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Author:   Michael Sullivan ,  Michael Sullivan, III
Publisher:   Pearson Education (US)
Imprint:   Pearson
Edition:   4th edition
Dimensions:   Width: 18.00cm , Height: 5.00cm , Length: 23.00cm
Weight:   1.494kg
ISBN:  

9780134689883

ISBN 10:   0134689887
Pages:   928
Publication Date:   09 October 2018
Audience:   College/higher education ,  Tertiary & Higher Education
Replaced By:   9780137944835
Format:   Paperback
Publisher's Status:   Active
Availability:   Available To Order  
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Table of Contents

Table of Contents Foundations: A Prelude to Functions F.1 The Distance and Midpoint Formulas F.2 Graphs of Equations in Two Variables; Intercepts; Symmetry F.3 Lines F.4 Circles Chapter Project Functions and Their Graphs 1.1 Functions 1.2 The Graph of a Function 1.3 Properties of Functions 1.4 Library of Functions; Piecewise-defined Functions 1.5 Graphing Techniques: Transformations 1.6 Mathematical Models: Building Functions 1.7 Building Mathematical Models Using Variation Chapter Review Chapter Test Chapter Projects Linear and Quadratic Functions 2.1 Properties of Linear Functions and Linear Models 2.2 Building Linear Models from Data 2.3 Quadratic Functions and Their Zeros 2.4 Properties of Quadratic Functions 2.5 Inequalities Involving Quadratic Functions 2.6 Building Quadratic Models from Verbal Descriptions and from Data 2.7 Complex Zeros of a Quadratic Function 2.8 Equations and Inequalities Involving the Absolute Value Function Chapter Review Chapter Test Cumulative Review Chapter Projects Polynomial and Rational Functions 3.1 Polynomial Functions and Models 3.2 The Real Zeros of a Polynomial Function 3.3 Complex Zeros; Fundamental Theorem of Algebra 3.4 Properties of Rational Functions 3.5 The Graph of a Rational Function 3.6 Polynomial and Rational Inequalities Chapter Review Chapter Test Cumulative Review Chapter Projects Exponential and Logarithmic Functions 4.1 Composite Functions 4.2 One-to-One Functions; Inverse Functions 4.3 Exponential Functions 4.4 Logarithmic Functions 4.5 Properties of Logarithms 4.6 Logarithmic and Exponential Equations 4.7 Financial Models 4.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models 4.9 Building Exponential, Logarithmic, and Logistic Models from Data Chapter Review Chapter Test Cumulative Review Chapter Projects Trigonometric Functions 5.1 Angles and Their Measure 5.2 Trigonometric Functions: Unit Circle Approach 5.3 Properties of the Trigonometric Functions 5.4 Graphs of the Sine and Cosine Functions 5.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions 5.6 Phase Shift; Sinusoidal Curve Fitting Chapter Review Chapter Test Cumulative Review Chapter Projects Analytic Trigonometry 6.1 The Inverse Sine, Cosine, and Tangent Functions 6.2 The Inverse Trigonometric Functions (Continued) 6.3 Trigonometric Equations 6.4 Trigonometric Identities 6.5 Sum and Difference Formulas 6.6 Double-angle and Half-angle Formulas 6.7 Product-to-Sum and Sum-to-Product Formulas Chapter Review Chapter Test Cumulative Review Chapter Projects Applications of Trigonometric Functions 7.1 Right Triangle Trigonometry; Applications 7.2 The Law of Sines 7.3 The Law of Cosines 7.4 Area of a Triangle 7.5 Simple Harmonic Motion; Damped Motion; Combining Waves Chapter Review Chapter Test Cumulative Review Chapter Projects Polar Coordinates; Vectors 8.1 Polar Coordinates 8.2 Polar Equations and Graphs 8.3 The Complex Plane; De Moivre’s Theorem 8.4 Vectors 8.5 The Dot Product 8.6 Vectors in Space 8.7 The Cross Product Chapter Review Chapter Test Cumulative Review Chapter Projects Analytic Geometry 9.1 Conics 9.2 The Parabola 9.3 The Ellipse 9.4 The Hyperbola 9.5 Rotation of Axes; General Form of a Conic 9.6 Polar Equations of Conics 9.7 Plane Curves and Parametric Equations Chapter Review Chapter Test Cumulative Review Chapter Projects Systems of Equations and Inequalities 10.1 Systems of Linear Equations: Substitution and Elimination 10.2 Systems of Linear Equations: Matrices 10.3 Systems of Linear Equations: Determinants 10.4 Matrix Algebra 10.5 Partial Fraction Decomposition 10.6 Systems of Nonlinear Equations 10.7 Systems of Inequalities 10.8 Linear Programming Chapter Review Chapter Test Cumulative Review Chapter Projects Sequences; Induction; the Binomial Theorem 11.1 Sequences 11.2 Arithmetic Sequences 11.3 Geometric Sequences; Geometric Series 11.4 Mathematical Induction 11.5 The Binomial Theorem Chapter Review Chapter Test Cumulative Review Chapter Projects Counting and Probability 12.1 Counting 12.2 Permutations and Combinations 12.3 Probability Chapter Review Chapter Test Cumulative Review Chapter Projects A Preview of Calculus: The Limit, Derivative, and Integral of a Function 13.1 Finding Limits Using Tables and Graphs 13.2 Algebra Techniques for Finding Limits 13.3 One-sided Limits; Continuous Functions 13.4 The Tangent Problem; The Derivative 13.5 The Area Problem; The Integral Chapter Review Chapter Test Chapter Projects Appendix A: Review A.1 Algebra Essentials A.2 Geometry Essentials A.3 Polynomials A.4 Factoring Polynomials A.5 Synthetic Division A.6 Rational Expressions A.7 nth Roots; Rational Exponents A.8 Solving Equations A.9 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications A.10 Interval Notation; Solving Inequalities A.11 Complex Numbers Appendix B: Graphing Utilities B.1 The Viewing Rectangle B.2 Using a Graphing Utility to Graph Equations B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry B.4 Using a Graphing Utility to Solve Equations B.5 Square Screens B.6 Using a Graphing Utility to Graph Inequalities B.7 Using a Graphing Utility to Solve Systems of Linear Equations B.8 Using a Graphing Utility to Graph a Polar Equation B.9 Using a Graphing Utility to Graph Parametric Equations Answers Photo Credits Index

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Author Information

Michael Sullivan, Emeritus Professor of Mathematics at Chicago State University, received a Ph.D. in mathematics from the Illinois Institute of Technology. Mike taught at Chicago State for 35 years before retiring recently. He is a native of Chicago’s South Side and divides his time between Oak Lawn, Illinois, and Naples, Florida. Mike is a member of the American Mathematical Society and the Mathematical Association of America. He is a past president of the Text and Academic Authors Association and is currently Treasurer of its Foundation. He is a member of the TAA Council of Fellows, and was awarded the TAA Mike Keedy award in 1997 and the Lifetime Achievement Award in 2007. In addition, he represents TAA on the Authors Coalition of America. Mike has been writing textbooks for more than 35 years and currently has 15 books in print, 12 with Pearson Education. When not writing, he enjoys tennis, golf, gardening, and travel. Mike has four children: Kathleen teaches college mathematics; Michael III teaches college mathematics and is his co-author on two precalculus series; Dan works in publishing; and Colleen teaches middle school and secondary school mathematics. Twelve grandchildren round out the family. Mike Sullivan, III s a full-time professor at Joliet Jr. College with training in mathematics, statistics, and economics. Built from experience in the classroom using feedback from his students Mike has numerous Pearson textbooks in publication including a Developmental Math series and two Precalculus series and a statistics series. When not in the classroom or writing, you’ll find Mike trying to sneak in a round of golf if the schedules of his three children: Michael, Kevin, and Marissa allow it. Which might be a little easier now that Michael and Kevin are both in college.

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