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Consortium for Mathematics and its Applications

Product ID: 99211
Supplementary Print
Undergraduate

The Human Cough (UMAP)

Author: Philip M. Tuchinsky


The purpose of this module is to: 1) see how a phyiscal assumption may lead to a choice of domain for a function; 2) see an application of maximization of a function on a closed interval domain; and 3) interrelate biology, physics, and calculus.

Table of Contents:

1. WHEN YOU COUGH

2. NOTATION FOR A CALCULUS MODEL OF COUGHING

3. LAMINAR FLOW

4. AVERAGE VELOCITY AND TOTAL FLOW

5. PERFECT ELASTICITY

6. WHAT RADIUS R MAKES V THE LARGEST?

7. ACKNOWLEDGEMENT

8. SOLUTIONS TO EXERCISES

©1979 by COMAP, Inc.
UMAP Module
13 pages

Mathematics Topics:

Calculus

Application Areas:

Life Sciences & Medicine , Physical Sciences

Prerequisites:

Differentiation of polynomials; derivatives and the Second Derivative Test for identifying maxima and minima; operations on inequalities; basic curve sketching

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