Exponential Growth: Cool Lecture & How to Calculate Doubling Time

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SUMMARY

The forum discussion centers on a lecture about exponential growth, specifically focusing on calculating doubling time using the formula of dividing 70 by the growth rate. For instance, a growth rate of 7% results in a doubling time of 10 years. The lecture, delivered by a professor from the University of Colorado, emphasizes the importance of understanding exponential functions, highlighting their relevance in various contexts. The discussion also references memorable quotes from the lecture that underscore the challenges of grasping exponential concepts.

PREREQUISITES
  • Basic understanding of exponential functions
  • Familiarity with growth rate calculations
  • Knowledge of mathematical concepts related to time and growth
  • Access to educational resources such as online lectures
NEXT STEPS
  • Watch the lecture on exponential growth at http://sciencehack.com/videos/view/F-QA2rkpBSY
  • Research the mathematical principles behind the Rule of 70 for growth calculations
  • Explore real-world applications of exponential growth in economics and biology
  • Study the implications of exponential growth on resource consumption and sustainability
USEFUL FOR

This discussion is beneficial for students, educators, and anyone interested in mathematics, particularly those looking to deepen their understanding of exponential growth and its implications in various fields.

hackit
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Cool lecture on exponential growth http://sciencehack.com/videos/view/F-QA2rkpBSY The video shows how to calculate the doubling time by dividing 70 by the growth rate. So for a 7% growth rate, the doubling time is 10 years.
 
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This is a famous video that I have seen presented in college classes, thanks for sharing the link online. The University of Colorado professor who is delivering the lecture speaks very clearly, and his message is quite relevant, so I think everyone with a basic education in math should watch it.

My favorite lines are:

"The greatest failure of the human species is its inability to understand the exponential function."

and

"What time is it when the dish is half full? One minute before 12:00."
 

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