CALCULUS GLOSSARY
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Title  Description  

Indefinite Integral  An integral with no limits of integration, an Indefinite Integral, can be thought of an an antiderivative. 

Indeterminate  Often a resultant fraction like 0/0 is an Indeterminate form that requires more analysis to determine its true nature, depending on the functions involved. 

Infinite  In common language, not countable in any practical manner. In math, having no bounds or boundary. 

Infinite Series  Any series of terms whose progression has an unlimited (limitless) number of terms is an Infinite Series. 

Infinitesimal  Infinitely small is Infinitesimal, so tiny that it occupies no space. While in human terms anything really small (a molecule) is Infinitesimal, in math the term means approaching zero in size. 

Infinity  That without bound; limitless. 

Inflection  On the graph of a function, a point of Inflection is where the curve begins to "bend the other way."  
Instantaneous Rate of Change  The value of the first derivative of a standard function of the form y = f(x). 

Instantaneous Velocity  The reading at any instant on a speedometer gives an Instantaneous Velocity. To be precise, the speedometer gives an instant snapshot of speed (only) with no direction; physical velocity has both magnitude and direction, as a vector. 

Integral  A specific function in calculus. Or, simply related to integers. Integral might also mean "important" in common language. 

Integrand  The function that undergoes integration is the Integrand. 

Integration  A process, or function, in calculus to sum an infinite number of infinitesimal increments. 

Intermediate Value Theorem  The IVT basically says that between two different values is an intermediate value somewhere between the extremes. 

Inverse Function  For most functions in Cartesian coordinates, the inverse function is the mirror image around the x=y line. 

Inverse, Matrix  When two matrices multiply to produce the identity matrix, each is said to be the Inverse Matrix of the other. 
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