Precalculus, Global Edition

Mike Sullivan recently retired as Professor of Mathematics at Chicago State University, having taught there for more than 30 years. He received his PhD in mathematics from Illinois Institute of Technology. He is a native of Chicago's South Side and currently resides in Oak Lawn, Illinois. 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. His son, Mike Sullivan III co-authored the Sullivan Graphing with Data Analysis series as well as this series. Mike has authored or co-authored more than 10 books. He owns a travel agency, and splits his time between a condo in Naples, Florida, and a home in Oak Lawn, where he enjoys gardening.Mike Sullivan III is 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. He 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.

• 1. Graphs 1.1 The Distance and Midpoint Formulas1.2 Graphs of Equations in Two Variables; Intercepts; Symmetry1.3 Lines1.4 CirclesChapter 1 Review, Test, and Projects2. Functions 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 FunctionsChapter 2 Review, Test, and Projects3. Linear 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 FunctionsChapter 3 Review, Test, and Projects4. Polynomial and Rational Functions 4.1 Polynomial Functions4.2 Graphing Polynomial Functions; Models4.3 Properties of Rational Functions4.4 The Graph of a Rational Function4.5 Polynomial and Rational Inequalities4.6 The Real Zeros of a Polynomial FunctionChapter 4 Review, Test, and Projects5. Exponential 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 DataChapter 5 Review, Test, and Projects6. Trigonometric Functions 6.1 Angles, Arc, Length, and Circular Motion6.2 Trigonometric Functions: 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 FittingChapter 6 Review, Test, and Projects7. Analytic 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 FormulasChapter 7 Review, Test, and Projects8. Applications 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 WavesChapter 8 Review, Test, and Projects9. Polar Coordinates; Vectors 9.1 Polar Coordinates9.2 Polar Equations and Graphs9.3 The Complex Plane; De Moivre's Theorem9.4 Vectors9.5 The Dot Product9.6 Vectors in Space9.7 The Cross ProductChapter 9 Review, Test, and Projects10. Analytic 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 EquationsChapter 10 Review, Test, and Projects11. Systems 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 ProgrammingChapter 11 Review, Test, and Projects12. Sequences; Induction; the Binomial Theorem 12.1 Sequences12.2 Arithmetic Sequences12.3 Geometric Sequences; Geometric Series12.4 Mathematical Induction12.5 The Binomial TheoremChapter 12 Review, Test, and Projects13. Counting and Probability 13.1 Counting13.2 Permutations and Combinations13.3 ProbabilityChapter 13 Review, Test, and Projects14. A Preview of Calculus: The Limit, Derivative, and Integral of a Function 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 IntegralChapter 14 Review, Test, and ProjectsAppendix A: Review A.1 Algebra EssentialsA.2 Geometry EssentialsA.3 PolynomialsA.4 Synthetic DivisionA.5 Rational ExpressionsA.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: Graphing Utilities B.1 The Viewing RectangleB.2 Using a Graphing Utility to Graph EquationsB.3 Using a Graphing Utility to Locate Intercepts and Check for SymmetryB.4 Using a Graphing Utility to Solve EquationsB.5 Square ScreensB.6 Using a Graphing Utility to Graph InequalitiesB.7 Using a Graphing Utility to Solve Systems of Linear EquationsB.8 Using a Graphing Utility to Graph a Polar EquationB.9 Using a Graphing Utility to Graph Parametric EquationsAnswers Credits Index