Precalculus: Building Concepts and Connections 2e

• Preface to Instructors
• Study Skills   New
  • Study and Success Skills
  • Enrichment - Foundations Series
  • Advice from Video Tutors
  • Common Mistakes
• 1 - Algebra Review
  • Chapter Introduction
  • 1.1 - The Real Number System
  • 1.2 - Exponents, Roots, and Radicals
  • 1.3 - Polynomials and Factoring
  • 1.4 - Rational Expressions
  • 1.5 - Linear and Quadratic Equations
  • 1.6 - Linear Inequalities
  • 1.7 - Equations and Inequalities Involving Absolute Value
  • 1.8 - Other Types of Equations
  • Chapter Test & Summary
• 2 - Functions and Graphs
  • Chapter Introduction
  • 2.1 - The Coordinate System; Lines and Their Graphs
  • 2.2 - Coordinate Geometry, Circles, and Other Equations
  • 2.3 - Functions
  • 2.4 - Graphs of Functions
  • 2.5 - Analyzing the Graph of a Function
  • 2.6 - The Algebra of Functions
  • 2.7 - Transformations of the Graph of a Function
  • 2.8 - Linear Functions and Models; Variation
  • Chapter Test & Summary
• 3 - Polynomial and Rational Functions
  • Chapter Introduction
  • 3.1 - Quadratic Functions and Their Graphs
  • 3.2 - Polynomial Functions and Their Graphs
  • 3.3 - Division of Polynomials; the Remainder and Factor Theorems
  • 3.4 - Real Zeros of Polynomials; Solutions of Equations
  • 3.5 - Complex Numbers
  • 3.6 - The Fundamental Theorem of Algebra; Complex Zeros
  • 3.7 - Rational Functions
  • 3.8 - Quadratic, Polynomial, and Rational Inequalities
  • Chapter Test & Summary
• 4 - Exponential and Logarithmic Functions
  • Chapter Introduction
  • 4.1 - Inverse Functions
  • 4.2 - Exponential Function
  • 4.3 - Logarithmic Functions
  • 4.4 - Properties of Logarithms
  • 4.5 - Exponential and Logarithmic Equations
  • 4.6 - Exponential, Logistic, and Logarithmic Models
  • Chapter Test & Summary
• 5 - Trigonometric Functions
  • Chapter Introduction
  • 5.1 - Angles and Their Measure
  • 5.2 - Trigonometric Functions Using the Unit Circle
  • 5.3 - Right Triangle Trigonometry
  • 5.4 - Trigonometric Functions of Any Angle Using Right Triangles
  • 5.5 - Graphs of the Sine and Cosine Functions
  • 5.6 - Graphs of Other Trigonometric Functions
  • 5.7 - Inverse Trigonometric Functions
  • Chapter Test & Summary
• 6 - Trigonometric Identities and Equations
  • Chapter Introduction
  • 6.1 - Verifying Identities
  • 6.2 - Sum and Difference Identities
  • 6.3 - Multiple-Angle Identities; Sum and Product Identities
  • 6.4 - Trigonometric Equations
  • Chapter Test & Summary
• 7 - Additional Topics in Trigonometry
  • Chapter Introduction
  • 7.1 - The Law of Sines
  • 7.2 - The Law of Cosines
  • 7.3 - Polar Coordinates
  • 7.4 - Graphs of Polar Equations
  • 7.5 - Vectors
  • 7.6 - Dot Product of Vectors
  • 7.7 - Trigonometric Form of a Complex Number
  • Chapter Test & Summary
• 8 - Systems of Equations and Inequalities
  • Chapter Introduction
  • 8.1 - Systems of Linear Equations and Inequalities in Two Variables
  • 8.2 - Systems of Linear Equations in Three Variables
  • 8.3 - Solving Systems of Equations Using Matrices
  • 8.4 - Operations on Matrices
  • 8.5 - Matrices and Inverses
  • 8.6 - Determinants and Cramer's Rule
  • 8.7 - Partial Fractions
  • 8.8 - Systems of Nonlinear Equations
  • Chapter Test & Summary
• 9 - Conic Sections
  • Chapter Introduction
  • 9.1 - The Parabola
  • 9.2 - The Ellipse
  • 9.3 - The Hyperbola
  • 9.4 - Rotation of Axes; General Form of Conic Sections
  • 9.5 - Polar Equations of Conic Sections
  • 9.6 - Parametric Equations
  • Chapter Test & Summary
• 10 - More Topics in Algebra
  • Chapter Introduction
  • 10.1 - Sequences
  • 10.2 - Sums of Terms of Sequences
  • 10.3 - General Sequences and Series
  • 10.4 - Counting Methods
  • 10.5 - Probability
  • 10.6 - The Binomial Theorem
  • 10.7 - Mathematical Induction
  • Chapter Test & Summary
• Answers
• Index