Measuring Stream Discharge: A Precalculus Field Exercise (UMAP)
This module consists of a set of four collaborative field-based exercises and labs. All of the materials derive from ...
Waves and Strong Tides (UMAP)
This module analyzes the motion of water underneath a surface wave in the ocean in order to determine formulas for th...
Graphs, Digraphs, and Rigidity of Grids (UMAP)
This module studies the rigidity of frameworks made of rigid rods in the plane that are connected by two-dimensional ...
Pinochle Numbers (UMAP)
This module uses the setting of the card game of pinochle to develop and practice counting techniques, including comb...
How to Win at Nim (UMAP)
This module uses a variant of the Moore Teaching method to stimulate the students to derive the theory of impartial g...
The Terminator and Other Geographical Curves (UMAP)
This module seeks to: 1) strengthen students' intuition in multidimensional geometry; 2) consolidate their command of...
Differentials and Geographical Maps (UMAP)
This module seeks to: 1) strengthen the students' intuition in multidimensional geometry; 2) consolidate their comman...
Fuzzy Sets (UMAP)
This module explores elementary operations of set theory in a fuzzy setting and examines some applications of fuzzy s...
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 rat...
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 ye...
Applications of Geometrical Probability (HiMAP)
Students are encouraged to experiment and estimate when analyzing probability problems, and use their estimates to de...
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 d...
Loads of Codes (HiMAP)
This unit explores the mathematics of protecting and communicating information, through cryptography and digital data...
UMAP Journal 19.4, Winter 1998
Table of Contents: GUEST EDITORIAL Social Sources for Renewal in Academic Mathematics ARTICLES Modeling the Orga...
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 inv...
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...
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 lea...
Computer Problem Solving (UMAP)
A unit that will enable the student to: 1) explain the concept of algorithm; 2) distinguish algorithms from non-algor...
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 +...
Why Do Cells Compete? (UMAP)
This unit introduces current data about brightness constancy and contrast in visual perception, and shows that data o...
Randomization Tests (UMAP)
In this module the data are permuted (divided or rearranged) repeatedly, in a manner consistent with the nature of th...
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 numb...
Population Dynamics of Governmental Bureaus (UMAP)
This module presents, calibrates, and tests a mathematical model of the birth and death of bureaucratic units - brief...
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 no...
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 ...
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 unde...
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 th...
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 analyz...
3D Graphics in Calculus (UMAP)
This module helps students to strengthen their multidimensional visual intuition and their ability to solve problems ...
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 re...
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-h...
Calculus Optimization in Information Technology (UMAP)
This module considers three optimization problems in the design of computer hardware and software and solves them by ...
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 ...
Calculus in a Movie Theater (UMAP)
Using elementary calculus techniques, this unit explores the concept of viewing angle as a criterion for determing th...
Sharing a Secret (UMAP)
This module considers the problem of devising a scheme for predesignated subsets of a group of people to hold a secre...
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 consid...