The Three Dimensional Trapezoid Rule (UMAP)
The Three Dimensional Trapezoid Rule is a very simple ad reasonably accurate method which can be used to approximate th…
Atmospheric Pressure in Relation to Height and Temperature (UMAP)
A unit using calculus applied to the study of atmospheric pressure in relation to height and temperature. Students appl…
The Levi-Civita Tensor and Identities in Vector Analysis (UMAP)
A unit that involves applications of vector field identities. This module allows students to gain the ability to derive…
Basic Descriptive Statistics (UMAP)
With completion of this module students will be able to: 1) use frequency distributions and histograms to summarize dat…
An Application of Geometry to Economics: The .6 Rule for Industrial Costs (UMAP)
A unit that applies calculus to industrial economics. By completion of this module students will be able to examine the…
The Cobb - Douglas Production Function (UMAP)
A unit that applies calculus to economics and management science. This module develops the Cobb-Douglas Production Func…
The Manufacturing Progress Curve (UMAP)
A unit that applies precalculus to industrial management. The purpose of this module is to teach students about learnin…
Lagrange Multipliers and the Design of Multistage Rockets (UMAP)
A unit that uses Lagrange multipliers to compute the minimum total mass of an n-stage rocket capable of placing a given…
An Application of Calculus in Economics: Oligopolistic Competition (UMAP)
In this module some of the elementary models for duopolies that utilize calculus are examined. Table of Contents: 1…
Random Walks: An Introduction to Stochastic Processes (UMAP)
In this module random walks are introduced by an example of a gambling game. The associated finite difference equation…
Unconstrained Optimization (UMAP)
This module introduces Gradient Search Procedures, with examples and applications. Students are introduced to the use o…
Representing Integers as Sums or Differences of Squares (UMAP)
In this module the problem of presenting an integer as a sum or as a difference of two squares is studied. Key question…
Dimensional Analysis (UMAP)
A unit that relates linear algebra to dimensional analysis. In using this module given a physical system and the factor…
A Cash Flow Model for Magazine Subscriptions (UMAP)
In this module a matrix model is developed for projecting the quarterly cash flow of a magazine. Interpretations and va…
Perturbation Theory (UMAP)
This module gives a historical and self-contained introduction to the method of solving nonlinear differential equation…
The Statistical Evaluation of Burn Care (UMAP)
A model for the probability of death from a burn is developed in this module. This model is used in comparisons of pati…
Descriptive Models for Perception of Optical Illusions: Part I (UMAP)
In this unit, the historical background of the study of stable illusions of angle is sketched to show how a 19th centur…
Random Walks and Fluctuations (UMAP)
This module presents new and simplified proofs of several theorems, including the arc sine law for sojourn times. The t…
I Will if You Will...A Critical Mass Model (UMAP)
This module introduces the critical mass model, which is applied to examples in which individuals must decide to cheat…
Measurement Scales (UMAP)
This unit introduces four types of measurement scales -- nominal, ordinal, interval, and ratio -- and considers their u…
Using Percent (HiMAP)
This comprehensive unit emphasizes that understanding percentages is essential for survival in today's world of complic…
Problem Solving Using Graphs (HiMAP)
This examination of graph theory introduces techniques such as minimum-cost spanning tress, shortest-route algorithms…
The Mathematics of Conflict (HiMAP)
Students see how decision mathematics can be used to understand conflict and give us a new historical perspective. HiMA…
Symmetry, Rigid Motion, and Patterns (HiMAP)
Students examine patterns in wallpaper and ancient artifacts to discover the fascinating applications of basic aspects…
The Mathematical Theory of Elections (HiMAP)
This module illustrates how mathematics can design and analyze election and ranking methods. Preference schedules, fair…
Recurrence Relations - 'Counting Backwards' (HiMAP)
Introduce students to difference equations by showing their unique application to computer science. HiMAP Module 2. Hi…
Student Generations (HiMAP)
Introduces functions and strategies (heuristics) for students to generate and solve their own problems. HiMAP Module 7…
The Apportionment Problem: The Search for the Perfect Democracy (HiMAP)
A look at the apportionment of the House of Representatives, and how many representatives from each state are sent to C…
Fair Divisions: Getting Your Fair Share (HiMAP)
Demonstrates how mathematics can be used to divide objects fairly, such as the equitable distribution of an item that i…
A Mathematical Look at the Calendar (HiMAP)
This unit demonstrates mathematical techniques for finding the day of the week on a given date, finding mathematical pa…
Spheres and Satellites (HiMAP)
Students use graphing calculators to discover amazing geometric facts about our backyards, our world, and beyond. HiMAP…
The Mathematician's Coloring Book (HiMAP)
The four-color theorem is introduced through maps, pictures, and worksheets, which explore the branch of mathematics th…
Decision Making & Math Models (HiMAP)
This unit discusses the mathematical models that help solve three common management problems. The unit works well with…
A Uniform Approach to Rate and Ratio Problems (HiMAP)
A technique for solving rate and ratio problems, the Universal Rate Formula, is applied to a variety of mathematical si…
Explore Sorts (HiMAP)
Sorting algorithms are used by virtually every computer program. This module and companion Macintosh software examine s…
The Abacus: Its History and Applications (HiMAP)
Critical mathematics concepts such as using word names, standard notation, and place value are brought to life when stu…