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Consortium for Mathematics and its Applications

Product ID: 99782
Supplementary Print
Undergraduate

Insolation (UMAP)

Author: Joseph Bertorelli


The amount of incoming solar radiation can be modeled with the simple tools of spherical trigonometry, vectors, and calculus. The results can be compared with graphical patterns found in earth science textbooks and data from stations distributed throughout the country. We suggest further extensions to various applications.

Table of Contents:

INTRODUCTION

BACKGROUND

DAILY TOTAL ON A HORIZONTAL SURFACE

ATTENUATION EFFECTS OF A CLEAR ATMOSPHERE

RESULTS

FURTHER DIRECTIONS AND CONSIDERATIONS

HINTS FOR SELECTED EXERCISES

APPENDIX: MAPLE PROGRAM

REFERENCES

ACKNOWLEDGMENT

ABOUT THE AUTHOR

©2001 by COMAP, Inc.
UMAP Module
20 pages

Mathematics Topics:

Calculus

Application Areas:

Architecture & Design , Engineering & Construction , Physical Sciences , Earth Science, Solar Engineering

Prerequisites:

Calculus, vector dot product, and the visualization of trigonometry in three dimensions.

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