Calculus 101

The study of instantaneous rates of change, such as the velocity of a moving object at a specific moment in time.

The study of accumulating quantities, such as the total distance traveled by an object over a certain period of time.

A branch of mathematics that deals with continuous change, involving concepts such as rates of change, area, and volume.

A rule or relationship that assigns exactly one output value to each input value.

A way to combine two or more functions by applying the output of one function as the input of another function.

A collection of ordered pairs, where the first element of each pair comes from the first set and the second element comes from the second set.

Representing functions using tables, formulas (equations), and graphs.

Isaac Newton and Gottfried Wilhelm Leibniz, independently developed the foundational concepts of Calculus.

A set where each element of the first set is paired with exactly one element of the second set.

The process of using algebraic techniques to analyze and manipulate functions.