Calculus is one of the milestones of Western thought. Building on ideas of
Archimedes, Fermat, Newton, Leibniz, Cauchy, and many others, the calculus is
arguably the cornerstone of modern science. Any well-educated person should
at least be acquainted with the ideas of calculus, and a scientifically literate person
must know calculus solidly.
Calculus has two main aspects: differential calculus and integral calculus.
Differential calculus concerns itself with rates of change. Various types of change,