Differentials and Geographical Maps (UMAP)
This module seeks to: 1) strengthen the students' intuition in multidimensional geometry; 2) consolidate their command…
Fuzzy Sets (UMAP)
This module explores elementary operations of set theory in a fuzzy setting and examines some applications of fuzzy set…
Closing in on the Internal Rate of Return (UMAP)
This module describes three iterative methods for solving equations, motivated by the computation of the internal rate…
Clock Time vs. Sun Time: The Analemma (UMAP)
In this module equations are constructed for the position of the sun in the sky at any time of day, any day of the year…
Applications of Geometrical Probability (HiMAP)
Students are encouraged to experiment and estimate when analyzing probability problems, and use their estimates to deve…
Drawing Pictures With One Line (HiMAP)
This unit uses Euler's Theorem and the fascinating one-line drawings of the Malekula people in the South Pacific to dem…
Loads of Codes (HiMAP)
This unit explores the mathematics of protecting and communicating information, through cryptography and digital data s…
UMAP Journal 19.4, Winter 1998
Table of Contents: GUEST EDITORIAL Social Sources for Renewal in Academic Mathematics ARTICLES Modeling the Organi…
Concepts of Math for Business: Background Mathematics (UMAP)
This unit contains several modules which introduce students to various concepts of math for business. The modules invol…
Concepts of Math for Business: The Mathematics of Finance (UMAP)
A unit that shows the student how to solve business problems involving percents, to use formulas to solve problems in f…
An Application of Mathematical Groups to Structures of Human Groups (UMAP)
A unit that utilizes mathematical groups in studying structures of human groups. The purpose of this module is to learn…
Computer Problem Solving (UMAP)
A unit that will enable the student to: 1) explain the concept of algorithm; 2) distinguish algorithms from non-algorit…
Line Reflections in the Cartesian Plane (UMAP)
A unit that involves line reflections in the Cartesian plane. Let f: R2 --> R2 be reflection in the line Ax + By + C…
Why Do Cells Compete? (UMAP)
This unit introduces current data about brightness constancy and contrast in visual perception, and shows that data of…
Randomization Tests (UMAP)
In this module the data are permuted (divided or rearranged) repeatedly, in a manner consistent with the nature of the…
The Sturmian Sequence for Isolating Zeros of Polynomials (UMAP)
This module analyzes Sturm's theorem about zeros of polynomials and describes a finite procedure for finding the number…
Population Dynamics of Governmental Bureaus (UMAP)
This module presents, calibrates, and tests a mathematical model of the birth and death of bureaucratic units - briefly…
Negotiation in Nonzero Sum Games (UMAP)
A unit that relates finite mathematics through the topic of negotiating in nonzero sum games. The formulation of a nonz…
A (Not Really) Complex Method for Finding Solutions to Linear Differential Equations (UMAP)
A unit using a method to find solutions to linear differential equations. By completion of this module students will be…
The Design of Honeycombs (UMAP)
A unit that involves calculus to the design of honeycombs. By completion of this module students will be able to unders…
The Relationship Between Directional Heading of an Automobile and Steering Wheel Deflection (UMAP)
A unit that applies calculus to engineering. The relationship between the directional heading of an automobile and the…
The Shape of the Surface of a Rotation Liquid (UMAP)
A unit that applies calculus to engineering and physics. By completion of this module students will be able to analyze…
3D Graphics in Calculus (UMAP)
This module helps students to strengthen their multidimensional visual intuition and their ability to solve problems th…
Using Real Quaternions to Represent Rotations in 3D (UMAP)
This module raises the general question of representing rotations in three dimensions. It motivates quaternions by refe…
A Mathematical Rating System (UMAP)
This module develops a mathematical model for rating a group of contestants based on the results of several head-to-hea…
Calculus Optimization in Information Technology (UMAP)
This module considers three optimization problems in the design of computer hardware and software and solves them by us…
Noncomputability and the Busy Beaver Problem (UMAP)
This module describes the Busy Beaver problem and explores the Busy Beaver and shift functions. It proves that these fu…
Calculus in a Movie Theater (UMAP)
Using elementary calculus techniques, this unit explores the concept of viewing angle as a criterion for determing the…
Sharing a Secret (UMAP)
This module considers the problem of devising a scheme for predesignated subsets of a group of people to hold a secret…
Ocean Circulation (UMAP)
This module looks first at how an ocean current is affected by the fact that it moves on a rotating sphere. It consider…
Decision Analysis for Multi-Candidate Voting Systems (UMAP)
A unit that relates finite mathematics to decision analysis for multi-candidate voting systems. By using this module st…
A Mathematical Survey of Justice (UMAP)
A systematic mathematical survey of various approaches to justice. The module discusses various requirements that a jus…
Conditional Probability and Ambiguous Information (UMAP)
A unit that involves conditional probability and ambiguous information. The purpose of this module is to allow students…
National Decisions to Enter War (UMAP)
This module uses basic conditional probability, lotteries, and expected utility to analyze the process by which governm…
Modeling Jury Verdicts (UMAP)
The expected distribution of jury verdicts in a jury of size N, requiring K of N votes to convict, can be modeled by co…
Series and Games: From Paradox to Paradox (UMAP)
Zeno's paradox of Achilles and the turtle was an early encounter between the human mind and the notion of infinite seri…