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Exponential growth

Exponential growth. Skills : none C oncepts : linear growth, exponential growth, linear scale plot, logarithmic scale plot, “hockey stick,” Moore’s Law, hosting in the cloud. This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License. .

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Exponential growth

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  1. Exponential growth Skills: none Concepts: linear growth, exponential growth, linear scale plot, logarithmic scale plot, “hockey stick,” Moore’s Law, hosting in the cloud This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

  2. Where does this topic fit? • Internet concepts • Applications • Technology • Implications • Internet skills • Application development • Content creation • User skills

  3. Linear versus exponential growth Grow by the same amount in each time period Grow by the same percent in each time period

  4. Exponential growth

  5. Twelve year, 100% sales growth Exponential growth, linear scale

  6. Exponential growth, logarithmic scale Twelve year, 100% sales growth Exponential demo spreadsheet: http://som.csudh.edu/fac/lpress/netapps/hout/techprogress/exponentialgrowth.xls

  7. Transistor count – Moore’s Law Is this linear growth or exponential growth? Explain your answer?

  8. Is this linear growth or exponential growth? Explain your answer?

  9. New Yorkers see the world logarithmically

  10. Summary

  11. Resources Play around with this exponential demonstrationspreadsheet: http://som.csudh.edu/fac/lpress/netapps/hout/techprogress/exponentialgrowth.xls Moore’s Lawarticle: ftp://download.intel.com/museum/Moores_Law/Articles-Press_Releases/Gordon_Moore_1965_Article.pdf For more on Moore’s Law, see: http://en.wikipedia.org/wiki/Moore's_law Wolfram Alpha Moore’s law calculator: http://www.wolframalpha.com/input/?i=moore's+law

  12. Self-test questions Before answering these questions, play around with the spreadsheet at: http://som.csudh.edu/fac/lpress/presentations/exponentialgrowth.xlsx How does the graph change when the original amount is increased from $1,000 to $10,000? To $1? To $1,000,000? What does the graph look like when annual growth is only 1%? 50%? 100$ 300%? If sales grows at only 1 percent per year, is that considered exponential growth? If plotted on a linear scale, will 1% growth per year be a straight line or a “hockey stick?” If plotted on a logarithmic scale, will 1% growth per year be a straight line or a “hockey stick?” If automobile gas mileage doubled each year, how many miles per gallon would a typical car get in ten years? The first CPU chip had about 2,300 transistors in 1971. A CPU might have 2.3 billion today. How many times has the number of transistors doubled since 1971?

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