# Growth in a Finite World - Sustainability and the Exponential Function

## by Toni Menninger, Mathematician, Geographer, Instructor, Software engineer, Database specialist on *Jun 17, 2011*

**3,755**views

This presentation, accessible to the general public and specifically designed for students of sustainability, explores the dramatic growth of the human sphere on planet Earth with its limited ...

This presentation, accessible to the general public and specifically designed for students of sustainability, explores the dramatic growth of the human sphere on planet Earth with its limited resources, and presents the mathematical tools for understanding the exponential function.

The lecture is accompanied by the article "Exponential Growth, Doubling Time, and the Rule of 70" (http://www.slideshare.net/amenning/exponential-growthmath) and a collection of practice problems and case studies (http://www.slideshare.net/amenning/exponential-growth-casestudies).

The presentation "The Human Population Challenge" is suitable as a follow-up lecture.

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