Calculus is the mathematics that describes changes in functions. In this chapter, we review all the functions necessary to study calculus. We define polynomial, rational, trigonometric, exponential, and …

Study calculus online free by downloading Volume 3 of OpenStax's college Calculus textbook and using our accompanying online resources.

In many real-world applications, related quantities are changing with respect to time. For example, if we consider the balloon example again, we can say...

This free textbook is an OpenStax resource written to increase student access to high-quality, peer-reviewed learning materials.

Toward the end of the twentieth century, the values of stocks of internet and technology companies rose dramatically. As a result, the Standard and Poor...

We begin our study of calculus by revisiting the notion of secant lines and tangent lines. Recall that we used the slope of a secant line to a function ...

As we embark on our study of calculus, we shall see how its development arose from common solutions to practical problems in areas such as engineering physics—like the space travel problem posed in …

To work with this new topic, we need some new terms and definitions. First, an infinite sequence is an ordered list of numbers of the form...

This free textbook is an OpenStax resource written to increase student access to high-quality, peer-reviewed learning materials.

Our Calculus Volume 3 textbook adheres to the scope and sequence of most general calculus courses nationwide. We have worked to make calculus interesting and accessible to students while …