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# Ch12 - MGF 1107 Lecture Outline Unit IV Routes and Networks...

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MGF 1107 – Lecture Outline Unit IV – Routes and Networks; Growth and Decay (Chapters 6 and 12) Chapter 12 – Growth and Decay These Notes are taken from A Mathematical View of our World , Parks, Musser, et. al., 1 st custom ed., Thomson Publishing and the accompanying Instructor’s Resource CD. All rights reserved by the publisher. Sec 12.1 – Malthusian Population Growth Goals o Study Malthusian population growth o Use the Malthusian growth formula o Study Ponzi schemes o Study chain letters o The ratio of births to a population size is called the . o The ratio of deaths to a population size is called the . o The difference between the birth and death rates is called the _ . Malthusian Growth Formula – This is just a population model. “The M. model for population is fairly reliable for predicting population growth over short to moderate time periods during which the population suffers no shortage of resources. However, when applied to a long time period, the model is likely to be unrealistic.” (pg 756) See Fig. 12.1 (pg 757) o If a population with growth rate r is initially ____ , then after m years the population will be: 1

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