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

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

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

4. Year Growth12345678910 10%10111213151618192124 20%10121417212530364352 50%101523345176114171256384 100%10204080160320640128025605120 Exponential growth

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

6. Exponential growth, logarithmic scale Exponential demo spreadsheet: Twelve year, 100% sales growth 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?

9. New Yorkers see the world logarithmically

10. Summary

11. Play around with this exponential demonstration spreadsheet: http://som.csudh.edu/fac/lpress/netapps/hout/techprogress/exponent ialgrowth.xls Moore’s Law article: 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 Resources

12. Self-test questions Before answering these questions, play around with the spreadsheet at: http://som.csudh.edu/fac/lpress/presentations/exponentialgrowth.xlsx http://som.csudh.edu/fac/lpress/presentations/exponentialgrowth.xlsx 1.How does the graph change when the original amount is increased from $1,000 to $10,000? To $1? To $1,000,000? 2.What does the graph look like when annual growth is only 1%? 50%? 100$ 300%? 3.If sales grows at only 1 percent per year, is that considered exponential growth? 4.If plotted on a linear scale, will 1% growth per year be a straight line or a “hockey stick?” 5.If plotted on a logarithmic scale, will 1% growth per year be a straight line or a “hockey stick?” 6.If automobile gas mileage doubled each year, how many miles per gallon would a typical car get in ten years? 7.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?