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Consortium for Mathematics and its Applications

Product ID: 99306
Supplementary Print
Undergraduate

Discretionary Review By the Supreme Court I: The Model (UMAP)

Author: Thomas W. Likens


The frequency with which the Supreme Court of the United States hears cases on an issue often exhibits the pattern of starting out at a relatively constant level, then growing rapidly, leveling off briefly, and decaying to a new constant level. This module seeks to explain this pattern, and to describe it with a system of three first order difference equations.

Table of Contents:

1. THE PROBLEM

2. A THEORETICAL EXPLANATION
A Dynamic Model of the Process
Qualitative Behavior of the Model

3. CONCLUSION

4. ANSWERS TO QUESTIONS

5. BIBLIOGRAPHY

6. ACKNOWLEDGMENT

©1983 by COMAP, Inc.
UMAP Module
18 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; first-order linear difference equations with constant coefficients

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