Design of Simple Power Supplied Using Fourier Series (UMAP)
This module discusses the components of a typical power supply that uses household electricity. A simple mathematical...
Rating Systems for Human Abilities: The Case of Rating Chess Skill (UMAP)
This module illustrates how to construct and use a mathematical model for rating chess ability. The model is probabil...
Mortality Discount (UMAP)
A unit that applies the mathematics of finance to actuarial science. This module introduces the basic theory of life ...
Shoot Development in Plants (UMAP)
The aim of this module is to show how phyllotactic patterns can be described with just a few mathematical constants a...
Finding Vintage Concentrations in a Sherry Solera (UMAP)
This module models the solera method of making sherry and demonstrates that the method results in a mixture whose com...
Exploring Power and Speed in Baseball (UMAP)
In this module students will: 1) use basic tools of Exploratory Data Analysis; 2) compare similar data sets with resp...
Information Theory and Biological Diversity (UMAP)
This module discusses and derives the key properties of one measure of diversity, the entropy function, and illustrat...
Computer and Calculator Computation of Elementary Functions (UMAP)
This module considers methods used to approximate the elementary functions on digital computers and electronic calcul...
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 ...
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 b...
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 th...
Iterative Reconstruction in Computerized Tomography (UMAP)
In this module, computerized tomography is introduced, leading to a system of linear equations. An iterative techniqu...
Heat Therapy for Tumors (UMAP)
This module discusses calculus techniques to gain insight into a problem of clinical and medical significance. The me...
Newton's Method and Fractal Patterns (UMAP)
This module discusses Newton's method as an efficient iterative procedure for approximating zeros of a differentiable...
Splines in Single & Multivariable Calculus (UMAP)
This module seeks to: 1) stregnthen students' intuition in multidimensional geometry; 2) provide exercises that are a...
How Old Is The Earth? (UMAP)
For a translation of UMAP module #719 into Portuguese see product #99719 Translation. This module provides the calcul...
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,...
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...
Knottedness (GeoMAP)
From magic tricks, to sailing, to Egyptian hieroglyphics, knots have appeared throughout history and in virtually all...
Knottedness - Teacher's Notes (GeoMAP)
From magic tricks, to sailing, to Egyptian hieroglyphics, knots have appeared throughout history and in virtually all...
Graph Models (GeoMAP)
Looking at the problems faced by delivery people, store owners, coaches, airline operations managers, and more, stude...
Graph Models - Teacher's Notes (GeoMAP)
Looking at the problems faced by delivery people, store owners, coaches, airline operations managers, and more, stude...
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...
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...
Symmetry & Patterns (GeoMAP)
Through the eyes of an archaeologist, students learn about mathematical patterns and how they can be used to help us ...
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 ...
Tessellations (GeoMAP)
Tessellations are found in art, architecture, and the natural world. Students work with increasingly difficult polygo...
Tessellations - Teacher's Notes (GeoMAP)
Tessellations are found in art, architecture, and the natural world. Students work with increasingly difficult polygo...
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 ...
Controlling the Effects of Interruptions (UMAP)
This module deals with the problem of scheduling a task when interruptions occus with a known probability. Numerous e...
Windchill (UMAP)
This module develops formulas for heat loss and wind chill in both metric and English units. Table of Contents:INTRO...
The Mathematics of Focusing a Camera (UMAP)
This module applies precalculus to photography. It introduces the reader to several photographic concepts, including ...
Applications of High School Mathematics in Geometrical Probability (UMAP)
This module applies high school mathematics to geometrical probability, and provides real world examples and exercise...
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 appli...
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...
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