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Logarithms Who needs them?

Logarithms Who needs them?. Prof. Chuck Paulsen Mechanical Engineering Naugatuck Valley Community College. Why am I here in the first place?. I wrote a book Jen Silverman said I should show it at ATOMIC Give a lecture from one of the chapters.

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Logarithms Who needs them?

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  1. LogarithmsWho needs them? Prof. Chuck Paulsen Mechanical Engineering Naugatuck Valley Community College

  2. Why am I here in the first place? I wrote a book Jen Silverman said I should show it at ATOMIC Give a lecture from one of the chapters

  3. I wrote this book to help students overcome the fear of the math requirements to pursue a STEM education.

  4. What motivated me to write this book? In November 2008 I had an Eureka moment!

  5. My Eureka Moment In a piston cylinder system, much like that in your automobile, the relationship of the pressure and volume is given by, The work to compress the gas is given by, Substituting the first equation into the second you get,

  6. Here is a Nov 2013 quiz I gave 13 students in my Introduction to Engineering course. LogarithmsDo students know what they are? 1 – What is a logarithm? Results: 1 student got it right. 2 – What are they good for? Results: No clue!

  7. A Logarithm Defined The logarithm (log) of a number to a given base is the exponent of the power to which the base must be raised to give the number! The log of 1000 to the base 10 is 3 If a log is to the base 10 we often call it a common logarithm.

  8. Finding the Logarithm • Calculator • Tables

  9. Find log 6 Using Tables 0 is the characteristic 7782 is the mantissa (see next slide)

  10. Find the Mantissa of 6.00

  11. A Law of Logarithms

  12. How a Slide Rule Works 2 x 3 = 6 hooray!

  13. A Natural Logarithm Defined There is a special number called the Euler number e = 2.7182. The natural logarithm (ln) of a given number to the base e is the exponent of e must be raised to give the given number The ln of 1000 to the base e is 6.9078 Not nearly as intuitive as the common logarithm

  14. Which logarithm to use? • Common logarithms are easier to understand and use. • Natural logs are the results of nearly all calculus calculations describing the laws of nature. For example: • Finding the length of the path of a projectile. • The amount of work done by an expanding gas. • The time required for a heated object to cool. • The time for a colony of bacteria to increase to a given size.

  15. Thank you And visit http://stembooks.com Click here and ask for the FREE eBook. Click here and ask for $10 ATOMIC rebate.

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