Contemporary Precalculus: A Graphing Approach, 5th Edition

Thomas W. Hungerford, Douglas J. Shaw

Copyright 2009
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Contemporary Precalculus: A Graphing Approach 5th Edition by Thomas W. Hungerford/Douglas J. Shaw

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Overview
Meet the Authors
What's New
Features
Table of Contents
Pricing

Overview

Respected for its detailed guidance in using technology, CONTEMPORARY PRECALCULUS: A GRAPHING APPROACH, Fifth Edition, is written from the ground up to be used with graphing technology--particularly graphing calculators. The text has also long been recognized for its careful, thorough explanations and its presentation of mathematics in an informal yet mathematically precise manner. The graphing approach is supported by realistic applications, including many using real data and numerous new ones. Thomas W. Hungerford and new coauthor Douglas J. Shaw also include a greater emphasis than many texts on the "why?" of mathematics--which is addressed in both the exposition and in the exercise sets by focusing on algebraic, graphical, and numerical perspectives.

Meet the Authors

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Thomas W. Hungerford

Thomas W. Hungerford received his M.S. and Ph.D. from the University of Chicago. He has taught at the University of Washington and at Cleveland State University, and is now at St. Louis University. His research fields are algebra and mathematics education. He is the author of many notable books for undergraduate and graduate level courses. In addition to ABSTRACT ALGEBRA: AN INTRODUCTION, these include: ALGEBRA (Springer, Graduate Texts in Mathematics, #73. 1974); MATHEMATICS WITH APPLICATIONS, Tenth Edition (Pearson, 2011; with M. Lial and J. Holcomb); and CONTEMPORARY PRECALCULUS, Fifth Edition (Cengage, 2009; with D. Shaw).

Douglas J. Shaw

Douglas Shaw received his M.S. from the University of Illinois and Ph.D. from the University of Michigan. He was a visiting professor at the University of Minnesota, and is currently at the University of Northern Iowa. His research is in combinatorics, number theory, and tertiary mathematics education. He has written instructor's guides for Brooks/Cole and worked on many other ancillaries as well. When he took Abstract Algebra in graduate school, he used one of Thomas Hungerford's texts and never sold it back to the bookstore.

What's New

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More than 20 percent of the exercises are new, and every exercise retained from the previous edition has been examined for accuracy and appropriateness. To maintain topical relevance, data has been researched and updated.
New Section Objectives list the skills students should master by working through the material, thereby simplifying lesson planning for instructors.
In addition to Chapter Review exercises, each chapter now has a Chapter Test (in two parts for longer chapters), with answers for both odd and even questions in the answer section.
Formerly placed at the end of selected sections in the early chapters, Calculator Investigations (which encourage students to become familiar with the capabilities and limitations of graphing calculators) are now integrated into the exercise sets for those sections.
Also new to this edition is Enhanced WebAssign, a proven homework management system that allows you to assign, collect, grade, and record homework assignments easily via the Web.

Features

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CONTEMPORARY PRECALCULUS: A GRAPHING APPROACH, Fifth Edition, is written from the ground up as a graphing calculator book, making it easier to assign "real" problems.
The book includes material on limits and continuity, not always found in precalculus texts but desired by many instructors who intend to prepare their students for calculus.
Presentation of data analysis is integrated throughout, with a focus on algebraic, graphical, and numerical perspectives.
Guidance on technology usage (i.e., working with a graphing calculator) is placed throughout the text where appropriate.

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1. BASICS.
The Real Number System. Special Topics: Decimal Representation of Real Numbers. Solving Equations Algebraically. Special Topics: Absolute Value Equations. Special Topics: Variation. The Coordinate Plane. Lines. Discovery Project: Modeling the Real World with Lines.
2. GRAPHS AND TECHNOLOGY.
Graphs. Solving Equations Graphically and Numerically. Applications of Equations. Optimization Applications. Linear Models. Discovery Project: Supply and Demand.
3. FUNCTIONS AND GRAPHS.
Functions. Function Notation. Graphs of Functions. Special Topics: Graph Reading. Graphs and Transformations. Special Topics: Symmetry. Operations on Functions. Rates of Change. Inverse Functions. Discovery Project: Feedback: Good and Bad.
4. POLYNOMIAL AND RATIONAL FUNCTIONS.
Quadratic Functions. Polynomial Functions. Special Topics: Synthetic Division. Real Roots of Polynomials. Graphs of Polynomial Functions. Special Topics: Polynomial Models. Rational Functions. Special Topics: Other Rational Functions. Polynomial and Rational Inequalities. Special Topics: Absolute Value Inequalities. Complex Numbers. Theory of Equations. Discovery Project: Architectural Arches.
5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Radicals and Rational Exponents. Special Topics: Radical Equations. Exponential Functions. Special Topics: Compound Interest and the Number e. Common and Natural Logarithmic Functions. Properties of Logarithms. Special Topics: Logarithmic Functions to Other Bases. Algebraic Solutions of Exponential and Logarithmic Equations. Exponential, Logarithmic, and Other Models. Discovery Project: Exponential and Logistic Modeling of Diseases.
6. TRIGONOMETRIC FUNCTIONS.
Angles and Their Measurement. The Sine, Cosine, and Tangent Functions. Alternate: The Sine, Cosine, and Tangent Functions. Algebra and Identities. Basic Graphs. Periodic Graphs and Simple Harmonic Motion. Special Topics: Other Trigonometric Graphs. Other Trigonometric Functions. Discovery Project: Pistons and Flywheels.
7. TRIGONOMETRIC IDENTITIES AND EQUATIONS.
Basic Identities and Proofs. Addition and Subtraction Identities. Special Topics: Lines and Angles. Other Identities. Inverse Trigonometric Functions. Trigonometric Equations. Discovery Project: The Sun and the Moon.
8. TRIANGLE TRIGONOMETRY.
Trigonometric Functions of Angles. Alternate: Trigonometric Functions of Angles. Applications of Right Triangle Trigonometry. The Law of Cosines. The Law of Sines. Special Topics: The Area of a Triangle. Discovery Project: Life on a Sphere.
9. APPLICATIONS OF TRIGONOMETRY.
The Complex Plane and Polar Form for Complex Numbers. DeMoivre s Theorem and nth Roots of Complex Numbers. Vectors in the Plane. The Dot Product. Discovery Project: Surveying.
10. ANALYTIC GEOMETRY.
Circles and Ellipses. Hyperbolas. Parabolas. Rotations and Second-Degree Equations. Special Topics: Rotation of Axes. Plane Curves and Parametric Equations. Polar Coordinates. Polar Equations of Conics. Discovery Project: Designing Machines to Make Designs.
11. SYSTEMS OF EQUATIONS.
Systems of Linear Equations in Two Variables. Special Topics: Systems of Nonlinear Equations. Large Systems of Linear Equations. Matrix Methods for Square Systems. Discovery Project: Input-Output Analysis.
12. DISCRETE ALGEBRA.
Sequences and Sums. Arithmetic Sequences. Geometric Sequences. Special Topics: Infinite Series. The Binomial Theorem. Mathematical Induction. Discovery Project: Taking Your Chances.
13. LIMITS AND CONTINUITY.
Limits of Functions. Properties of Limits. Special Topics: The Formal Definition of Limit. Continuity. Limits Involving Infinity. Discovery Project: Black Holes.