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In Calculus, you learn Limits, Derivatives, Anti-Derivatives and all their applications!
You might think of it as the study of instantaneous change. It is the study of limits, derivatives, integrals, and sums of infinite series. The word can also mean a system of calculation, such as with the predicate calculus, which is nothing more than symbolic logic.
Calculus (or, some advanced pre-calculus classes).
this site has info/formulas about derivatives and limits: http://www.scribd.com/doc/14243701/Calculus-Derivatives-Formula
Both derivatives and integrals - two of the most important concepts in calculus - are defined in terms of limits; specifically, what happens when something gets smaller and smaller.
Calculus III generally entails vector calculus, divergence and curl, and continuing study of integrals and derivatives. What is mainly studies, however, is the calculus of multi-variable functions, such as f(x,y,z,w,b,a) rather than just f(x) (Typically, it would just be of two variables, but the idea holds).
Basic calculus usually starts with limits. After that you continue with derivatives, and eventually you get to do integration.
Isaac Newton and Göttfried Leibniz simultaneously and indepently created calculus as we know it and derivatives with it. (Late 17th century)
The branch of mathematics that deals with the finding and properties of derivatives and integrals of functions.
Anti-derivatives are a part of the integrals in the calculus field. According to the site Chegg, it is best described as the "inverse operation of differentiation."
In the 'real world', the purpose of a course of study in pre-calculus is to prepare the student for a course of study in Calculus.
In the 'real world', the purpose of a course of study in pre-calculus is to prepare the student for a course of study in Calculus.