Using Quarternion to Compose Rotations (UMAP)
The purpose of this module is for students to learn the definition of the quaternions and some of its algebraic propert…
The Optimal Assignment Problem (UMAP)
This module presents a method of using aptitude scores to assign applicants who may have a variety of skills to jobs in…
Tomography (UMAP)
This module will give students: 1) an aquaintance with a significant applied math problem utilizing Fourier Transforms;…
Curve Fitting via the Criterion of Least Squares (UMAP)
In this module students will: 1) construct scatter diagrams; 2) choose an appropriate function to fit specific data; 3)…
Difference Equations with Applications (UMAP)
In this module techniques for solving first and second order linear difference equations are presented along with illus…
Developing the Fundamental Theorem of Calculus (UMAP)
The purpose of this module is to give students experience in: 1) computing limits of Riemann sums; 2) computing definit…
A Unified Method for Finding Laplace Transforms, Fourier Transforms, and Fourier Series (UMAP)
This unit presents a method which facilitates the finding of the Laplace transform, the Fourier transform, the complex…
The Contraction Mapping Principle (UMAP)
This module studies the Picard technique for estimating solutions of equations. The technique includes an iterative pro…
Nuclear Deterrence (UMAP)
In this module students apply mathematical models to nuclear deterrence problems. Enlightened skepticism about the use…
Adjusted Rates: The Direct Rate (UMAP)
With completion of this module students will be able to: 1) state the conditions necessary for rate adjustment and use…
Ascent - Descent (UMAP)
This unit presents a solution of the Ascent-Descent problem using simple differential equations that take air resistanc…
The Budgetary Process: Incrementalism (UMAP)
With this unit, the student will understand the budgetary process and its outcome, gain a better perspective on modelin…
Glottochronolgy: An Application of Calculus to Linguistics (UMAP)
This module describes the new theory of glottochronology - the mathematical theory of dating languages and determing ho…
Solving Differential Equations Analytically (UMAP)
A unit that involves applications of elementary differential equations. The purpose of this module is for students to l…
Aspects of Coding (UMAP)
A unit using linear algebra in aspects of coding. The purpose of this module is to acquaint the undergraduate student w…
A Double-Error Correcting Code (UMAP)
A unit that involves linear algebra and a double-error correcting code. The purpose of this module is to: 1) show stude…
Balancing Chemical Reactions with Matrix Methods and Computer Assistance (UMAP)
A unit using matrix methods and computer assistance in balancing chemical reactions. The purpose of this module is to…
The Poisson Random Process (UMAP)
This module applies probability and statistics to operations research. Students will be able to obtain practical inform…
Five Applications of Max - Min Theory from Calculus (UMAP)
With this module, the student will gain further knowledge of differentiation and optimization skills. Also, the student…
Population Projection (UMAP)
This unit examines a model developed by P.H. Leslie and others that uses matrix multiplication to make population proje…
Error - Correcting Codes 1 (UMAP)
A unit that involves linear algebra with error-correcting codes. Within this module students will learn to: 1) use simp…
Concepts of Math for Business: An Introduction to Basic Language for Computers (UMAP)
This module shows how to use a computer to solve simple problems in accounting, marketing and finance. It is self-conta…
Interior Design: Preparing an Estimate (UMAP)
A unit that involves precalculus with the topic of preparing interior design professional cost estimates. Table of Co…
Differentiation, Curve Sketching, and Cost Functions (UMAP)
The purpose of this module is for students to: 1) understand the way in which continuous functions are used to approxim…
Evaluation of Diagnostic Tests and Decision Analysis (UMAP)
Students using this unit will be able to: 1) calculate the predictive value of a positive or negative test result in mo…
Elementary Techniques of Numerical Integration (UMAP)
A unit that uses calculus and elementary techniques of numerical integration. By the end of this module students will b…
Selected Applications of Mathematics to Finance and Investment (UMAP)
This module is an informal and largely elementary discussion of the background and uses of formulas for finance and inv…
The Force of Interest (UMAP)
The purpose of this module is to give students an: 1) appreciation for a natural connection between exponential functio…
Integration: Getting It All Together (UMAP)
These units teach a strategy for solving problems in integration that has three steps: simplify, classify, and modify…
Mercator's World Map and the Calculus (UMAP)
A unit that applies calculus and trigonometry within the topic of Mercator's World Map. The history of Mercator's map i…
Management of a Buffalo Herd (UMAP)
A unit that uses linear algebra in the topic of buffalo herd management. This module shows students how to: 1) calculat…
Economic Equilibrium: Simple Linear Models (UMAP)
This unit: 1) discusses the movement of prices due to shifts in supply and demand, and price equilibrium; 2) defines to…
Viscous Fluid (UMAP)
This module uses Poiseuille's Law to compute total flow of fluid through a pipe, sets up a moderately complicated integ…
The Human Cough (UMAP)
The purpose of this module is to: 1) see how a phyiscal assumption may lead to a choice of domain for a function; 2) se…
Zipf's Law (UMAP)
From this module students will learn how to: 1) use partial fractions to explain summation; 2) calculate relative error…
The Alexander Horned Sphere (UMAP)
A unit that involves applications of introductory topology. The purpose of this module is for students to: 1) understan…