Difference Equations: A Gentle Introduction To Differential Equations
A differential equation (D.E.) is an equation containing one or more independent variables, functions, and derivativ...
The Lemma Dilemma
Various proofs in the history of mathematics have necessitated an incredible number of steps. Some, because of step ...
The Blood Testing Problem
Suppose that you have a large population you wish to test for a certain characteristic in their blood or urine (for ...
The Traffic Flow Problem
Everyone has at some time been on a multi-lane highway and encountered road construction that required the traffic t...
The Hot Dog Stand Location Problem
A map shows the walking paths and dormitories in a section of campus and the approximate distances (in 100 feet) bet...
The Suez Canal
In the Suez Canal Problem, we consider the real-world, multimillion dollar question of traffic flow through the Suez...
Game Theory Models of Animal Behavior (UMAP)
This unit is an introduction to elementary game theory and some of its applications to evolutionary biology. The conc...
Linear Programming in Two Dimensions: I (UMAP)
This module introduces a variety of linear programming problems and describes in detail a graphical method for solvin...
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 impo...
Shortest Paths (GeoMAP)
Robots like SARAH, a robot that performs neurosurgical procedures, often use graph theory to make decisions about whe...
Shortest Paths - Teacher's Notes (GeoMAP)
Robots like SARAH, a robot that performs neurosurgical procedures, often use graph theory to make decisions about whe...
Evaluating and Analyzing Probabilistic Forecasts (UMAP)
This module presents an analysis of the quality of probabilistic forecasts, such as weather forecasting and sporting ...