multivariable calculus to utility theory. The Lagrange multiplier is…
Geometric Probability (GeoMAP)
Through the visual world of geometry, students experience probability as a tangible issue, allowing them to more easily…
Geometric Probability - Teacher's Notes (GeoMAP)
Through the visual world of geometry, students experience probability as a tangible issue, allowing them to more easily…
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…
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…
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…