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.
Calculus Volume 1 - OpenStax
Study calculus online free by downloading volume 1 of OpenStax's college Calculus textbook and using our accompanying online resources.
Calculus Volume 2 - OpenStax
Study calculus online free by downloading Volume 2 of OpenStax's college Calculus textbook and using our accompanying online resources.
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
4.7 Applied Optimization Problems - Calculus Volume 1 - OpenStax
One common application of calculus is calculating the minimum or maximum value of a function. For example, companies often want to minimize production costs or maximize revenue. In manufacturing, it is often desirable to minimize the amount of material used to package a product with a certain volume.
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
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
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
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.
5.2 The Definite Integral - Calculus Volume 1 - OpenStax
Integral notation goes back to the late seventeenth century and is one of the contributions of Gottfried Wilhelm Leibniz, who is often considered to be the codiscoverer of calculus, along with Isaac Newton. The integration symbol ∫ is an elongated S, suggesting sigma or summation.