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Resource Type: Curricular Resource
Primary Level: 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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