Lake Pollution (ILAP)
Students use diference, diferential equations and probablity models to predict the concentration of lake pollution in t…
Car Financing (ILAP)
Table of Contents: SITUATION 1 SITUATION 2 SITUATION 3 SAMPLE SOLUTIONS
The Electronic Power Supply (ILAP)
Physical Concepts Examined: 1. Transformer Action 2. Semi-Conductor Materials 3. Resistance 4. Capacitance Table of C…
Going into Orbit - Launching the Shuttle (ILAP)
Table of Contents: INTRODUCTION PART I: ESCAPE VELOCITY PART II: ORBITAL VELOCITY PART III: LET'S GET REAL APPENDI…
Keeping the Drinking Water Supply Safe (ILAP)
Concepts Examined: 1. Sorption of Contaminants 2. Suspended Solids Transport in Natural Waters 3. Stage-Discharge Curve…
The Shuttle Problem (ILAP)
Table of Contents: INTRODUCTION PART 1: ESCAPE SPEED PART 2: ORBIT ANALYSIS PART 3: SATELLITE RETRIVAL SAMPLE SOLU…
Red and Blue Laser CDs: How Much Data Can They Hold? (ILAP)
Physical Concepts Examined: 1. Diffraction 2. Laser disc design Table of Contents: INTRODUCTION FURTHER INTRODUCTIO…
UMAP Journal 21.2, Summer 2000
Table of Contents: GUEST EDITORIAL How to Design and Teach a Project-Based First-Year Finite Mathematics Course ART…
Concepts of Mathematics for Business (UMAP)
These units are part of a series by the author on concepts of mathematics for business. They show how graphs of lines c…
Electrical Circuits and Applications of Matrix Methods: Analysis of Linear Circuits (UMAP)
A unit that exposes the students to several concepts: 1) to be able to construct a system of equations representing an…
Iteration and Computer Problem Solving (UMAP)
This unit enables the student to: 1) improve algorithms by enhancing them; 2) read, interpret, and follow through algor…
An Inversion Method for Laplace Transforms, Fourier Transforms, and Fourier Series (UMAP)
This unit uses the inversion method to find a function f(t) when given the Laplace transform, the Fourier transform, th…
The Budgetary Process: Competition (UMAP)
With this unit, the student will understand the budgetary process and its outcomes, gain a better understanding of mode…
Exponential Growth and Decay (UMAP)
This unit reviews exponents and introduces the notions of doubling time and half-life. Students, given a table of data…
Development of the Function y=Ae^cx (UMAP)
This unit involves applications of exponential functions. The applications present the concepts of half-lives and doubl…
Numerical Approximations to y=e^x (UMAP)
A unit that introduces exponential functions. With completion of this module students will be able to: 1) describe the…
How to Solve Problems Involving Exponential Functions (UMAP)
This unit shows how to find the formula for an exponential function given a point on its graph and the slope at that po…
Descriptive Models for Perception of Optical Illusions: Part II (UMAP)
This unit presents experimental determination of the numerical parameter that determines the strength of an illusion, a…
Discretionary Review by the Supreme Court II: Analysis of the Model (UMAP)
This module is a continuation of an analysis of Supreme Court decision-making presented in Part I. The problem is to ex…
The Dynamics of Political Mobilization II: Deductive Consequences and Empirical Application of the Model (UMAP)
This module consists of a framework which is developed to deduce the properties of a mobilization process based on math…
General Equilibrium: A Leontief Economic Model (UMAP)
This unit discusses an application leading to large sets of linear simultaneous equations. It also calculates equilibri…
The Growth of Partisan Support II: Model Analytics (UMAP)
This unit investigates mathematical properties of first order quadratic difference equation a) equilibria, b) local sta…
Linear Programming in Two Dimensions: II (UMAP)
With this unit, the student will understand the nature of sensitivity analysis by investigating the ways in which the g…
The Spacetime World: Foundations of Special Relativity Theory (UMAP)
With this unit, the student will be able to: 1) recognize the relative nature of simultaneity, and fundamental implicat…
The Spacetime World: The Minkowski World (UMAP)
With this unit, the student will be able to: 1) recognize the speed of light as the limiting speed of ordinary particle…
The Spacetime World: Loedel's Spacetime Diagram (UMAP)
With this unit, the student will be able to: 1) relate the Loedel diagram to the required invariance of spacetime inter…
History and Uses of Complex Numbers (UMAP)
This unit presents the history, the algebra, the geometry, and a few uses of complex numbers, including complex square…
Orthogonal Projections and Applications in Linear Algebra (UMAP)
This module demonstrates how real applications require orthogonal projections in abstract linear spaces. The material p…
Elementary Cryptology (UMAP)
This module discusses a few of the methods used in earlier times to illustrate the nature of cryptology, then discusses…
Basic Analysis of Z12 Music Chords (UMAP)
This module teaches how to use the additive group Z12 and a group of musical transformations called the twelve-tone ope…
Geometric Programming (UMAP)
This module presents a simple method of optimization that: 1) tells how much an engineering design would cost before kn…
The Hardy-Weinberg Equilibrium (UMAP)
This module uses elementary probability to show how genotypes in a population reach an equilibrium in a single generati…
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 ef…
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 the…
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 ba…
Pinochle Numbers (UMAP)
This module uses the setting of the card game of pinochle to develop and practice counting techniques, including combin…