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Synopses & ReviewsPublisher 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. Synopsis:'\'Four chapters of Intermediate Algebra review. Perfect for a slowerpaced 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 coauthored 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 coauthored 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 coauthored 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 twoyear 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 ContentsChapter 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; Piecewisedefined 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 OnetoOne 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 Doubleangle and Halfangle Formulas 7.6 ProducttoSum and SumtoProduct 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 Oneside 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
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