Synopses & Reviews
The third edition of this ground-breaking text continues the authors' goal - a targeted introduction to precalculus that carefully balances concepts with procedures. Overall, this text is designed to provide a solid foundation to precalculus that focuses on a small number of key topics thereby emphasizing depth of understanding rather than breath of coverage. Developed by the Calculus Consortium, FMC 3e is flexible enough to be thought-provoking for well-prepared students while still remaining accessible to students with weaker backgrounds. As multiple representations encourage students to reflect on the material, each function is presented symbolically, numerically, graphically and verbally (the Rule of Four). Additionally, a large number of real-world applications, examples and problems enable students to create mathematical models that will help them understand and interpret the world in which they live.
Synopsis
With its combination of concepts and skill-building, as well as the focus on functions, the new third edition better prepares readers for calculus. In order to make this complex subject more engaging, the authors incorporate the rule of four, superior exercises, a concise presentation, rich real-world data and an appropriate integration of technology. They also introduce linear, exponential, power, and periodic functions before polynomial and rational functions to take advantage of their use to model physical phenomena.
About the Author
Eric Connally is a Professor of Mathematics at Harvard University Extension in Cambridge, Massachusetts.
Table of Contents
1. Linear Functions and Change.
2. Functions.
3. Exponential Functions.
4. Logarithmic Functions.
5. Transformations of Functions and Their Graphs.
6. Trigonometric Functions.
7. Trigonometry.
8. Compositions, Inverses, and Combinations of Functions.
9. Polynomial and Rational Functions.
10. Vectors and Matrices.
11. Sequences and Series.
12. Parametric Equations and Conic Sections.
Answers to Odd-Numbered Problems.