Simple Mortality Functions (UMAP)
This module involves applied mathematics to the topic of human mortality and introduces some simple functions which d...
Two Level Factorial Designs and Yates' Analysis (UMAP)
This unit shows one way to analyze the results of a two-level factorial experiment. Students will learn how to: 1) us...
Round Numbers: An Introduction to Numerical Expression (UMAP)
In this module the notions of precision (absolute error) and accuracy (relative error) are introduced in the context ...
An Application of EDA to the 1980 New York City Marathon (UMAP)
A unit utilizing probability and statistics, applying EDA to the 1980 New York City Marathon. In this module both exp...
Surveying Outer Space (UMAP)
A unit that applies trigonometry to astronomy. This module demonstrates how trigonometry can be used to determine the...
The Chinese Postman Problem (UMAP)
A unit that applies finite mathematics to optimization focusing on the Chinese Postman Problem. This module introduce...
Concentration of Solutions (UMAP)
A unit that applies arithmetic to allied health. Upon completion of this module students should be able to: 1) calcul...
Simpson's Paradox (UMAP)
A unit that applies elementary statistics to population studies and data analysis. In this module, students learn by ...
Music and the Circular Functions (UMAP)
A unit that relates circular functions to the topic of music. This module represents a simplified version of how soun...
Traversability in Graphs (UMAP)
This module provides an elemntary introduction to Eulerian and Hamiltonian graphs by modeling the Chinese Postman Pro...
Random Numbers (UMAP)
This module involves applications of statistics. In this module three facets of random numbers are considered: ways t...
Determining the Reachability of a Digraph (UMAP)
This module provides an investigation of digraphs, including the determination of the existence of paths from point A...
Series Reversion and Applications (UMAP)
This module applies advanced calculus to astronomy and engineering. Five conceptually different techniques for findin...
Inversion Theory and Peaucellier Linkage (UMAP)
A unit that involves inversion theory and Peaucellier linkage. Table of Contents: 1. INTRODUCTION 2. THE CIRCLE O...
Reflections, Rotations and the Sextant (UMAP)
This module applies geometry to the topic of navigation. It focuses on the navigational instrument, the sextant. Ta...
The Spacetime World: Introduction to Spacetime (UMAP)
By an approach more geometrical than algebraic, this unit makes a quantitative understanding of relativistic kinemati...
Methods of Linear Programming for Students of Mathematics and Science (UMAP)
This module involves methods of linear programming for students of mathematics and science. Table of Contents: 1. ...
Determining the Size for a Mussel Culture Farm in a Tidal Estuary Based on Local Biological Factors (UMAP)
A unit that involves pre-calculus in determining the size for a mussel culture farm in a tidal estuary based on local...
Elements and Applications of Integral Equations (UMAP)
This module deals with the Volterra and Fredholm integral equations and their applications. In addition to problems t...
Whales and Krill: A Mathematical Model (UMAP)
A predator-prey system involving whales and krill is modeled by a system of differential equations. Although the equa...
Simple Capital Theory (UMAP)
This module applies multivariable calculus to economics. Some of the models which economists have developed to show h...
Self-Organizing Files (UMAP)
This module applies linear algebra to computer science. Students will become familiar with probabilistic modelling of...
Classifying Probability Distribution Functions (UMAP)
In this module, the Cantor set is used to construct a distribution that is not discrete or absolutely continuous. An ...
Analysis of the Vibrating Spring Using the Complex Method (UMAP)
This module uses differential equations to analyze a vibrating spring by the complex method. The motions of a vibrati...
Methods of Congressional Apportionment (UMAP)
In this module six methods of congressional apportionment are explained and illustrated by simple examples and exerci...
Modeling Using the Derivative: Numerical and Analytic Solutions (UMAP)
In this module the derivative is reviewd, physically as an instantaneous rate of change, and geometrically as the slo...
Regression Methods and Problem Banks (UMAP)
This module is designed to help the students understand regression analysis. A model (using real data) is developed t...
Competitive Hunter Models (UMAP)
In this module various assumptions about the growth in isolation of a single species are modeled and analyzed both gr...
Examining Data: A General Strategy and One-Sample Methods (UMAP)
This module gives some general comments about an overall strategy for analyzing data. It discusses certain general co...
The Q-Q Plot, A Graphical Method for Comparing Two Samples (UMAP)
This module presents a graphical method that is useful for displaying and comparing two sets of data. This method dis...
Expected Value at Jal Alai and Pari Mutual Gambling (UMAP)
This module will explain the concepts of expected value, fixed-payoff, and pari-mutuel gambling. It will discuss gamb...
The Use of Dimensionless Analysis in Mathematical Modeling (UMAP)
This module demonstrates how dimensional analysis can be incorporated in the various stages of the modeling process. ...
Two Sieves for Prime Numbers (UMAP)
In this module two algorithms for allocating prime natural numbers are presented: 1) Sundaram's Sieve based upon a ta...
Probability in Contested Election (UMAP)
In this module the 1975 mayoral election in the city of Flint, Michigan is analyzed. True vote is estimated with an e...
Differential Growth, Huxley's Allometric Formula, and Sigmoid Growth (UMAP)
This module relates analytical geometry and calculus with differential growth, Huxley's Allometric Formula, and sigmo...
The St. Louis Arch Problem (UMAP)
This module is a solution to a restatement of a contest problem that had a major influence in correcting misconceptio...