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
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
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.
6.3 Volumes of Revolution: Cylindrical Shells - Calculus ... - 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
Index - Calculus Volume 1 - OpenStax
Access for free at https://openstax.org/books/calculus-volume-1/pages/1-introduction; Citation information. Use the information below to generate a citation. We recommend using a citation tool such as this one. Authors: Gilbert Strang, Edwin “Jed” Herman Publisher/website: OpenStax Book title: Calculus Volume 1
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
5.1 Sequences - Calculus Volume 2 - OpenStax
1.3 The Fundamental Theorem of Calculus; 1.4 Integration Formulas and the Net Change Theorem; 1.5 Substitution; 1.6 Integrals Involving Exponential and Logarithmic Functions; 1.7 Integrals Resulting in Inverse Trigonometric Functions
2.3 The Limit Laws - Calculus Volume 1 - OpenStax
Some of the geometric formulas we take for granted today were first derived by methods that anticipate some of the methods of calculus. The Greek mathematician Archimedes (ca. 287−212; BCE) was particularly inventive, using polygons inscribed within circles to approximate the area of the circle as the number of sides of the polygon increased.
A Table of Integrals - 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