Layout Design and Sheet Metal Fabrication (UMAP)
A unit that involves calculus with layout design and sheet metal fabrication. In sheet metal fabrication a pattern is...
A Mathematical Model of a Universal Joint (UMAP)
In this module a universal joint is modeled to study its output pulsations. The angle of coupling that will alleviate...
Zeller's Congruence and Modular Systems (UMAP)
Section 1 introduces Zeller's congruence with motivational problems. Section 2 deals with the greatest integer functi...
The Cost Accounting Problem (UMAP)
This module that applies linear algebra to accounting. Several different techniques (including those used by accounta...
3 x 3 Rotation Matrices in Air Traffic Control (UMAP)
This module shows how orthogonal matrices are used to translate into local coordinates the airplane coordinate sent b...
Tiltup Panels: Locate the Pulleys (UMAP)
This module discusses the location of the pulleys for a cable rigging currently in use. The key differenetial equatio...
The Use of Continued Fractions in Botany (UMAP)
Students will 1) become acquainted with some of the most interseting aspects of continued fractions; 2) realize and a...
Evaluating and Analyzing Probabilistic Forecasts (UMAP)
This module presents an analysis of the quality of probabilistic forecasts, such as weather forecasting and sporting ...
Expected Loss in Keno (UMAP)
This module uses a simplified version of keno to explain the method for calculating probabilities and expected value ...
Getting in Touch with Touchy Questions (UMAP)
A unit that involves probability and statistics with questionnaires. This module explains a bias-reducing technique c...
Harmonic Motion and the Circular Functions (UMAP)
A unit that involves precalculus, harmonic motion, and circular functions. In this module an explanation of simple ha...
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 ...
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 ap...
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 deri...
Basic Descriptive Statistics (UMAP)
With completion of this module students will be able to: 1) use frequency distributions and histograms to summarize d...
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 t...
The Cobb - Douglas Production Function (UMAP)
A unit that applies calculus to economics and management science. This module develops the Cobb-Douglas Production Fu...
The Manufacturing Progress Curve (UMAP)
A unit that applies precalculus to industrial management. The purpose of this module is to teach students about learn...
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 giv...
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: ...
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 equatio...
Unconstrained Optimization (UMAP)
This module introduces Gradient Search Procedures, with examples and applications. Students are introduced to the use...
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 questi...
Dimensional Analysis (UMAP)
A unit that relates linear algebra to dimensional analysis. In using this module given a physical system and the fact...
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 ...
Perturbation Theory (UMAP)
This module gives a historical and self-contained introduction to the method of solving nonlinear differential equati...
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 pa...
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 cent...
Random Walks and Fluctuations (UMAP)
This module presents new and simplified proofs of several theorems, including the arc sine law for sojourn times. The...
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 chea...
Measurement Scales (UMAP)
This unit introduces four types of measurement scales -- nominal, ordinal, interval, and ratio -- and considers their...
Using Percent (HiMAP)
This comprehensive unit emphasizes that understanding percentages is essential for survival in today's world of compl...
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. Hi...
Symmetry, Rigid Motion, and Patterns (HiMAP)
Students examine patterns in wallpaper and ancient artifacts to discover the fascinating applications of basic aspect...
The Mathematical Theory of Elections (HiMAP)
This module illustrates how mathematics can design and analyze election and ranking methods. Preference schedules, fa...