How Does Calculus Describe Motion: A Way To Measure Changes

Author: Talha Zobair

Abstract

This hand-out will try to provide a very good first introduction to calculus. It will help one to strengthen the basics of calculus through understanding some pretty practical usage of it (i.e. changes in objects’ velocity, acceleration, distance and so on.) It will help high school students and beginners.

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Further Reading and Resources

Books:

• Wahlin, Lars (1997). ”9.1 Relative and absolute motion” (PDF). The Deadbeat Universe. Boulder

• Tyson, Neil de Grasse; Charles Tsun-Chu Liu; Robert Irion (2000). One Universe: At Home In The Cosmos. Washington, DC: National Academy Press. ISBN 978-0-309-06488-0

• Calculus Made Easy by Silvanus P. Thompson

• The Calculus Lifesaver by Adrian Banner

Videos:

• 3Blue1Brown–Essenceof Calculus: https://www.youtube.com/watch?v=WUvTyaaNkzM

• KhanAcademyCalculus Playlist: https://www.khanacademy.org/math/calculus-1

Interactive tools:

• Desmos Graphing Calculator: https://www.desmos.com/calculator

• GeoGebra: https://www.geogebra.org/