Precalculus Enhanced with Graphing Utilities -- ACCUMULATOR

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 recently retiring. 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. He 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 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 Graphs 1.1 Graphing Utilities; Introduction to Graphing Equations1.2 The Distance and Midpoint Formulas1.3 Intercepts; Symmetry; Graphing Key Equations1.4 Solving Equations Using a Graphing Utility1.5 Lines1.6 Circles Chapter ReviewChapter TestChapter ProjectFunctions and Their Graphs 2.1 Functions2.2 The Graph of a Function2.3 Properties of Functions2.4 Library of Functions; Piecewise-defined Functions2.5 Graphing Techniques: Transformations2.6 Mathematical Models: Building Functions Chapter ReviewChapter TestCumulative ReviewChapter ProjectsLinear and Quadratic Functions 3.1 Properties of Linear Functions and Linear Models3.2 Building Linear Models from Data3.3 Quadratic Functions and Their Properties3.4 Build Quadratic Models from Verbal Descriptions and From Data3.5 Inequalities Involving Quadratic Functions Chapter ReviewChapter TestCumulative ReviewChapter ProjectsPolynomial and Rational Functions 4.1 Polynomial Functions and Models4.2 The Graph of a Polynomial Function and Models4.3 The Real Zeros of a Polynomial Function4.4 Complex Zeros; Fundamental Theorem of Algebra4.5 Properties of Rational Functions4.6 The Graph of a Rational Function4.7 Polynomial and Rational Inequalities Chapter ReviewChapter TestCumulative ReviewChapter ProjectsExponential and Logarithmic Functions 5.1 Composite Functions5.2 One-to-One Functions; Inverse Functions5.3 Exponential Functions5.4 Logarithmic Functions5.5 Properties of Logarithms5.6 Logarithmic and Exponential Equations5.7 Financial Models5.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models5.9 Building Exponential, Logarithmic, and Logistic Models from Data Chapter ReviewChapter TestCumulative ReviewChapter ProjectsTrigonometric Functions 6.1 Angles and Their Measure6.2 Trigonometric Functions: A Unit Circle Approach6.3 Properties of the Trigonometric Functions6.4 Graphs of the Sine and Cosine Functions6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions6.6 Phase Shift; Sinusoidal Curve Fitting Chapter ReviewChapter TestCumulative ReviewChapter ProjectsAnalytic Trigonometry 7.1 The Inverse Sine, Cosine, and Tangent Functions7.2 The Inverse Trigonometric Functions (Continued)7.3 Trigonometric Equations7.4 Trigonometric Identities7.5 Sum and Difference Formulas7.6 Double-angle and Half-angle Formulas7.7 Product-to-Sum and Sum-to-Product Formulas Chapter ReviewChapter TestCumulative ReviewChapter ProjectsApplications of Trigonometric Functions 8.1 Right Triangle Trigonometry; Applications8.2 The Law of Sines8.3 The Law of Cosines8.4 Area of a Triangle8.5 Simple Harmonic Motion; Damped Motion; Combining Waves Chapter ReviewChapter TestCumulative ReviewChapter ProjectsPolar Coordinates; Vectors 9.1 Polar Coordinates9.2 Polar Equations and Graphs9.3 The Complex Plane; DeMoivre’s Theorem9.4 Vectors9.5 The Dot Product9.6 Vectors in Space9.7 The Cross Product Chapter ReviewChapter TestCumulative ReviewChapter ProjectsAnalytic Geometry 10.1 Conics10.2 The Parabola10.3 The Ellipse10.4 The Hyperbola10.5 Rotation of Axes; General Form of a Conic10.6 Polar Equations of Conics10.7 Plane Curves and Parametric Equations Chapter ReviewChapter TestCumulative ReviewChapter ProjectsSystems of Equations and Inequalities 11.1 Systems of Linear Equations: Substitution and Elimination11.2 Systems of Linear Equations: Matrices11.3 Systems of Linear Equations: Determinants11.4 Matrix Algebra11.5 Partial Fraction Decomposition11.6 Systems of Nonlinear Equations11.7 Systems of Inequalities11.8 Linear Programming Chapter ReviewChapter TestCumulative ReviewChapter ProjectsSequences; Induction; The Binomial Theorem 12.1 Sequences12.2 Arithmetic Sequences12.3 Geometric Sequences; Geometric Series12.4 Mathematical Induction12.5 The Binomial Theorem Chapter ReviewChapter TestCumulative ReviewChapter ProjectsCounting and Probability 13.1 Counting13.2 Permutations and Combinations13.3 Probability Chapter ReviewChapter TestCumulative ReviewChapter ProjectsA Preview of Calculus: The Limit, Derivative, and Integral of a Fraction 14.1 Finding Limits Using Tables and Graphs14.2 Algebra Techniques for Finding Limits14.3 One-sided Limits; Continuous Functions14.4 The Tangent Problem; The Derivative14.5 The Area Problem; The Integral Chapter ReviewChapter TestCumulative ReviewChapter ProjectsAppendix A: Review A.1 Algebra EssentialsA.2 Geometry EssentialsA.3 PolynomialsA.4 Synthetic DivisionA.5 Rational ExpressoinsA.6 Solving EquationsA.7 Complex Numbers; Quadratic Equations in the Complex Number SystemA.8 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job ApplicationsA.9 Interval Notation; Solving InequalitiesA.10 nth Roots; Rational ExponentsAppendix B: The Limit of a Sequence; Infinite Series Answers Credits Subject Index