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Calculus Volume 1. Study calculus online free by downloading volume 1 of OpenStax's college Calculus textbook and using our accompanying online resources.
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 logarithmic functions.
This free textbook is an OpenStax resource written to increase student access to high-quality, peer-reviewed learning materials.
Calculus Volume 1 is designed to accommodate both Early and Late Transcendental approaches to calculus. Exponential and logarithmic functions are introduced informally in Chapter 1 and presented in more rigorous terms in Chapter 6.
In fact, integrals are used in a wide variety of mechanical and physical applications. In this chapter, we first introduce the theory behind integration and use integrals to calculate areas. From there, we develop the Fundamental Theorem of Calculus, which relates differentiation and integration.
2.1 A Preview of Calculus; 2.2 The Limit of a Function; 2.3 The Limit Laws; 2.4 Continuity; 2.5 The Precise Definition of a Limit
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 approximations of areas of circles.
Study precalculus online free by downloading OpenStax's Precalculus 2e textbook and using our accompanying online resources including a precalculus study guide.
Our Calculus Volume 2 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 maintaining the mathematical rigor inherent in the subject.
This free textbook is an OpenStax resource written to increase student access to high-quality, peer-reviewed learning materials.