Algebra and Trigonometry with Analytical Geometry 13th edition

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• Chapter 1: Fundamental Concepts of Algebra
  • 1.1: Real Numbers
  • 1.2: Exponents and Radicals
  • 1.3: Algebraic Expressions
  • 1.4: Fractional Expressions
  
  
• Chapter 2: Equations and Inequalities
  • 2.1: Equations
  • 2.2: Applied Problems
  • 2.3: Quadratic Equations
  • 2.4: Complex Numbers
  • 2.5: Other Types of Equations
  • 2.6: Inequalities
  • 2.7: More on Inequalities
  
  
• Chapter 3: Functions and Graphs
  • 3.1: Rectangular Coordinate Systems
  • 3.2: Graphs of Equations
  • 3.3: Lines
  • 3.4: Definition of Function
  • 3.5: Graphs of Functions
  • 3.6: Quadratic Functions
  • 3.7: Operations on Functions
  
  
• Chapter 4: Polynomial and Rational Functions
  • 4.1: Polynomial Functions of Degree Greater Than 2
  • 4.2: Properties of Division
  • 4.3: Zeros of Polynomials
  • 4.4: Complex and Rational Zeros of Polynomials
  • 4.5: Rational Functions
  • 4.6: Variation
  
  
• Chapter 5: Inverse, Exponential, and Logarithmic Functions
  • 5.1: Inverse Functions
  • 5.2: Exponential Functions
  • 5.3: The Natural Exponential Function
  • 5.4: Logarithmic Functions
  • 5.5: Properties of Logarithms
  • 5.6: Exponential and Logarithmic Equations
  
  
• Chapter 6: The Trigonometric Functions
  • 6.1: Angles
  • 6.2: Trigonometric Functions of Angles
  • 6.3: Trigonometric Functions of Real Numbers
  • 6.4: Values of the Trigonometric Functions
  • 6.5: Trigonometric Graphs
  • 6.6: Additional Trigonometric Graphs
  • 6.7: Applied Problems
  
  
• Chapter 7: Analytic Trigonometry
  • 7.1: Verifying Trigonometric Identities
  • 7.2:Trigonometric Equations
  • 7.3: The Addition and Subtraction Formulas
  • 7.4: Multiple-Angle Formulas
  • 7.5: Product-to-Sum and Sum-to-Product Formulas
  • 7.6: The Inverse Trigonometric Functions
  
  
• Chapter 8: Applications of Trigonometry
  • 8.1: The Law of Sines
  • 8.2: The Law of Cosines
  • 8.3: Vectors
  • 8.4: The Dot Product
  • 8.5: Trigonometric Form for Complex Numbers
  • 8.6: De Moivre's Theorem and nth Roots of Complex Numbers
  
  
• Chapter 9: Systems of Equations and Inequalities
  • 9.1: Systems of Equations
  • 9.2: Systems of Linear Equations in Two Variables
  • 9.3: Systems of Inequalities
  • 9.4: Linear Programming
  • 9.5: Systems of Linear Equations in More Than Two Variables
  • 9.6: The Algebra of Matrices
  • 9.7: The Inverse of a Matrix
  • 9.8: Determinants
  • 9.9: Properties of Determinants
  • 9.10: Partial Fractions
  
  
• Chapter 10: Sequences, Series, and Probability
  • 10.1: Infinite Sequences and Summation Notation
  • 10.2: Arithmetic Sequences
  • 10.3: Geometric Sequences
  • 10.4: Mathematical Induction
  • 10.5: The Binomial Theorem
  • 10.6: Permutations
  • 10.7: Distinguishable Permutations and Combinations
  • 10.8: Probability
  
  
• Chapter 11: Topics from Analytic Geometry
  • 11.1: Parabolas
  • 11.2: Ellipses
  • 11.3: Hyperbolas
  • 11.4: Plane Curves and Parametric Equations
  • 11.5: Polar Coordinates
  • 11.6: Polar Equations of Conics