Example and some exercises on how to find the magnitude of a scalar multiple.

A 3-page handout with examples and exercises in adding, subtracting, and multiplying complex numbers in the complex plane, as well as finding complex conjugates.

A tutorial devoted to the steps used to graph a quadratic function. Includes tables, graphs, and several sample problems.

Students will find the sum of the squares of the residuals for a function found by linear regression.

Students will transform the cosine function so that it fits, approximately, data on the average daily temperatures for a city.

This tutorial applies all of the tools from triangle trigonometry to two specific cases: navigation and surveying. There are examples of each, as well as several exercises with solutions.

An introduction to two important uses of synthetic substitution, the remainder theorem and the factor theorem. Includes examples and sample problems with solutions.

An introduction to all six trigonometric function in the setting of right triangles. This tutorial begins with the six definitions and goes through applications involving angles of elevation and angles of depression. Includes several...

An introduction to finding the area of a triangle using the sine function. Includes several pictures and examples.

This tutorial introduces the double-angle and half-angle formulas for sine, cosine, and tangent, and gives sample application and proof exercises. Assumes knowledge of the sum and difference formulas.

A wonderful study tutorial explaining logarithmic functions. Learn how to solve simple logarithmic functions. Includes many graphs and examples.

A wonderful study tutorial explaining the limits of infinite sequences. There are theorems and examples.

A precalculus tutorial on the advanced composition of functions.

Wrap up a bigger pre-calculus tutorial by taking a look at exponentials and logarithms.

An introduction to solving acute and obtuse triangles by using the law of sines, including a derivation of the formula. Includes several pictures and examples.

An introduction to functions with two variables, including several examples relating to linear programming. The tutorial includes graphical examples of the functions and also review questions located at the bottom of the page.

An introduction to the natural exponential function, beginning with the limit definition of the irrational number e. Includes several examples and exercises with solutions which deal with the compound interest formula.

An introduction to logarithms with bases other than 10 and e, and how to work with them when solving equations. This tutorial includes lots of examples and exercises with solutions.

This study tutorial covers more advanced graphing of sine and cosine functions, including horizontal and vertical translations (phase shifts and vertical shifts). Includes several examples and graphs.

Eight laws reguarding logarithms. The laws include the Law of X, 0, 1, and more. Sample problems and solutions provided.

An introduction to graphing the sine and cosine functions by using the 30-60-90 and 45-45-90 right triangle values of the two functions as guides.

A site detailing the history of calculus. Many links to informative pages on historical figures. Also links to birthplace maps.

This Precalculus review (Calculus preview) lesson explains how to find the vertical asymptotes when graphing rational functions.

This precalculus review lesson reviews the difference quotient.