Study calculus online free by downloading volume 1 of OpenStax's college Calculus textbook and using our accompanying online resources.

Learning Objectives 1.1.1Use functional notation to evaluate a function. 1.1.2Determine the domain and range of a function. 1.1.3Draw the graph of a function. 1.1.4Find the zeros of a function. …

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 …

Calculus Volume 1 Introduction Contents Highlights Print Figure 5.1Iceboating is a popular winter sport in parts of the northern United States and Europe. (credit: modification of work by Carter Brown, Flickr)

Learning Objectives 3.1.1Recognize the meaning of the tangent to a curve at a point. 3.1.2Calculate the slope of a tangent line. 3.1.3Identify the derivative as the limit of a difference quotient. 3.1.4Calculate …

Learning Objectives 5.2.1State the definition of the definite integral. 5.2.2Explain the terms integrand, limits of integration, and variable of integration. 5.2.3Explain when a function is integrable. …

Fundamental Theorem of Calculus Part 1: Integrals and Antiderivatives As mentioned earlier, the Fundamental Theorem of Calculus is an extremely powerful theorem that establishes the relationship …

About Calculus Volume 1 Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students …

Calculus Volume 1 Index Contents Highlights Print A absolute extremum4.3 Maxima and Minima absolute maximum4.3 Maxima and Minima absolute minimum4.3 Maxima and Minima absolute …

The concept of a limit or limiting process, essential to the understanding of calculus, has been around for thousands of years. In fact, early mathematicians used a limiting process to obtain better and better …