Precalculus

Precalculus is an advanced form of secondary school algebra intended to prepare students for the study of calculus. Pre-calculus typically includes a review of algebra, as well as an introduction to exponential, logarithmic and trigonometric functions and analytic geometry. Equivalent courses are introduction to analysis, college algebra, and trigonometry.

In detail, precalculus deals with:

Numbers

 * Sets
 * Complex numbers
 * Real numbers
 * Imaginary numbers

Function

 * Properties of functions
 * Composite functions
 * Polynomial functions
 * Rational functions
 * Exponential functions
 * Logarithmic functions
 * Polar coordinates system

Equation

 * Polynomial equations
 * Parametric equations
 * Differential equation
 * Ordinary differential equations
 * Solving equations and inequalities
 * Matrices

Trigonometry

 * Trigonometry
 * Trigonometric functions and their function inverses
 * Trigonometric identities
 * Conic sections
 * Sequences and Series
 * Binomial theorem
 * Euclidean vectors
 * Mathematical induction