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Consortium for Mathematics and its Applications

Product ID: 99307
Supplementary Print
Undergraduate

Discretionary Review by the Supreme Court II: Analysis of the Model (UMAP)

Author: Thomas W. Likens


This module is a continuation of an analysis of Supreme Court decision-making presented in Part I. The problem is to explain a particular pattern of growth and decay in the frequency of litigation of certain issues. This module considers the equilibrium point, stability, and the short-run behavior of the process. It shows how information about certain unobservable states of a dynamic process may be deduced from observable states. Students understand the difference between a theoretical construct and an observable pattern, the nature of choices which exist in modeling any partiuclar empirical problem, and more about difference equations.

Table of Contents:

1. INTRODUCTION

2. EQUILIBRIA

3. ELIMINATING THE UNOBSERVABLE
Linear Operators
Application of Linear Operators: Solution of the System by Cramer's Rule

4. CONCLUSION

5. ANSWERS TO QUESTIONS

6. BIBLIOGRAPHY

©1983 by COMAP, Inc.
UMAP Module
16 pages

Mathematics Topics:

Discrete & Finite Mathematics , Differential Equations

Application Areas:

Social Studies , American Politics

Prerequisites:

Functions and graphing, ability to restrict a real valued function to the domain of whole numbers to obtain a sequence; limits of a sequence; first-order linear difference equations

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