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 1 of OpenStax's college Calculus textbook and using our accompanying online resources.

Study calculus online free by downloading Volume 3 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. …

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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 …

Calculus is the mathematics of change, and rates of change are expressed by derivatives. Thus, one of the most common ways to use calculus is to set up an equation containing an unknown function y = f …

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Learning Objectives 1.2.1Calculate the slope of a linear function and interpret its meaning. 1.2.2Recognize the degree of a polynomial. 1.2.3Find the roots of a quadratic polynomial. …

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 …