Precalculus: A Prelude to Calculus
November 2008, ©2009
1. Functions and Their Graphs
2. Linear, Quadratic, Polynomial, and Rational Functions
3. Exponents and Logarithms
4. Area, e, and the Natural Logarithm
5. Trigonometric Functions
6. Applications of Trigonometry
7. Sequences, Series, and Limits
Index of Definitions
Index of Boxed Items
- Introduction to e--Now gives instructors a gentler path to help lead students to discover this remarkable number.
- Exercises and Problems--More exercises and problems have been added throughout the text.
- Additional Topics--Three new optional sections have been added, dealing with complex numbers, systems of equations and matrices, and vectors.
- Design--New full color design.
- Comprehensive Index--New comprehensive index now allows users to quickly locate topics within the book.
Unit-circle Approach--This approach is used because calculus requires the unit-circle approach and it allows for a well-motivated introduction to radian measure. Once the approach has been introduced, applications to right triangles are given.
Exercises and Problems--The difference between an exercise and a problem is that each exercise has a unique correct answer that is a mathematical object such as a number or a function, while the solutions to problems consist of explanations or examples. The solutions to the odd-numbered exercises appear in an index.
Integrated Student's Solutions Manual--The solutions manual encourages students to read the main text and students will save money by not having to purchase a separate solutions manual.
Designed to be Read--The writing style and layout are meant to induce students to read and understand the material. Explanations are more plentiful than typically found in precalculus books, with examples of concepts making the ideas concrete whenever possible.
Calculator Problems--A symbol appears next to problems that require a calculator, and some exercises and problems are designed to make students realize that by understanding the material, they can overcome the limitations of calculators.