Precalculus 7th edition

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• Chapter 1: Fundamentals
  • 1.1: Sets of Real Numbers
  • 1.2: Absolute Value
  • 1.3: Solving Equations (Review and Preview)
  • 1.4: Rectangular Coordinates. Visualizing Data
  • 1.5: Graphs and Graphing Utilities
  • 1.6: Equations of Lines
  • 1.7: Symmetry and Graphs. Circles
  
  
• Chapter 2: Equations and Inequalities
  • 2.1: Quadratic Equations: Theory and Examples
  • 2.2: Other Types of Equations
  • 2.3: Inequalities
  • 2.4: More on Inequalities
  
  
• Chapter 3: Functions
  • 3.1: The Definition of a Function
  • 3.2: The Graph of a Function
  • 3.3: Shapes of Graphs. Average Rate of Change
  • 3.4: Techniques in Graphing
  • 3.5: Methods of Combining Functions. Iteration
  • 3.6: Inverse Functions
  
  
• Chapter 4: Polynomial and Rational Functions. Applications to Optimization
  • 4.1: Linear Functions
  • 4.2: Quadratic Functions
  • 4.3: Using Iteration to Model Population Growth
  • 4.4: Setting Up Equations That Define Functions
  • 4.5: Maximum and Minimum Problems
  • 4.6: Polynomial Functions
  • 4.7: Rational Functions
  
  
• Chapter 5: Exponential and Logarithmic Functions
  • 5.1: Exponential Functions
  • 5.2: The Exponential Function y = e^x
  • 5.3: Logarithmic Functions
  • 5.4: Properties of Logarithms
  • 5.5: Equations and Inequalities with Logs and Exponents
  • 5.6: Compound Interest
  • 5.7: Exponential Growth and Decay
  
  
• Chapter 6: An Introduction to Trigonometry via Right Triangles
  • 6.1: Trigonometric Functions of Acute Angles
  • 6.2: Right-Triangle Applications
  • 6.3: Trigonometric Functions of Angles
  • 6.4: Trigonometric Identities
  
  
• Chapter 7: The Trigonometric Functions
  • 7.1: Radian Measure
  • 7.2: Trigonometric Functions of Angles
  • 7.3: Evaluating the Trigonometric Functions
  • 7.4: Algebra and the Trigonometric Functions
  • 7.5: Right-Triangle Trigonometry
  
  
• Chapter 8: Graphs of the Trigonometric Functions
  • 8.1: Trigonometric Functions of Real Numbers
  • 8.2: Graphs of the Sine and Cosine Functions
  • 8.3: Graphs of y = A sin(Bx - C) and y = A cos(Bx - C)
  • 8.4: Simple Harmonic Motion
  • 8.5: Graphs of the Tangent and the Reciprocal Functions
  
  
• Chapter 9: Analytical Trigonometry
  • 9.1: The Addition Formulas
  • 9.2: The Double-Angle Formulas
  • 9.3: The Product-to-Sum and Sum-to-Product Formulas
  • 9.4: Trigonometric Equations
  • 9.5: The Inverse Trigonometric Functions
  
  
• Chapter 10: Additional Topics in Trigonometry
  • 10.1: Right-Triangle Applications
  • 10.2: The Law of Sines and the Law of Cosines
  • 10.3: Vectors in the Plane: A Geometric Approach
  • 10.4: Vectors in the Plane: An Algebraic Approach
  • 10.5: Parametric Equations
  • 10.6: Introduction to Polar Coordinates
  • 10.7: Curves in Polar Coordinates
  • 10.8: Demoivre's Theorem
  
  
• Chapter 11: Systems of Equations
  • 11.1: Systems of Two Linear Equations in Two Unknowns
  • 11.2: Gaussian Elimination
  • 11.3: Matrices
  • 11.4: The Inverse of a Square Matrix
  • 11.5: Determinants and Cramer's Rule
  • 11.6: Nonlinear Systems of Equations
  • 11.7: Systems of Inequalities
  
  
• Chapter 12: The Conic Sections
  • 12.1: The Basic Equations
  • 12.2: The Parabola
  • 12.3: Tangents to Parabolas
  • 12.4: The Ellipse
  • 12.5: The Hyperbola
  • 12.6: The Focus-Directrix Property of Conics
  • 12.7: The Conics in Polar Coordinates
  • 12.8: Rotation of Axes
  
  
• Chapter 13: Roots of Polynomial Equations
  • 13.1: Division of Polynomials
  • 13.2: The Remainder Theorem and the Factor Theorem
  • 13.3: The Fundamental Theorem of Algebra
  • 13.4: Rational and Irrational Roots
  • 13.5: Conjugate Roots and Descartes' Rule of Signs
  • 13.6: Introduction to Partial Fractions
  • 13.7: More About Partial Fractions
  
  
• Chapter 14: Additional Topics in Algebra
  • 14.1: Mathematical Induction
  • 14.2: The Binomial Theorem
  • 14.3: Introduction to Sequences and Series
  • 14.4: Arithmetic Sequences and Series
  • 14.5: Geometric Sequences and Series
  • 14.6: An Introduction to Limits
  
  
• Chapter A: Appendix A
  • A.1: Significant Digits
  • A.2: √ 2 Is Irrational
  • A.3: The Complex Number System
  
  
• Chapter B: Appendix B
  • B.1: Review of Integer Exponents
  • B.2: Review of nth Roots
  • B.3: Review of Rational Exponents
  • B.4: Review of Factoring
  • B.5: Review of Fractional Expressions
  • B.6: Properties of the Real Numbers