Appropriate for Freshman/Sophomore courses in Precalculus.
This text provides a top down approach to the study of functions with
interesting and modern applications to motivate students. The study
of functions is supported by the Easy Grapher Template,
the Graphing Calculator, and by the Internet. Coverage of topics is
traditional but the presentation and problem sets are truly reform.
Exercises are carefully organized and graded. Each
Basic problems building directly on the examples in
Problems that extend beyond the basics.
Applications that are directly related to the mathematics
of the section.
All the features Connect:
Applications connect various disciplines to the mathematics
Review material connects the text with students' previous
Graphing Calculator examples and exercises connects
each function with computations, graphs and curve fitting for other
The Internet connects the project with the world of
information and interactive possibilities of the web.
Top Down approach to the study of functions allows
students to study each function in context as a member of the family
of reference functions. See Chapter 1 which covers the properties,
notation and vocabulary common to all functions.
Innovative, real life applications motivate students
and provides material for instructors to create cooperative learning
experiences. See the Equilibrium discussions in Section 2.1 where
extinction/immigration of a species of spiders is studied alongside
an analogous application of equilibrium in economics with supply
and demand functions.
Curve-fitting is integrated throughout the text
from linear to logistic functions and everywhere in between. Curve
fitting provides a modern theme and a realistic application of the
Exploring the Concepts. Heuristic opportunities
are included in every section and are interactive on the web site.
Graphing calculators provide the opportunity for students to discover
the concepts themselves - the first step towards becoming life-long
2. Linear and Quadratic Functions.
3. Polynomial and Rational Functions.
4. Exponential and Logarithmic Functions.
5. Trigonometry and the Circular Functions.
6. Trigonometric Equations and Applications.
7. Polar Coordinates and Parametric Equations.
8. Conic Sections and Quadric Surfaces.
9. Matrices, Determinants and Vectors.
Appendix I. Prerequisite Material.
Appendix II. Library of Reference Functions.
Appendix III. Regression Analysis Formulas.
Appendix IV. Formulas.
Appendix V. Theory of Equations.
Appendix VI. The Binomial Theorem.
Appendix VII. Proof by Math Induction.
Answers to Odd-Numbered Exercises.