History

The History Of Calculus
Topics include the discovery of infinity concepts by Zeno, area approximation methods, Descartes' approach to finding normal lines, and finally Newton and Leibniz proving The Fundamental Theorem of Calculus. Time period discussed is from the 5th century BC to the 19th century AD.
http://www-history.mcs.st-andrews.ac.uk/HistTopics/The_rise_of_calculus.html

Why Do We Study Calculus?
Explains, in everyday language, the developments in astronomy, math, and physics that contributed to the discovery of differential calculus and its relationship to area formulas.
http://www.math.vanderbilt.edu/~schectex/courses/whystudy.html