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# Intro to modeling

Mathematical Modeling - Introduction

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### Intro to modeling

1. 1. What is a Model?
2. 2. model: a number or formula that represents a set of data. <ul><li>helps us to understand something </li></ul><ul><li>“simplifies” reality in order for us to understand patterns and relationships. </li></ul>
3. 3. Product Design Models Adaptive Wall Wind Tunnel
4. 4. Architectural Models http://www.itg.uiuc.edu/exhibits/iotw/2006-05-02/ http://www.architecturalmodel.net/
5. 5. Weather Forecast Models http://www.nhc.noaa.gov/refresh/graphics_at3+shtml/143524.shtml?5day#contents
6. 6. National Hurricane Center: Hurricane Katrina, August 26, 2006. http://www.msnbc.msn.com/id/12914744/ , July 12, 2008
7. 7. Economic Models http://www.modellifestyle.com/ How much of this stuff can I sell? http://www.econmodel.com/classic/cobweb.htm
8. 8. Environmental Modeling Accumulation of Atmospheric Carbon Dioxide Hydrological Networks
9. 9. http://www.regentsprep.org/Regents/math/algtrig/ATT7/graphpractice3.htm In a particular study, the population of rabbits was modeled by the function                                                                      The population of wolves in the same environmental area was modeled by the function                                                                   In each formula, x represents time in months. The graphs support the relationship that when the wolf population is high, the rabbit population is low, and when the rabbit population is high, the wolf population is low.
10. 10. Empirical Models <ul><li>An empirical model is based only on data and is used to predict, not explain, a system. An empirical model consists of a function that captures the trend of the data </li></ul>
11. 11. Mathematical Models <ul><li>The height of the grass in your yard, depending on rainfall & fertilizer. </li></ul><ul><li>Typical distribution of heights and weights in a population. </li></ul><ul><li>The height a ball will bounce </li></ul><ul><li>How much gasoline will you use in a year? </li></ul>