Precalculus, Global Edition

About our author Robert F. Blitzer is a native of Manhattan.  He received a Bachelor of Arts degree with dual majors in mathematics and psychology (and a minor in English literature) from the City College of New York. His unique combination of academic interests led him toward a Master of Arts in mathematics from the University of Miami and a doctorate in behavioral sciences from Nova University. Bob's love for teaching mathematics was nourished for nearly 30 years at Miami Dade College, where he received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College and an endowed chair based on excellence in the classroom. In addition to Precalculus, Bob has written textbooks covering developmental mathematics, introductory algebra, intermediate algebra, trigonometry, college algebra, algebra & trigonometry, and liberal arts mathematics, all published by Pearson. When not secluded in his Northern California writer's cabin, Bob can be found hiking the beaches and trails of Point Reyes National Seashore and tending to the chores required by his beloved entourage of horses, chickens, and irritable roosters.

• P. Prerequisites: Fundamental Concepts of Algebra P.1 Algebraic Expressions, Mathematical Models, and Real NumbersP.2 Exponents and Scientific NotationP.3 Radicals and Rational ExponentsP.4 PolynomialsP.5 Factoring PolynomialsP.6 Rational ExpressionsP.7 EquationsP.8 Modeling with EquationsP.9 Linear Inequalities and Absolute Value InequalitiesSummary, Review, and TestReview ExercisesChapter P Test1. Functions and Graphs 1.1 Graphs and Graphing Utilities1.2 Basics of Functions and Their Graphs1.3 More on Functions and Their Graphs1.4 Linear Functions and Slope1.5 More on Slope1.6 Transformations of Functions1.7 Combinations of Functions; Composite Functions1.8 Inverse Functions1.9 Distance and Midpoint Formulas; Circles1.10 Modeling with FunctionsSummary, Review, and TestReview ExercisesChapter 1 Test2. Polynomial and Rational Functions 2.1 Complex Numbers2.2 Quadratic Functions2.3 Polynomial Functions and Their Graphs2.4 Dividing Polynomials; Remainder and Factor Theorems2.5 Zeros of Polynomial Functions2.6 Rational Functions and Their Graphs2.7 Polynomial and Rational Inequalities2.8 Modeling Using VariationSummary, Review, and TestReview ExercisesChapter 2 TestCumulative Review Exercises (Chapters P–2)3. Exponential and Logarithmic Functions 3.1 Exponential Functions3.2 Logarithmic Functions3.3 Properties of Logarithms3.4 Exponential and Logarithmic Equations3.5 Exponential Growth and Decay; Modeling DataSummary, Review, and TestReview ExercisesChapter 3 TestCumulative Review Exercises (Chapters P–3)4. Trigonometric Functions 4.1 Angles and Radian Measure4.2 Trigonometric Functions: The Unit Circle4.3 Right Triangle Trigonometry4.4 Trigonometric Functions of Any Angle4.5 Graphs of Sine and Cosine Functions4.6 Graphs of Other Trigonometric Functions4.7 Inverse Trigonometric Functions4.8 Applications of Trigonometric FunctionsSummary, Review, and TestReview ExercisesChapter 4 TestCumulative Review Exercises (Chapters P–4)5. Analytic Trigonometry 5.1 Verifying Trigonometric Identities5.2 Sum and Difference Formulas5.3 Double-Angle, Power-Reducing, and Half-Angle Formulas5.4 Product-to-Sum and Sum-to-Product Formulas5.5 Trigonometric EquationsSummary, Review, and TestReview ExercisesChapter 5 TestCumulative Review Exercises (Chapters P–5)6. Additional Topics in Trigonometry 6.1 The Law of Sines6.2 The Law of Cosines6.3 Polar Coordinates6.4 Graphs of Polar Equations6.5 Complex Numbers in Polar Form; DeMoivre's Theorem6.6 Vectors6.7 The Dot ProductSummary, Review, and TestReview ExercisesChapter 6 TestCumulative Review Exercises (Chapters P–6)7. Systems of Equations and Inequalities 7.1 Systems of Linear Equations in Two Variables7.2 Systems of Linear Equations in Three Variables7.3 Partial Fractions7.4 Systems of Nonlinear Equations in Two Variables7.5 Systems of Inequalities7.6 Linear ProgrammingSummary, Review, and TestReview ExercisesChapter 7 TestCumulative Review Exercises (Chapters P–7)8. Matrices and Determinants 8.1 Matrix Solutions to Linear Systems8.2 Inconsistent and Dependent Systems and Their Applications8.3 Matrix Operations and Their Applications8.4 Multiplicative Inverses of Matrices and Matrix Equations8.5 Determinants and Cramer's RuleSummary, Review, and TestReview ExercisesChapter 8 TestCumulative Review Exercises (Chapters P–8)9. Conic Sections and Analytic Geometry 9.1 The Ellipse9.2 The Hyperbola9.3 The Parabola9.4 Rotation of Axes9.5 Parametric Equations9.6 Conic Sections in Polar CoordinatesSummary, Review, and TestReview ExercisesChapter 9 TestCumulative Review Exercises (Chapters P–9)10. Sequences, Induction, and Probability 10.1 Sequences and Summation Notation10.2 Arithmetic Sequences10.3 Geometric Sequences and Series10.4 Mathematical Induction10.5 The Binomial Theorem10.6 Counting Principles, Permutations, and Combinations10.7 ProbabilitySummary, Review, and TestReview ExercisesChapter 10 TestCumulative Review Exercises (Chapters P–10)11. Introduction to Calculus 11.1 Finding Limits Using Tables and Graphs11.2 Finding Limits Using Properties of Limits11.3 Limits and Continuity11.4 Introduction to DerivativesSummary, Review, and TestReview ExercisesChapter 11 TestCumulative Review Exercises (Chapters P–11) Appendix A: Where Did That Come From? Selected ProofsAppendix B: The Transition from Precalculus to CalculusAnswers to Selected ExercisesSubject IndexCredits