Precalculus Book

Precalculus 7e CHAPTER R: BASIC ALGEBRAIC OPERATIONS R-1 Algebra and Real Numbers R-2 Exponents and Radicals R-3 Polynomials: Basic Operations and Factoring R-4 Rational Expressions: Basic Operations Chapter R Review CHAPTER 1: EQUATIONS AND INEQUALITIES 1-1 Linear Equations and Applications 1-2 Linear Inequalities 1-3 Absolute Value 1-4 Complex Numbers 1-5 Quadratic Equations and Applications 1-6 Equations Involving Radicals Chapter 1 Group Activity: Solving a Cubic Equation Chapter 1 Review CHAPTER 2: GRAPHS 2-1 Rectangular Coordinates 2-2 Distance in the Plane 2-3 Equations of a Line 2-4 Linear Equations and Models Chapter 2 Group Activity: Rates of Change Chapter 2 Review CHAPTER 3: FUNCTIONS 3-1 Functions 3-2 Graphing Functions 3-3 Transformations of Functions 3-3 Quadratic Functions 3-5 Combining Functions; Composition 3-6 Inverse Functions Chapter 3 Group Activity: Mathematical Modeling - Choosing a Long-Distance Calling Plan Chapter 3 Review 1, 2, & 3 Cumulative Review Exercises CHAPTER 4: POLYNOMIAL AND RATIONAL FUNCTIONS 4-1 Polynomial Functions And Models 4-2 Real Zeros and Polynomial Inequalities 4-3 Complex Zeros and Rational Zeros of Polynomials 4-4 Rational Functions and Inequalities 4-5 Variation and Modeling Chapter 4 Group Activity: Interpolating Polynomials Chapter 4 Review CHAPTER 5: EXPONENTIAL AND LOGARITHMIC FUNCTIONS 5-1 Exponential Functions 5-2 Exponential Models 5-3 Logarithmic Functions 5-4 Logarithmic Models 5-5 Exponential and Logarithmic Equations Chapter 5 Group Activity: Growth of Increasing Functions Chapter 5 Review 4 & 5 Cumulative Review Exercises CHAPTER 6: TRIGONOMETRIC FUNCTIONS 6-1 Angles and Their Measure 6-2 Trigonometric Functions: A Unit Circle Approach 6-3 Solving Right Triangles 6-4 Trigonometric Functions: Properties and Graphs 6-5 More General Trigonometric Functions 6-6 Inverse Trigonometric Functions Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer Chapter 6 Review CHAPTER 7: TRIGONOMETRIC IDENTITIES AND CONDITIONAL EQUATIONS 7-1 Basic Identities and Their Use 7-2 Sum, Difference, and Cofunction Identities 7-3 Double-Angle and Half-Angle Identities 7-4 Product-Sum and Sum-Product Identities 7-5 Trigonometric Equations Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C) - A Harmonic Analysis Tool Chapter 7 Review CHAPTER 8: ADDITIONAL TOPICS IN TRIGONOMETRY 8-1 Law of Sines 8-2 Law of Cosines 8-3 Vectors in the Plane 8-4 Polar Coordinates and Graphs 8-5 Complex Numbers and De Moivre's Theorem Chapter 8 Group Activity: Conic Sections and Planetary Orbits Chapter 8 Review 6, 7, & 8 Cumulative Review Exercises CHAPTER 9: ADDITIONAL TOPICS IN ANALYTIC GEOMETRY 9-1 Conic Sections; Parabola 9-2 Ellipse 9-3 Hyperbola 9-4 Rotation of Axes Chapter 9 Group Activity: Focal Chords Chapter 9 Review CHAPTER 10: SYSTEMS OF EQUATIONS AND INEQUALITIES; MATRICES 10-1 Systems of Linear Equations 10-2 Solving Linear Systems Using Gauss-Jordan Elimination 10-3 Matrix Operations 10-4 Solving Linear Systems Using Inverse Matrices 10-5 Determinants and Cramer's Rule Chapter 10 Group Activity: Modeling with Systems of Linear Equations 10-6 Systems of Nonlinear Equations 10-7 Systems of Linear Inequalities 10-8 Linear Programming Chapter 10 Review CHAPTER 11: SEQUENCES AND SERIES 11-1 Sequences and Series 11-2 Mathematical Induction 11-3 Arithmetic and Geometric Sequences 11-4 Counting Techniques: Multiplication Principle, Permutations, and Combinations 11-5 Sample Spaces and Probability 11-6 Binomial Formula Chapter 11 Group Activity: Sequences Specified by Recursion Formulas Chapter 11 Review 9. 10, & 11 Cumulative Review Exercises CHAPTER 12: LIMITS: AN INTRODUCTION TO CALCULUS 12-1 Introduction to Limits 12-2 Computing Limits Algebraically 12-3 Limits at Infinity 12-4 The Derivative 12-5 Area and Calculus Chapter 12 Group Activity: Derivatives of Exponential and Log Functions Chapter 12 Review APPENDIX A: SPECIAL TOPICS A-1 Scientific Notation and Significant Digits A-2 Partial Fractions A-3 Parametric Equations APPENDIX B B-1 Geometric Formulas