Precalculus

You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus!
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Trigonometric equations and identities

Learn how to solve trigonometric equations and how to use trigonometric identities to solve various problems.

Conic sections

Learn about the four conic sections and their equations: Circle, Ellipse, Parabola, and Hyperbola.

Vectors

Matrices

Learn what matrices are and about their various uses: solving systems of equations, transforming shapes and vectors, and representing real-world situations. Learn how to add, subtract, and multiply matrices, and find the inverses of matrices.

Imaginary and complex numbers

Understanding i and the complex plane

Parametric equations and polar coordinates

An alternative to Cartesian coordinates.

Probability and combinatorics

Basics of probability and combinatorics

Sequences, series and induction

An assortment of concepts in math that help us deal with sequences and proofs.

Partial fraction expansion

Learn how to rewrite a complex rational expression as the sum of more simple expressions.

Limits

Preview of the calculus topic of limits

Conic sections

Learn about the four conic sections and their equations: Circle, Ellipse, Parabola, and Hyperbola.
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All content in “Conic sections”

Introduction to conic sections

Conic sections are formed when you intersect a plane with a cone. In this tutorial, you will learn more about what makes conic sections special.

Expanded equation of a circle

Learn how to analyze an equation of a circle that is not given in the standard form. For example, find the center of the circle whose equation is x^2+y^2+4x-5=0.

Foci of an ellipse

Learn about the foci of an ellipse, which are two points for which the sum of the distances from any point on the ellipse is constant.

Focus and directrix of a parabola

A parabola is the set of all points equidistant from a point (called the focus) and a line (called the directrix). In this tutorial you will learn about the focus and the directrix, and how to find the equation of a parabola given its focus and directrix.

Hyperbolas not centered at the origin

Generalize what you learned about hyperbolas to study hyperbolas whose center can be any point.