PreCalculus 3rd edition

Access is contingent on use of this textbook in the instructor's classroom.

• Chapter 0: Prerequisites
  • 0.1: Basic Set Theory and Interval Notation
  • 0.2: Real Number Arithmetic
  • 0.3: Linear Equations and Inequalities
  • 0.4: Absolute Value Equations and Inequalities
  • 0.5: Polynomial Arithmetic
  • 0.6: Factoring
  • 0.7: Quadratic Equations
  • 0.8: Rational Expressions and Equations
  • 0.9: Radicals and Equations
  • 0.10: Complex Numbers
  
  
• Chapter 1: Relations and Functions
  • 1.1: Set of Real Numbers and The Cartesian Coordinate Plane
  • 1.2: Relations
  • 1.3: Introduction to Functions
  • 1.4: Function Notation
  • 1.5: Function Arithmetic
  • 1.6: Graphs of Functions
  • 1.7: Transformations
  
  
• Chapter 2: Linear and Quadratic Functions
  • 2.1: Linear Functions
  • 2.2: Absolute Value Functions
  • 2.3: Quadratic Functions
  • 2.4: Inequalities with Absolute Value and Quadratic Functions
  • 2.5: Regression
  
  
• Chapter 3: Polynomial Functions
  • 3.1: Graphs of Polynomials
  • 3.2: The Factor Theorem and The Remainder Theorem
  • 3.3: Real Zeros of Polynomials
  • 3.4: Complex Zeros and the Fundamental Theorem of Algebra
  
  
• Chapter 4: Rational Functions
  • 4.1: Introduction to Rational Functions
  • 4.2: Graphs of Rational Functions
  • 4.3: Rational Inequalities and Applications
  
  
• Chapter 5: Further Topics in Functions
  • 5.1: Function Composition
  • 5.2: Inverse Functions
  • 5.3: Other Algebraic Functions
  
  
• Chapter 6: Exponential and Logarithmic Functions
  • 6.1: Introduction to Exponential and Logarithmic Functions
  • 6.2: Properties of Logarithms
  • 6.3: Exponential Equations and Inequalities
  • 6.4: Logarithmic Equations and Inequalities
  • 6.5: Applications of Exponential and Logarithmic Functions
  
  
• Chapter 7: Hooked on Conics
  • 7.1: Introduction to Conics
  • 7.2: Circles
  • 7.3: Parabolas
  • 7.4: Ellipses
  • 7.5: Hyperbolas
  
  
• Chapter 8: Systems of Equations and Matrices
  • 8.1: Systems of Linear Equations: Gaussian Elimination
  • 8.2: Systems of Linear Equations: Augmented Matrices
  • 8.3: Matrix Arithmetic
  • 8.4: Systems of Linear Equations: Matrix Inverses
  • 8.5: Determinants and Cramer's Rule
  • 8.6: Partial Fraction Decomposition
  • 8.7: Systems of Non-Linear Equations and Inequalities
  
  
• Chapter 9: Sequences and the Binomial Theorem
  • 9.1: Sequences
  • 9.2: Summation Notation
  • 9.3: Mathematical Induction
  • 9.4: The Binomial Theorem
  
  
• Chapter 10: Foundations of Trigonometry
  • 10.1: Angles and their Measure
  • 10.2: The Unit Circle: Cosine and Sine
  • 10.3: The Six Circular Functions and Fundamental Identities
  • 10.4: Trigonometric Identities
  • 10.5: Graphs of the Trigonometric Functions
  • 10.6: The Inverse Trigonometric Functions
  • 10.7: Trigonometric Equations and Inequalities
  
  
• Chapter 11: Applications of Trigonometry
  • 11.1: Applications of Sinusoids
  • 11.2: The Law of Sines
  • 11.3: The Law of Cosines
  • 11.4: Polar Coordinates
  • 11.5: Graphs of Polar Equations
  • 11.6: Hooked on Conics Again
  • 11.7: Polar Form of Complex Numbers
  • 11.8: Vectors
  • 11.9: The Dot Product and Projection
  • 11.10: Parametric Equations