Information Theory and Biological Diversity (UMAP)
This module discusses and derives the key properties of one measure of diversity, the entropy function, and illustrates…
Computer and Calculator Computation of Elementary Functions (UMAP)
This module considers methods used to approximate the elementary functions on digital computers and electronic calculat…
A Blood Cell Population Model, Dynamical Diseases, and Chaos (UMAP)
This module gives an introduction to the modeling of blood cell populations and the role of modeling in the study of dy…
An Introduction to Analytic Projective Geometry and Its Applications (UMAP)
This module presents an intoduction to classical projective geometry via a mostly coordinate-free analysis approach bas…
The Drag Force on a Sphere (UMAP)
This module analyzes the drag force on a sphere moving through a fluid, by applying dimensional analysis to reduce the…
Iterative Reconstruction in Computerized Tomography (UMAP)
In this module, computerized tomography is introduced, leading to a system of linear equations. An iterative technique…
Heat Therapy for Tumors (UMAP)
This module discusses calculus techniques to gain insight into a problem of clinical and medical significance. The meth…
Newton's Method and Fractal Patterns (UMAP)
This module discusses Newton's method as an efficient iterative procedure for approximating zeros of a differentiable f…
Splines in Single & Multivariable Calculus (UMAP)
This module seeks to: 1) stregnthen students' intuition in multidimensional geometry; 2) provide exercises that are at…
How Old Is The Earth? (UMAP)
For a translation of UMAP module #719 into Portuguese see product #99719 Translation. This module provides the calculu…
Somewhere Within the Rainbow (UMAP)
This module uses Fermat's least-time principle for the path of light to derive the laws of reflection and refraction, a…
Knottedness (GeoMAP)
From magic tricks, to sailing, to Egyptian hieroglyphics, knots have appeared throughout history and in virtually all c…
Knottedness - Teacher's Notes (GeoMAP)
From magic tricks, to sailing, to Egyptian hieroglyphics, knots have appeared throughout history and in virtually all c…
Graph Models (GeoMAP)
Looking at the problems faced by delivery people, store owners, coaches, airline operations managers, and more, student…
Graph Models - Teacher's Notes (GeoMAP)
Looking at the problems faced by delivery people, store owners, coaches, airline operations managers, and more, student…
Rigidity & Braced Grids (GeoMAP)
Whether it's the Cathedral of Notre Dame or the Statue of Liberty, an architect needs to create structures that won't c…
Rigidity & Braced Grids - Teacher's Notes (GeoMAP)
Whether it's the Cathedral of Notre Dame or the Statue of Liberty, an architect needs to create structures that won't c…
Symmetry & Patterns (GeoMAP)
Through the eyes of an archaeologist, students learn about mathematical patterns and how they can be used to help us un…
Symmetry & Patterns - Teacher's Notes (GeoMAP)
Through the eyes of an archaeologist, students learn about mathematical patterns and how they can be used to help us un…
Tessellations (GeoMAP)
Tessellations are found in art, architecture, and the natural world. Students work with increasingly difficult polygons…
Tessellations - Teacher's Notes (GeoMAP)
Tessellations are found in art, architecture, and the natural world. Students work with increasingly difficult polygons…
Shortest Paths (GeoMAP)
Robots like SARAH, a robot that performs neurosurgical procedures, often use graph theory to make decisions about where…
Shortest Paths - Teacher's Notes (GeoMAP)
Robots like SARAH, a robot that performs neurosurgical procedures, often use graph theory to make decisions about where…
The Ricker Salmon Model (UMAP)
This module derives the model that describes the dynamics of a salmon population, which was developed by W.E. Ricker in…
Controlling the Effects of Interruptions (UMAP)
This module deals with the problem of scheduling a task when interruptions occus with a known probability. Numerous exa…
The Mathematics of Focusing a Camera (UMAP)
This module applies precalculus to photography. It introduces the reader to several photographic concepts, including fo…
Applications of High School Mathematics in Geometrical Probability (UMAP)
This module applies high school mathematics to geometrical probability, and provides real world examples and exercises…
Where are All the Russian and Chinese Missiles Coming From? (UMAP)
New warheads and long-range rockets have been frequently tested by the USSR, the USA, and the PRC. To a serious applied…
Computer Implementation of Matrix Computations and Row Transformations on Matrices with Application to Solving Systems of Linear Equations (UMAP)
This module gives a comprehensive introduction to the use of a computer to perform a variety of matrix operations and c…
Adders and Their Design (UMAP)
This module involves elementary group theory and abstract algebra as applied to adders and their design. It discusses t…
Least Squares, Fish Ecology and the Chain Rule (UMAP)
This module relates least squares, fish ecology and the chain rule. The use of least-squares techniques to fit model pa…
Finite - State Machines as Recognizers (UMAP)
This module develops the concept of a finite-state machine through number examples. It introduces regular expressions a…
Matrix Multiplication and DC Ladder Circuits (UMAP)
This module relates matrix multiplication and DC ladder circuits. It presents a simple and natural context in which com…
Partial Payments in Loans and Savings (UMAP)
This module relates algebra through the topic of partial payments in loans and savings. It introduces compound interest…
Price Elasticity of Demand: Gambling, Heroin, Marijuana, Whiskey, Prostitution, and Fish (UMAP)
This module develops the mathematical concept of elasticity, expresses it in terms of logarithmic derivatives, and demo…
The Lotka-Volterra Predator-Prey Model (UMAP)
This module describes and analyzes qualitatively a simplified version of the predator-prey model attributed to Lotka an…