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Synopses & Reviews

Publisher Comments:

These authors understand what it takes to be successful in mathematics, the skills that students bring to this course, and the way that technology can be used to enhance learning without sacrificing math skills. As a result, they have created a textbook with an overall learning system involving preparation, practice, and review to help students get the most out of the time they put into studying. In sum, Sullivan and Sullivan's Precalculus: Enhanced with Graphing Utilities gives students a model for success in mathematics.


'\'Four chapters of Intermediate Algebra review. Perfect for a slower-paced course or for individual review \''

About the Author


Mike Sullivan Professor of Mathematics at Chicago State University received a Ph.D. in mathematics from Illinois Institute of Technology. Mike has taught at Chicago State for over 30 years. He is a native of Chicago’s South Side and currently resides in Oaklawn.  Mike has four children.  The two oldest have degrees in mathematics and assisted in proofing, checking examples and exercises, and writing solutions manuals for this project.  Mike III co-authored the Sullivan Graphing with Data Analysis series as well as this series.  Dan, the youngest, sells for Prentice Hall as a generalist.


Mike has authored or co-authored over ten books.  He owns a travel agency, and splits his time between a condo in Naples, Florida and a home in Oaklawn, where Mike enjoys gardening.  Mike first signed this series with Deleen Publishing (Acquired by Macmillan) in 1985.


Mike Sullivan III is a professor of mathematics at Joliet Junior College.  He holds graduate degrees from Depot University in both mathematics and economics.  Mike has co-authored both of the Sullivan graphing series and collaborated with his sister to author supplements for all of the Sullivan series. Mike has recently authored a brand new successful Statistics book for Prentice Hall Fundamentals of Statistics, 1/e 2005 and Statistics: Informed Decisions Using Data, 1/e, 2004.  Mike is currently working on a developmental math series for Prentice Hall that will be published in 2007. Mike is the father of three children.  He is an avid golfer and tries to spend as much of his limited free time as possible on the golf course.


Why We Wrote the Book:


Work on this series began with a unique perspective.  Teaching at a large urban institution and a smaller two-year college has allowed us to see firsthand the challenges associated with teaching students with diverse backgrounds in an urban setting.  Successful textbooks must be accessible to students.  As lead author of this series, one of the most important things I bring to the project is my experience as author of a successful calculus text.  Mike and I are both aware that students must be prepared in a Precalculus course for subsequent mathematics courses.  We also realize that many College Algebra students will not be going on to take upper level math courses.  In this series we resolved the seeming dilemma without sacrificing accessibility.

 The books in this series are designed to be mathematically comprehensive and to provide substantial mathematical preparation for subsequent courses.  At the same time, great effort has been expended to motivate the material and to make it accessible to even poorly prepared students.'

Table of Contents

Chapter 1 Graphs

1.1  Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations

1.2  Intercepts; Symmetry; Graphing Key Equations

1.3  Solving Equations Using a Graphing Utility

1.4  Lines

1.5  Circles


Chapter 2  Functions and Their Graphs

2.1 Functions

2.2 The Graph of a Function

2.3 Properties of Functions

2.4 Library of Functions; Piecewise-defined Functions

2.5 Graphing Techniques: Transformations

2.6 Mathematical Models: Building Functions


Chapter 3  Linear and Quadratic Functions

3.1 Linear Functions, Their Properties, and Linear Models

3.2 Building Linear Models from Data; Direct Variation

3.3 Quadratic Functions and Their Properties

3.4 Building Quadratic Models from Verbal Descriptions and Data

3.5 Inequalities Involving Quadratic Functions


Chapter 4  Polynomial and Rational Functions

4.1 Polynomial Functions and Models

4.2 Properties of Rational Functions

4.3 The Graph of a Rational Function

4.4 Polynomial and Rational Inequalities

4.5 The Real Zeros of a Polynomial Function

4.6 Complex Zeros; Fundamental Theorem of Algebra


Chapter 5  Exponential and Logarithmic Functions

5.1 Composite Functions

5.2 One-to-One Functions; Inverse Functions

5.3 Exponential Functions

5.4 Logarithmic Functions

5.5 Properties of Logarithms

5.6 Logarithmic and Exponential Equations

5.7 Financial Models

5.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models

5.9 Building Exponential, Logarithmic, and Logistic Models from Data


Chapter 6 Trigonometric Functions

6.1 Angles and Their Measure

6.2 Trigonometric Functions: Unit Circle Approach

6.3 Properties of the Trigonometric Functions

6.4 Graphs of the Sine and Cosine Functions

6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions

6.6 Phase Shift; Building Sinusoidal Models


Chapter 7 Analytic Trigonometry

7.1 The Inverse Sine, Cosine, and Tangent Functions

7.2 The Inverse Trigonometric Functions (Continued)

7.3 Trigonometric Identities

7.4 Sum and Difference Formulas

7.5 Double-angle and Half-angle Formulas

7.6 Product-to-Sum and Sum-to-Product Formulas

7.7 Trigonometric Equations (I)

7.8 Trigonometric Equations (II)


Chapter 8  Applications of Trigonometric Functions

8.1 Applications Involving Right Triangles

8.2 The Law of Sines

8.3 The Law of Cosines

8.4 Area of a Triangle

8.5 Simple Harmonic Motion; Damped Motion; Combining Waves


Chapter 9  Polar Coordinates; Vectors

9.1 Polar Coordinates

9.2 Polar Equations and Graphs

9.3 The Complex Plane; DeMoivre’s Theorem

9.4 Vectors

9.5 The Dot Product

9.6 Vectors in Space

9.7 The Cross Product


Chapter 10  Analytic Geometry

10.1 Conics

10.2 The Parabola

10.3 The Ellipse

10.4 The Hyperbola

10.5 Rotation of Axes; General Form of a Conic

10.6 Polar Equations of Conics

10.7 Plane Curves and Parametric Equations


Chapter 11  Systems of Equations and Inequalities

11.1 Systems of Linear Equations: Substitution and Elimination

11.2 Systems of Linear Equations: Matrices

11.3 Systems of Linear Equations: Determinants

11.4 Matrix Algebra

11.5 Partial Fraction Decomposition

11.6 Systems of Nonlinear Equations

11.7 Systems of Inequalities

11.8 Linear Programming


Chapter 12 Sequences; Induction; the Binomial Theorem

12.1 Sequences

12.2 Arithmetic Sequences

12.3 Geometric Sequences; Geometric Series

12.4 Mathematical Induction

12.5 The Binomial Theorem


Chapter 13  Counting and Probability

13.1 Counting

13.2 Permutations and Combinations

13.3 Probability


Chapter 14  A Preview of Calculus: The Limit, Derivative, and Integral of a Function

14.1 Finding Limits Using Tables and Graphs

14.2 Algebra Techniques for Finding Limits

14.3 One-side Limits; Continuous Functions

14.4 The Tangent Problem; The Derivative

14.5 The Area Problem; The Integral


Appendix A  Review

A.1 Algebra Essentials

A.2 Geometry Essentials

A.3 Polynomials

A.4 Synthetic Division

A.5 Rational Expressions

A.6 Solving Equations

A.7 Complex Numbers; Quadratic Equations in the Complex Number System

A.8 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications

A.9 Interval Notation; Solving Inequalities

A.10 nth Roots; Rational Exponents


Appendix B The Limit of a Sequence; Infinite Series


Product Details

Prentice Hall
Ledet, Julia
Sullivan, Michael
SullivanIII, Michael
Edition Description:
Trade paper
The Sullivan Enhanced with Graphing Utilities Series
Publication Date:
Grade Level:
College/higher education:
9.9 x 8.2 x 2.4 in 2268 gr

Related Subjects

Science and Mathematics » Mathematics » Calculus » General

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Product details 1200 pages Prentice Hall - English 9780131490925 Reviews:
"Synopsis" by , '\'Four chapters of Intermediate Algebra review. Perfect for a slower-paced course or for individual review \''
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