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Precalculus

ISBN-10: 0495113484

ISBN-13: 9780495113485

Edition: 4th 2007

Authors: J. Douglas Faires, James DeFranza

List price: $234.95
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Description:

PRECALCULUS, Fourth Edition focuses on teaching the essentials of what a student needs to fulfill their precalculus requirement and to fully prepare them to succeed in calculus. It provides students with an integrated review of algebra and trigonometry while focusing on essential calculus concepts. Faires and DeFranza prepare students for calculus by providing a solid grounding in analysis and graphing, tools necessary to make a successful transition to calculus. This streamlined text provides all the mathematics that students need--it doesn't bog them down in review, or overwhelm them with too much, too soon. The authors are careful to keep this book, unlike many of the precalculus books on the market, at a length that can be covered in one term.
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Book details

List price: $234.95
Edition: 4th
Copyright year: 2007
Publisher: Brooks/Cole
Publication date: 9/12/2006
Binding: Hardcover
Pages: 464
Size: 7.40" wide x 9.30" long x 0.70" tall
Weight: 1.804
Language: English

J. Douglas Faires is a Emeritus Professor of Mathematics at Youngstown State University, where he received his undergraduate degree. His masters and doctoral degrees were awarded by the University of South Carolina. His mathematical interests include analysis, numerical analysis, mathematics history, and problems solving. Dr. Faires has won numerous awards, including the Outstanding College-University Teacher of Mathematics by the Ohio Section of MAA and five Distinguished Faculty awards from Youngstown State University, which also awarded him an Honorary Doctor of Science award in 2006. Faires served on the Council of Pi Mu Epsilon for nearly two decades, including a term as President, was the Co-Director of the American Mathematics Competitions AMC-10 and AMC-12 examinations for 8 years, and has been a long-term judge for the COMAP International Contest in Mathematical Modeling. He has authored or co-authored more than 20 books, including recent MAA publications to assist young students with mathematical problem solving.

Jim DeFranza is a Professor of Mathematics at St. Lawrence University. His research interests are in analysis, sequence space theory and summability. He received his PhD from Kent State University.

Functions
Introduction
The Real Line
Inequalities
Intervals
Absolute Values
The Coordinate Plane
Distance Between Points in the Plane
Circles in the Plane
Completing the Square
Equations and Graphs
Graphs of Equations
Symmetry of a Graph
Using Technology to Graph Equations
Functions
Applications of Functions
Linear Functions
Parallel and Perpendicular Lines
Quadratic Functions
The Standard Form of a Quadratic Equation
The Quadratic Formula
New Functions From Old
Introduction
Other Common Functions
The Absolute Value Function
The Square Root Function
The Greatest Integer Function
Arithmetic Combinations of Functions
Composition of Functions
Inverse Functions
Algebraic Functions
Introduction
Polynomial Functions
Finding Factors and Zeros of Polynomials
The Rational Zero Test
Rational Functions
Other Algebraic Functions
Complex Roots of Polynomials
Trigonometric Functions
Introduction
Measuring Angles
Length of a Circular Arc
Area of a Circular Sector
The Sine and Cosine Functions
Graphs of the Sine and Cosine Functions
Other Trigonometric Functions
The Graph of the Tangent Function
Trigonometric Identities
Pythagorean Identities
Sum and Difference Formulas
Double Angle Formulas
Half Angle Formulas
Products of Sines and Cosines
Right-Triangle Trigonometry
Inverse Trigonometric Functions
Applications of Trigonometric Functions
Law of Cosines
Law of Sines
Simple Harmonic Motion
Heron's Formula
Exponential And Logarithm Functions
Introduction
The Natural Exponential Function
Compound Interest
Logarithm Functions
Exponential Growth and Decay
Conic Sections, Polar Coordinates, And Parametric Equations
Introduction
Parabolas
Ellipses
Hyperbolas
Polar Coordinates
Graphs of Polar Equations
Conic Sections in Polar Coordinates
Parametric Equations