Precalculus: Mathematics for Calculus 7th edition

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• Chapter 1: Fundamentals
  • 1.1: Real Numbers
  • 1.2: Exponents and Radicals
  • 1.3: Algebraic Expressions
  • 1.4: Rational Expressions
  • 1.5: Equations
  • 1.6: Complex Numbers
  • 1.7: Modeling with Equations
  • 1.8: Inequalities
  • 1.9: The Coordinate Plane; Graphs of Equations; Circles
  • 1.10: Lines
  • 1.11: Solving Equations and Inequalities Graphically
  • 1.12: Modeling Variation
  • 1: Chapter Review
  • 1: Chapter Test
  • 1: Focus on Modeling
  
  
• Chapter 2: Functions
  • 2.1: Functions
  • 2.2: Graphs of Functions
  • 2.3: Getting Information from the Graph of a Function
  • 2.4: Average Rate of Change of a Function
  • 2.5: Linear Functions and Models
  • 2.6: Transformations of Functions
  • 2.7: Combining Functions
  • 2.8: One-to-One Functions and Their Inverses
  • 2: Chapter Review
  • 2: Chapter Test
  • 2: Focus on Modeling
  
  
• Chapter 3: Polynomial and Rational Functions
  • 3.1: Quadratic Functions and Models
  • 3.2: Polynomial Functions and Their Graphs
  • 3.3: Dividing Polynomials
  • 3.4: Real Zeros of Polynomials
  • 3.5: Complex Zeros and the Fundamental Theorem of Algebra
  • 3.6: Rational Functions
  • 3.7: Polynomial and Rational Inequalities
  • 3: Chapter Review
  • 3: Chapter Test
  • 3: Focus on Modeling
  
  
• Chapter 4: Exponential and Logarithmic Functions
  • 4.1: Exponential Functions
  • 4.2: The Natural Exponential Function
  • 4.3: Logarithmic Functions
  • 4.4: Laws of Logarithms
  • 4.5: Exponential and Logarithmic Equations
  • 4.6: Modeling with Exponential Functions
  • 4.7: Logarithmic Scales
  • 4: Chapter Review
  • 4: Chapter Test
  • 4: Focus on Modeling
  • 4: Cumulative Review Test
  
  
• Chapter 5: Trigonometric Functions: Unit Circle Approach
  • 5.1: The Unit Circle
  • 5.2: Trigonometric Functions of Real Numbers
  • 5.3: Trigonometric Graphs
  • 5.4: More Trigonometric Graphs
  • 5.5: Inverse Trigonometric Functions and Their Graphs
  • 5.6: Modeling Harmonic Motion
  • 5: Chapter Review
  • 5: Chapter Test
  • 5: Focus on Modeling
  
  
• Chapter 6: Trigonometric Functions: Right Triangle Approach
  • 6.1: Angle Measure
  • 6.2: Trigonometry of Right Triangles
  • 6.3: Trigonometric Functions of Angles
  • 6.4: Inverse Trigonometric Functions and Right Triangles
  • 6.5: The Law of Sines
  • 6.6: The Law of Cosines
  • 6: Chapter Review
  • 6: Chapter Test
  • 6: Focus on Modeling
  
  
• Chapter 7: Analytic Trigonometry
  • 7.1: Trigonometric Identities
  • 7.2: Addition and Subtraction Formulas
  • 7.3: Double-Angle, Half-Angle, and Product-Sum Formulas
  • 7.4: Basic Trigonometric Equations
  • 7.5: More Trigonometric Equations
  • 7: Chapter Review
  • 7: Chapter Test
  • 7: Focus on Modeling
  • 7: Cumulative Review Test
  
  
• Chapter 8: Polar Coordinates and Parametric Equations
  • 8.1: Polar Coordinates
  • 8.2: Graphs of Polar Equations
  • 8.3: Polar Form of Complex Numbers; De Moivre's Theorem
  • 8.4: Plane Curves and Parametric Equations
  • 8: Chapter Review
  • 8: Chapter Test
  • 8: Focus on Modeling
  
  
• Chapter 9: Vectors in Two and Three Dimensions
  • 9.1: Vectors in Two Dimensions
  • 9.2: The Dot Product
  • 9.3: Three-Dimensional Coordinate Geometry
  • 9.4: Vectors in Three Dimensions
  • 9.5: The Cross Product
  • 9.6: Equations of Lines and Planes
  • 9: Chapter Review
  • 9: Chapter Test
  • 9: Focus on Modeling
  • 9: Cumulative Review Test
  
  
• Chapter 10: Systems of Equations and Inequalities
  • 10.1: Systems of Linear Equations in Two Variables
  • 10.2: Systems of Linear Equations in Several Variables
  • 10.3: Matrices and Systems of Linear Equations
  • 10.4: The Algebra of Matrices
  • 10.5: Inverses of Matrices and Matrix Equations
  • 10.6: Determinants and Cramer's Rule
  • 10.7: Partial Fractions
  • 10.8: Systems of Nonlinear Equations
  • 10.9: Systems of Inequalities
  • 10: Chapter Review
  • 10: Chapter Test
  • 10: Focus on Modeling
  
  
• Chapter 11: Conic Sections
  • 11.1: Parabolas
  • 11.2: Ellipses
  • 11.3: Hyperbolas
  • 11.4: Shifted Conics
  • 11.5: Rotation of Axes
  • 11.6: Polar Equations of Conics
  • 11: Chapter Review
  • 11: Chapter Test
  • 11: Focus on Modeling
  • 11: Cumulative Review Test
  
  
• Chapter 12: Sequences and Series
  • 12.1: Sequences and Summation Notation
  • 12.2: Arithmetic Sequences
  • 12.3: Geometric Sequences
  • 12.4: Mathematics of Finance
  • 12.5: Mathematical Induction
  • 12.6: The Binomial Theorem
  • 12: Chapter Review
  • 12: Chapter Test
  • 12: Focus on Modeling
  
  
• Chapter 13: Limits: A Preview of Calculus
  • 13.1: Finding Limits Numerically and Graphically
  • 13.2: Finding Limits Algebraically
  • 13.3: Tangent Lines and Derivatives
  • 13.4: Limits at Infinity; Limits of Sequences
  • 13.5: Areas
  • 13: Chapter Review
  • 13: Chapter Test
  • 13: Focus on Modeling
  • 13: Cumulative Review Test
  
  
• Chapter 14: Probability and Statistics
  • 14.1: Counting
  • 14.2: Probability
  • 14.3: Binomial Probability
  • 14.4: Expected Value
  • 14.5: Descriptive Statistics (Numerical)
  • 14.6: Descriptive Statistics (Graphical)
  • 14.7: Introduction to Statistical Thinking
  • 14.8: Introduction to Inferential Statistics
  • 14: Chapter Review
  • 14: Chapter Test
  • 14: Focus on Modeling