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Calculus ( [Latin] , , a small stone used for counting) is a branch in [mathematics] focused on [limits] , [functions] , [derivative] s, [integral] s, and [infinite series] . This subject constitutes a major part of modern [mathematics education] . It has two major branches, [differential calculus] and [integral calculus] , which are related by the [fundamental theorem of calculus] . Calculus is the study of change, in the same way that [geometry] is the study of shape and [algebra] is the study of operations and their application to solving equations. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called [mathematical analysis] . Calculus has widespread applications in [science] , [economics] , and [engineering] and can solve many problems for which [algebra] alone is insufficient.

Historically, calculus was called "the calculus of [infinitesimal] s", or " [infinitesimal calculus] ". More generally, calculus (plural calculi ) may refer to any method or system of calculation guided by the symbolic manipulation of expressions. Some examples of other well-known calculi are [propositional calculus] , [variational calculus] , [lambda calculus] , [pi calculus] , and [join calculus] .



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