Algebra and Trigonometry Enhanced with Graphing Utilities

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  • Edition: 5th
  • Format: Hardcover
  • Copyright: 12/28/2007
  • Publisher: Pearson
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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 a 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'sAlgebra and Trigonometry: Enhanced with Graphing Utilitiesgives students a model for success in mathematics.

Author Biography

Mike Sullivan is a Professor of Mathematics at Chicago State University and received a Ph.D. in mathematics from Illinois Institute of Technology. Mike has taught at Chicago State for over 30 years and has authored or co-authored over fifty books. Mike has four children, all of whom are involved with mathematics or publishing: Kathleen, who teaches college mathematics; Mike III, who co-authors this series and  teaches college mathematics; Dan, who is a Pearson Education sales representative; and Colleen, who teaches middle-school mathematics. When he's not writing, Mike enjoys gardening or spending time with his family, including nine grandchildren.  


Mike Sullivan III is a professor of mathematics at Joliet Junior College.  He holds graduate degrees from DePaul University in both mathematics and economics.  Mike is an author or co-author on more than 20 books, including a statistics book and a developmental mathematics series. Mike is the father of three children and an avid golfer who tries to spend as much of his limited free time as possible on the golf course.

Table of Contents

Real Numbers
Algebra Essentials
Geometry Essentials
Factoring Polynomials
Synthetic Division
Rational Expressions
nth Roots; Rational Exponents
Equations and Inequalities
Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations
Solving Equations Using a Graphing Utility; Linear and Rational Equations
Quadratic Equations
Complex Numbers; Quadratic Equations in the Complex Number System
Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable Equations
Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs
Solving Inequalities
Symmetry; Graphing Key Equations
Functions and Their Graphs
The Graph of a Function
Properties of Functions
Library of Functions; Piecewise-defined Functions
Graphing Techniques: Transformations
Mathematical Models: Building Functions
Linear and Quadratic Functions
Linear Functions, Their Properties, and Linear Models
Building Linear Models from Data; Direct Variation
Quadratic Functions and Their Properties
Building Quadratic Models from Verbal Descriptions and Data
Inequalities Involving Quadratic Functions
Polynomial and Rational Functions
Polynomial Functions and Models
Properties of Rational Functions
The Graph of a Rational Function; Inverse and Joint Variation
Polynomial and Rational Inequalities
The Real Zeros of a Polynomial Function
Complex Zeros; Fundamental Theorem of Algebra
Exponential and Logarithmic Functions
Composite Functions
One-to-One Functions; Inverse Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Logarithmic and Exponential Equations
Financial Models
Exponential Growth and Decay Models; Newton s Law; Logistic Growth and Decay Models
Building Exponential, Logarithmic, and Logistic Models from Data
Trigonometric Functions
Angles and Their Measure
Right Triangle Trigonometry
Evaluating Trigonometric Functions of Acute Angles
Evaluating Trigonometric Functions of General Angle
Unit Circle Approach; Properties of the Trigonometric Functions
Graphs of the Sine and Cosine Functions
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
Phase Shift; Building Sinusoidal Models
Analytic Trigonometry
The Inverse Sine, Cosine, and Tangent Functions
The Inverse Trigonometric Functions (Continued)
Trigonometric Identities
Sum and Difference Formulas
Double-angle and Half-angle Formulas
Product-to-Sum and Sum-to-Product Formulas
Trigonometric Equations (I)
Trigonometric Equations (II)
Applications of Trigonometric Functions
Applications Involving Right Triangles
The Law of Sines
The Law of Cosines
Area of a Triangle
Simple Harmonic Motion; Damped Motion; Combining Waves
Polar Coordinates; Vectors
Polar Coordinates
Polar Equations and Graphs
The Complex Plane; De Moivre s Theorem
The Dot Product
Analytic Geometry
The Parabola
Table of Contents provided by Publisher. All Rights Reserved.

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