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Consortium for Mathematics and its Applications

Product ID: 99071
Supplementary Print
Undergraduate

Measuring Cardiac Output (UMAP)

Author: Brindell Horelick, Sinan Koont


This module develops a formula for computing cardiac output from observations obtained by dye dilution. The development is an elementary illustration of Riemann sums, definite integration, and approximation by the trapezoidal rule and Simpson's rule.

Table of Contents:

1. THE TECHNIQUE OF DYE DILUTION

2. THE FORMULA FOR CARDIAC OUTPUT
2.1 Preliminary Illustration
2.2 Rectangular Approximation
2.3 The Definite Integral

3. COMPUTATION OF CARDIAC OUTPUT
3.1 Antidifferentiation
3.2 Numerical Methods

4. EXERCISES

5. ANSWERS TO EXERCISES

©1979 by COMAP, Inc.
UMAP Module
19 pages

Mathematics Topics:

Calculus

Application Areas:

Life Sciences & Medicine

Prerequisites:

Familiarity with trapeziodal and parabolic (Simpson's) rules; integrals

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