Consortium for Mathematics and its Applications

Product ID: 99767
Supplementary Print
Undergraduate

The Mathematics of Scuba Diving (UMAP)

Author: D.R. Westbrook


In this module, exponential solutions of differential equations are used to construct decompression schedules for dives of various durations to various depths.

Table of Contents:

INTRODUCTION

A BRIEF HISTORY OF DIVING

HALDANE'S MODEL

SOLUTION OF THE DIFFERENTIAL EQUATION

THE HALF-TIME

SCUBA AND NO-STOP DIVES

DIVES WITH DECOMPRESSION STOPS

REPETITIVE DIVES

CHANGES IN PRESSURE DURING DESCENT AND ASCENT

CONCLUSION

SOLUTIONS TO THE EXERCISES

REFERENCES

ABOUT THE AUTHOR

©1998 by COMAP, Inc.
UMAP Module
29 pages

Mathematics Topics:

  • Calculus ,
  • Differential Equations

Application Areas:

  • Life Sciences & Medicine ,
  • Sports & Recreation ,
  • Physiology, Scuba Diving

Prerequisites:

Knowledge of differential and integral calculus related to exponential functions.

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