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In mathematics education, precalculus is a course with university or high school level algebra and trigonometry that is designed to prepare students for the study of calculus.

Schools often distinguish between algebra and trigonometry as two separate parts of the coursework.

Calculus (from Latin calculus, literally "small pebble used for counting") is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.

It has two major branches, differential calculus (concerning rates of change and slopes of curves), and integral calculus (concerning accumulation of quantities and the areas under and between curves); these two branches are related to each other by the fundamental theorem of calculus.

Both branches make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit.

Generally, modern calculus is considered to have been developed in the 17th century by Isaac Newton and Gottfried Leibniz.

Today, calculus has widespread uses in science, engineering and economics.

Geometry (from the; "earth", "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

A mathematician who works in the field of geometry is called a geometer.

Pre-algebra is a common name for a course in middle school mathematics.

In the United States, pre-algebra is usually taught in the 7th grade.

The objective of pre-algebra is to prepare him/her for the study of algebra.

Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers), structure, space, and change.

There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics.