In mathematics education, precalculus, an advanced form of secondary school algebra, is a foundational mathematical discipline. It is sometimes considered to be an honors course. Courses and textbooks in precalculus are intended to prepare students for the study of calculus. Precalculus typically includes a review of algebra, as well as an introduction to exponential, logarithmic, trigonometric functions, vectors, complex numbers, conic sections, and analytic geometry. Equivalent college courses are introduction to analysis, college algebra, and trigonometry. Mathematics education is a term that refers both to the practice of teaching and learning mathematics, as well as to a field of scholarly research on this practice. ... Elementary algebra is a fundamental and relatively basic form of algebra taught to students who are presumed to have little or no formal knowledge of mathematics beyond arithmetic. ... Euclid, Greek mathematician, 3rd century BC, as imagined by by Raphael in this detail from The School of Athens. ... Three textbooks. ... Calculus (from Latin, pebble or little stone) is a branch of mathematics that includes the study of limits, derivatives, integrals, and infinite series, and constitutes a major part of modern university education. ... This article is about the branch of mathematics. ... The exponential function is one of the most important functions in mathematics. ... Logarithms to various bases: is to base e, is to base 10, and is to base 1. ... In mathematics, the trigonometric functions (also called circular functions) are functions of an angle. ... Graph of example function, The mathematical concept of a function expresses the intuitive idea of deterministic dependence between two quantities, one of which is viewed as primary (the independent variable, argument of the function, or its input) and the other as secondary (the value of the function, or output). A... A vector going from A to B. In physics and in vector calculus, a spatial vector, or simply vector, is a concept characterized by a magnitude and a direction. ... In mathematics, a complex number is a number of the form where a and b are real numbers, and i is the imaginary unit, with the property i 2 = −1. ... Wikibooks has more on the topic of Conic section Types of conic sections Table of conics, Cyclopaedia, 1728 In mathematics, a conic section (or just conic) is a curve that can be formed by intersecting a cone (more precisely, a right circular conical surface) with a plane. ... Analytic geometry, also called coordinate geometry and earlier referred to as Cartesian geometry or analytical geometry, is the study of geometry using the principles of algebra. ... Analysis has its beginnings in the rigorous formulation of calculus. ... This article is about the branch of mathematics. ... Wikibooks has a book on the topic of Trigonometry All of the trigonometric functions of an angle θ can be constructed geometrically in terms of a unit circle centered at O. Trigonometry (from Greek trigōnon triangle + metron measure[1]), informally called trig, is a branch of mathematics that deals with...

In detail, precalculus deals with:

• Sets
• Real numbers
• Complex numbers
• Solving inequalities and equations
• Properties of functions
• Composite function
• Polynomial functions
• Rational functions
• Trigonometry
• Trigonometric functions and their inverses
• Trigonometric identities
• Conic sections
• Exponential functions
• Logarithmic functions
• Sequences and series
• Binomial theorem
• Vectors
• Parametric equations
• Polar coordinates
• Matrices
• Mathematical induction

This article is about sets in mathematics. ... In mathematics, the real numbers may be described informally as numbers that can be given by an infinite decimal representation, such as 2. ... In mathematics, a complex number is a number of the form where a and b are real numbers, and i is the imaginary unit, with the property i 2 = −1. ... For the use of the < and > signs in punctuation, see Bracket. ... This article is about equations in mathematics. ... Graph of example function, The mathematical concept of a function expresses the intuitive idea of deterministic dependence between two quantities, one of which is viewed as primary (the independent variable, argument of the function, or its input) and the other as secondary (the value of the function, or output). A... In mathematics, a composite function, formed by the composition of one function on another, represents the application of the former to the result of the application of the latter to the argument of the composite. ... In mathematics, polynomial functions, or polynomials, are an important class of simple and smooth functions. ... In mathematics, a rational function in algebra is a function defined as a ratio of polynomials. ... Wikibooks has a book on the topic of Trigonometry All of the trigonometric functions of an angle θ can be constructed geometrically in terms of a unit circle centered at O. Trigonometry (from Greek trigōnon triangle + metron measure[1]), informally called trig, is a branch of mathematics that deals with... In mathematics, the trigonometric functions (also called circular functions) are functions of an angle. ... In mathematics, the trigonometric functions (also called circular functions) are functions of an angle. ... In mathematics, trigonometric identities are equations involving trigonometric functions that are true for all values of the occurring variables. ... Wikibooks has more on the topic of Conic section Types of conic sections Table of conics, Cyclopaedia, 1728 In mathematics, a conic section (or just conic) is a curve that can be formed by intersecting a cone (more precisely, a right circular conical surface) with a plane. ... The exponential function is one of the most important functions in mathematics. ... In mathematics, if two variables of bn = x are known, the third can be found. ... In mathematics, a sequence is a list of objects (or events) arranged in a linear fashion, such that the order of the members is well defined and significant. ... In mathematics, a series is often represented as the sum of a sequence of terms. ... In mathematics, the binomial theorem is an important formula giving the expansion of powers of sums. ... A vector going from A to B. In physics and in vector calculus, a spatial vector, or simply vector, is a concept characterized by a magnitude and a direction. ... Graph of a butterfly curve, a parametric equation discovered by Temple H. Fay In mathematics, a parametric equation explicitly relates two or more variables in terms of one or more independent parameters. ... This article describes some of the common coordinate systems that appear in elementary mathematics. ... In mathematics, a matrix (plural matrices) is a rectangular table of numbers or, more generally, a table consisting of abstract quantities that can be added and multiplied. ... Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true of all natural numbers. ...

External links

• Precalculus Homework Help Software - Bagatrix
• Exploring Pre-calculus - William Mueller
• FHS Precalculus Study Page - Oscar Krebs
• Pre-calculus - Math Forum
• Pre-calculus at MECCA (Memphis Educational Computer Connectivity Alliance)
• Online Graphing Calculator - WebGraphing.com
• Online Graphing Utility - nanoGrapher.nanoSouffle.net
• Precalculus information at Mathworld