Description

Book Synopsis


Table of Contents
Table of Contents

  1. BASIC CONCEPTS OF ALGEBRA
    • P.1 The Real Numbers and Their Properties
    • P.2 Integer Exponents and Scientific Notation
    • P.3 Polynomials
    • P.4 Factoring Polynomials
    • P.5 Rational Expressions
    • P.6 Rational Exponents and Radicals
    • Chapter P Review and Tests
    • Review Exercises
    • Practice Test
  2. EQUATIONS AND INEQUALITIES
    • 1.1 Linear Equations in One Variable
    • 1.2 Applications of Linear Equations: Modeling
    • 1.3 Quadratic Equations
    • 1.4 Complex Numbers: Quadratic Equations with Complex Solutions
    • 1.5 Solving Other Types of Equations
    • 1.6 Inequalities
    • 1.7 Equations and Inequalities Involving Absolute Value
    • Chapter 1 Review and Tests
    • Review Exercises
    • Practice Test A
    • Practice Test B
  3. GRAPHS AND FUNCTIONS
    • 2.1 The Coordinate Plane
    • 2.2 Graphs of Equations
    • 2.3 Lines
    • 2.4 Functions
    • 2.5 Properties of Functions
    • 2.6 A Library of Functions
    • 2.7 Transformations of Functions
    • 2.8 Combining Functions; Composite Functions
    • 2.9 Inverse Functions
    • Chapter 2 Review and Tests
    • Review Exercises
    • Practice Test A
    • Practice Test B
    • Cumulative Review Exercises Chapters P—2
  4. POLYNOMIAL AND RATIONAL FUNCTIONS
    • 3.1 Quadratic Functions
    • 3.2 Polynomial Functions
    • 3.3 Dividing Polynomials
    • 3.4 The Real Zeros of a Polynomial Function
    • 3.5 The Complex Zeros of a Polynomial Function
    • 3.6 Rational Functions
    • 3.7 Variation
    • Chapter 3 Review and Tests
    • Review Exercises
    • Practice Test A
    • Practice Test B
    • Cumulative Review Exercises Chapters P—3
  5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
    • 4.1 Exponential Functions
    • 4.2 Logarithmic Functions
    • 4.3 Rules of Logarithms
    • 4.4 Exponential and Logarithmic Equations and Inequalities
    • 4.5 Logarithmic Scales; Modeling
    • Chapter 4 Review and Tests
    • Review Exercises
    • Practice Test A
    • Practice Test B
    • Cumulative Review Exercises Chapters P—4
  6. TRIGONOMETRIC FUNCTIONS
    • 5.1 Angles and Their Measure
    • 5.2 Right-Triangle Trigonometry
    • 5.3 Trigonometric Functions of Any Angle; The Unit Circle
    • 5.4 Graphs of the Sine and Cosine Functions
    • 5.5 Graphs of the Other Trigonometric Functions
    • 5.6 Inverse Trigonometric Functions
    • Chapter 5 Review and Tests
    • Review Exercises
    • Practice Test A
    • Practice Test B
    • Cumulative Review Exercises Chapters P—5
  7. TRIGONOMETRIC IDENTITIES AND EQUATIONS
    • 6.1 Trigonometric Identities
    • 6.2 Sum and Difference Formulas
    • 6.3 Double-Angle and Half-Angle Formulas
    • 6.4 Product-to-Sum and Sum-to-Product Formulas
    • 6.5 Trigonometric Equations I
    • 6.6 Trigonometric Equations II
    • Chapter 6 Review and Tests
    • Review Exercises
    • Practice Test A
    • Practice Test B
    • Cumulative Review Exercises Chapters P—6
  8. APPLICATIONS OF TRIGONOMETRIC FUNCTIONS
    • 7.1 The Law of Sines
    • 7.2 The Law of Cosines
    • 7.3 Areas of Polygons Using Trigonometry
    • 7.4 Vectors
    • 7.5 The Dot Product
    • 7.6 Polar Coordinates
    • 7.7 Polar Form of Complex Numbers; DeMoivre’s Theorem
    • Chapter 7 Review and Tests
    • Review Exercises
    • Practice Test A
    • Practice Test B
    • Cumulative Review Exercises Chapters P—7
  9. SYSTEMS OF EQUATIONS AND INEQUALITIES
    • 8.1 Systems of Linear Equations in Two Variables
    • 8.2 Systems of Linear Equations in Three Variables
    • 8.3 Partial-Fraction Decomposition
    • 8.4 Systems of Nonlinear Equations
    • 8.5 Systems of Inequalities
    • 8.6 Linear Programming
    • Chapter 8 Review and Tests
    • Review Exercises
    • Practice Test A
    • Practice Test B
    • Cumulative Review Exercises Chapters P—8
  10. MATRICES AND DETERMINANTS
    • 9.1 Matrices and Systems of Equations
    • 9.2 Matrix Algebra
    • 9.3 The Matrix Inverse
    • 9.4 Determinants and Cramer’s Rule
    • Chapter 9 Review and Tests
    • Review Exercises
    • Practice Test A
    • Practice Test B
    • Cumulative Review Exercises Chapters P—9
  11. CONIC SECTIONS
    • 10.1 Conic Sections: Overview
    • 10.2 The Parabola
    • 10.3 The Ellipse
    • 10.4 The Hyperbola
    • Chapter 10 Review and Tests
    • Review Exercises
    • Practice Test A
    • Practice Test B
    • Cumulative Review Exercises Chapters P—10
  12. FURTHER TOPICS IN ALGEBRA
    • 11.1 Sequences and Series
    • 11.2 Arithmetic Sequences; Partial Sums
    • 11.3 Geometric Sequences and Series
    • 11.4 Mathematical Induction
    • 11.5 The Binomial Theorem
    • 11.6 Counting Principles
    • 11.7 Probability
    • Chapter 11 Review and Tests
    • Review Exercises
    • Practice Test A
    • Practice Test B
    • Cumulative Review Exercises Chapters P—11
Answers to Selected Exercises Credits Index

College Algebra and Trigonometry

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    A Hardback by J. S. Ratti, Marcus McWaters, Leslaw Skrzypek

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      Book details

      Publisher Pearson Education (US)
      Published 10 January 2018
      ISBN-13 9780134696478
      978-0134696478
      ISBN-10 0134696476
      Also in:
      Algebra

      Description

      Book Synopsis


      Table of Contents
      Table of Contents

      1. BASIC CONCEPTS OF ALGEBRA
        • P.1 The Real Numbers and Their Properties
        • P.2 Integer Exponents and Scientific Notation
        • P.3 Polynomials
        • P.4 Factoring Polynomials
        • P.5 Rational Expressions
        • P.6 Rational Exponents and Radicals
        • Chapter P Review and Tests
        • Review Exercises
        • Practice Test
      2. EQUATIONS AND INEQUALITIES
        • 1.1 Linear Equations in One Variable
        • 1.2 Applications of Linear Equations: Modeling
        • 1.3 Quadratic Equations
        • 1.4 Complex Numbers: Quadratic Equations with Complex Solutions
        • 1.5 Solving Other Types of Equations
        • 1.6 Inequalities
        • 1.7 Equations and Inequalities Involving Absolute Value
        • Chapter 1 Review and Tests
        • Review Exercises
        • Practice Test A
        • Practice Test B
      3. GRAPHS AND FUNCTIONS
        • 2.1 The Coordinate Plane
        • 2.2 Graphs of Equations
        • 2.3 Lines
        • 2.4 Functions
        • 2.5 Properties of Functions
        • 2.6 A Library of Functions
        • 2.7 Transformations of Functions
        • 2.8 Combining Functions; Composite Functions
        • 2.9 Inverse Functions
        • Chapter 2 Review and Tests
        • Review Exercises
        • Practice Test A
        • Practice Test B
        • Cumulative Review Exercises Chapters P—2
      4. POLYNOMIAL AND RATIONAL FUNCTIONS
        • 3.1 Quadratic Functions
        • 3.2 Polynomial Functions
        • 3.3 Dividing Polynomials
        • 3.4 The Real Zeros of a Polynomial Function
        • 3.5 The Complex Zeros of a Polynomial Function
        • 3.6 Rational Functions
        • 3.7 Variation
        • Chapter 3 Review and Tests
        • Review Exercises
        • Practice Test A
        • Practice Test B
        • Cumulative Review Exercises Chapters P—3
      5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
        • 4.1 Exponential Functions
        • 4.2 Logarithmic Functions
        • 4.3 Rules of Logarithms
        • 4.4 Exponential and Logarithmic Equations and Inequalities
        • 4.5 Logarithmic Scales; Modeling
        • Chapter 4 Review and Tests
        • Review Exercises
        • Practice Test A
        • Practice Test B
        • Cumulative Review Exercises Chapters P—4
      6. TRIGONOMETRIC FUNCTIONS
        • 5.1 Angles and Their Measure
        • 5.2 Right-Triangle Trigonometry
        • 5.3 Trigonometric Functions of Any Angle; The Unit Circle
        • 5.4 Graphs of the Sine and Cosine Functions
        • 5.5 Graphs of the Other Trigonometric Functions
        • 5.6 Inverse Trigonometric Functions
        • Chapter 5 Review and Tests
        • Review Exercises
        • Practice Test A
        • Practice Test B
        • Cumulative Review Exercises Chapters P—5
      7. TRIGONOMETRIC IDENTITIES AND EQUATIONS
        • 6.1 Trigonometric Identities
        • 6.2 Sum and Difference Formulas
        • 6.3 Double-Angle and Half-Angle Formulas
        • 6.4 Product-to-Sum and Sum-to-Product Formulas
        • 6.5 Trigonometric Equations I
        • 6.6 Trigonometric Equations II
        • Chapter 6 Review and Tests
        • Review Exercises
        • Practice Test A
        • Practice Test B
        • Cumulative Review Exercises Chapters P—6
      8. APPLICATIONS OF TRIGONOMETRIC FUNCTIONS
        • 7.1 The Law of Sines
        • 7.2 The Law of Cosines
        • 7.3 Areas of Polygons Using Trigonometry
        • 7.4 Vectors
        • 7.5 The Dot Product
        • 7.6 Polar Coordinates
        • 7.7 Polar Form of Complex Numbers; DeMoivre’s Theorem
        • Chapter 7 Review and Tests
        • Review Exercises
        • Practice Test A
        • Practice Test B
        • Cumulative Review Exercises Chapters P—7
      9. SYSTEMS OF EQUATIONS AND INEQUALITIES
        • 8.1 Systems of Linear Equations in Two Variables
        • 8.2 Systems of Linear Equations in Three Variables
        • 8.3 Partial-Fraction Decomposition
        • 8.4 Systems of Nonlinear Equations
        • 8.5 Systems of Inequalities
        • 8.6 Linear Programming
        • Chapter 8 Review and Tests
        • Review Exercises
        • Practice Test A
        • Practice Test B
        • Cumulative Review Exercises Chapters P—8
      10. MATRICES AND DETERMINANTS
        • 9.1 Matrices and Systems of Equations
        • 9.2 Matrix Algebra
        • 9.3 The Matrix Inverse
        • 9.4 Determinants and Cramer’s Rule
        • Chapter 9 Review and Tests
        • Review Exercises
        • Practice Test A
        • Practice Test B
        • Cumulative Review Exercises Chapters P—9
      11. CONIC SECTIONS
        • 10.1 Conic Sections: Overview
        • 10.2 The Parabola
        • 10.3 The Ellipse
        • 10.4 The Hyperbola
        • Chapter 10 Review and Tests
        • Review Exercises
        • Practice Test A
        • Practice Test B
        • Cumulative Review Exercises Chapters P—10
      12. FURTHER TOPICS IN ALGEBRA
        • 11.1 Sequences and Series
        • 11.2 Arithmetic Sequences; Partial Sums
        • 11.3 Geometric Sequences and Series
        • 11.4 Mathematical Induction
        • 11.5 The Binomial Theorem
        • 11.6 Counting Principles
        • 11.7 Probability
        • Chapter 11 Review and Tests
        • Review Exercises
        • Practice Test A
        • Practice Test B
        • Cumulative Review Exercises Chapters P—11
      Answers to Selected Exercises Credits Index

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