Calculus Volume 1 - OpenStax
Study calculus online free by downloading volume 1 of OpenStax's college Calculus textbook and using our accompanying online resources.
Ch. 1 Introduction - Calculus Volume 1 - OpenStax
In this chapter, we review all the functions necessary to study calculus. We define polynomial, rational, trigonometric, exponential, and logarithmic functions. We review how to evaluate these functions, and we show the properties of their graphs.
1.1 Review of Functions - Calculus Volume 1 - OpenStax
In this section, we provide a formal definition of a function and examine several ways in which functions are represented—namely, through tables, formulas, and graphs. We study formal notation and terms related to functions. We also define composition of …
3.3 Differentiation Rules - Calculus Volume 1 - OpenStax
5.3 The Fundamental Theorem of Calculus; 5.4 Integration Formulas and the Net Change Theorem; 5.5 Substitution; 5.6 Integrals Involving Exponential and Logarithmic Functions; 5.7 Integrals Resulting in Inverse Trigonometric Functions
6.8 Exponential Growth and Decay - Calculus Volume 1 - OpenStax
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
Preface - Calculus Volume 1 - OpenStax
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.
2.4 Continuity - Calculus Volume 1 - OpenStax
As we continue our study of calculus, we revisit this theorem many times. The Intermediate Value Theorem. Functions that are continuous over intervals of the form [a, b], [a, b], where a and b are real numbers, exhibit many useful properties. Throughout our study of calculus, we will encounter many powerful theorems concerning such functions.
2.2 The Limit of a Function - Calculus Volume 1 - OpenStax
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.
Precalculus 2e - OpenStax
Study precalculus online free by downloading OpenStax's Precalculus 2e textbook and using our accompanying online resources including a precalculus study guide.
Index - Calculus Volume 1 - OpenStax
This free textbook is an OpenStax resource written to increase student access to high-quality, peer-reviewed learning materials.