#MOC # Calculus Calculus is a branch of mathematics dedicated to the study of change, using tools like the [[Limit]] and [[Infinite Series]], which are considered to be an extension of regular [[Series|Finite Series]]. These tools are then used to determine a function's [[Derivative]], which determines the function's tangent at a particular point. The process of finding a derivative is referred to as *differentiation*. Differentiation can be reversed using a process called *antidifferentiation*, the product of which is an [[Antiderivative]]. Note that because a function can have many antiderivatives (because of the constant term) but only a single derivative, differentiation is not exactly invertible. Using [[The Fundamental Theorem of Calculus]], the derivative is combined with the process of antidifferentiation to compute the value of an [[Integral]]. ![[Integral#^ia5q62]] ## Calculus Notation ![[Limit#Limit Notation]] ![[Derivative#Derivative Notation]] ![[Antiderivative#Antiderivative Notation]] ![[Integral#Integral Notation]] ## Theorems and Proofs - [[The Fundamental Theorem of Calculus]] - [[Taylor Series]] - [[The Squeeze Theorem]] - [[Rolle's Theorem]] - [[The Extreme Value Theorem]] and [[The Mean Value Theorem]]