Introduction
1
- P.1 Functions and Their Graphs
- P.2 Library of Functions; Mathematical Modeling
- P.3 Operations on Functions; Graphing Techniques
- P.4 Inverse Functions
- P.5 Exponential and Logarithmic Functions
- P.6 Trigonometric Functions
- P.7 Inverse Trigonometric Functions
- P.8 Technology Used in Calculus
Until now, the mathematics you have encountered has centered mainly on algebra, geometry, and trigonometry. These subjects have a long history, well over 2000 years. But calculus is relatively new; it was developed less than 400 years ago.
Calculus deals with change and how the change in one quantity affects other quantities. Fundamental to these ideas are functions and their properties.
In Chapter P, we discuss many of the functions used in calculus. We also provide a review of techniques from precalculus used to obtain the graphs of functions and to transform known functions into new functions.
Your instructor may choose to cover all or part of the chapter. Regardless, throughout the text, you will see the NEED TO REVIEW? marginal notes. They reference specific topics, often discussed in Chapter P.