Description

Book Synopsis


Table of Contents
1. Graphs and Functions
  • 1.1 The Coordinate Plane
  • 1.2 Graphs of Equations
  • 1.3 Lines
  • 1.4 Functions
  • 1.5 Properties of Functions
  • 1.6 A Library of Functions
  • 1.7 Transformations of Functions
  • 1.8 Combining Functions; Composite Functions
  • 1.9 Inverse Functions
  • Key Ideas At a Glance
  • Review Exercises
  • Practice Test
2. Polynomial and Rational Functions
  • 2.1 Quadratic Functions
  • 2.2 Polynomial Functions
  • 2.3 Dividing Polynomials and the Rational Zeros Test
  • 2.4 Rational Functions
  • 2.5 Polynomial and Rational Inequalities
  • 2.6 Zeros of a Polynomial Function
  • 2.7 Variation
  • Key Ideas At a Glance
  • Review Exercises
  • Practice Test
  • Cumulative Review Exercises Chapters 1-2
3. Exponential and Logarithmic Functions
  • 3.1 Exponential Functions
  • 3.2 Logarithmic Functions
  • 3.3 Rules of Logarithms
  • 3.4 Exponential and Logarithmic Equations and Inequalities
  • 3.5 Logarithmic Scales; Modeling
  • Key Ideas At a Glance
  • Review Exercises
  • Practice Test
  • Cumulative Review Exercises Chapters 1-3
4. Trigonometric Functions
  • 4.1 Angles and Their Measure
  • 4.2 The Unit Circle; Trigonometric Functions of Real Numbers
  • 4.3 Trigonometric Functions of Angles
  • 4.4 Graphs of the Sine and Cosine Functions
  • 4.5 Graphs of the Other Trigonometric Functions
  • 4.6 Inverse Trigonometric Functions
  • Key Ideas At a Glance
  • Review Exercises
  • Practice Test
  • Cumulative Review Exercises Chapters 1-4
5. Analytic Trigonometry
  • 5.1 Trigonometric Identities
  • 5.2 Sum and Difference Formulas
  • 5.3 Double-Angle and Half-Angle Formulas
  • 5.4 Product-to-Sum and Sum-to-Product Formulas
  • 5.5 Trigonometric Equations I
  • 5.6 Trigonometric Equations II
  • Key Ideas At a Glance
  • Review Exercises
  • Practice Test
  • Cumulative Review Exercises Chapters 1-5
6. Applications of Trigonometric Functions
  • 6.1 Right-Triangle Trigonometry
  • 6.2 The Law of Sines
  • 6.3 The Law of Cosines
  • 6.4 Vectors
  • 6.5 The Dot Product
  • 6.6 Polar Coordinates
  • 6.7 Polar Form of Complex Numbers; DeMoivre's Theorem
  • Key Ideas At a Glance
  • Review Exercises
  • Practice Test
  • Cumulative Review Exercises Chapters 1-6
7. Systems of Equations and Inequalities
  • 7.1 Systems of Equations in Two Variables
  • 7.2 Systems of Linear Equations in Three Variables
  • 7.3 Systems of Inequalities
  • 7.4 Matrices and Systems of Equations
  • 7.5 Determinants and Cramer's Rule
  • 7.6 Partial-Fraction Decomposition
  • 7.7 Matrix Algebra
  • 7.8 The Matrix Inverse
  • Key Ideas At a Glance
  • Review Exercises
  • Practice Test
  • Cumulative Review Exercises Chapters 1-7
8. Analytic Geometry
  • 8.1 Conic Sections: Overview
  • 8.2 The Parabola
  • 8.3 The Ellipse
  • 8.4 The Hyperbola
  • 8.5 Rotation of Axes
  • 8.6 Polar Equations of Conics
  • 8.7 Parametric Equations
  • Key Ideas At a Glance
  • Review Exercises
  • Practice Test
  • Cumulative Review Exercises Chapters 1-8
9. Further Topics in Algebra
  • 9.1 Sequences and Series
  • 9.2 Arithmetic Sequences; Partial Sums
  • 9.3 Geometric Sequences and Series
  • 9.4 Mathematical Induction
  • 9.5 The Binomial Theorem
  • 9.6 Counting Principles
  • 9.7 Probability
  • Key Ideas At a Glance
  • Review Exercises
  • Practice Test
  • Cumulative Review Exercises Chapters 1-9
10. An Introduction to Calculus
  • 10.1 Finding Limits Using Tables and Graphs
  • 10.2 Finding Limits Algebraically
  • 10.3 Infinite Limits and Limits at Infinity
  • 10.4 Introduction to Derivatives
  • 10.5 Area and the Integral
  • Key Ideas At a Glance
  • Review Exercises
  • Practice Test
A. Review
  • A.1 The Real Numbers; Integer Exponents
  • A.2 Polynomials
  • A.3 Rational Expressions
  • A.4 Radicals and Rational Exponents
  • A.5 Topics in Geometry
  • A.6 Equations
  • A.7 Inequalities
  • A.8 Complex Numbers
  • Answers to Selected Exercises Credits Index

Video NoteTaking Guide with Integrated Review

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

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      Publisher: Pearson Education
      Publication Date: 3/17/2022 12:00:00 AM
      ISBN13: 9780137840243, 978-0137840243
      ISBN10: 0137840241

      Description

      Book Synopsis


      Table of Contents
      1. Graphs and Functions
      • 1.1 The Coordinate Plane
      • 1.2 Graphs of Equations
      • 1.3 Lines
      • 1.4 Functions
      • 1.5 Properties of Functions
      • 1.6 A Library of Functions
      • 1.7 Transformations of Functions
      • 1.8 Combining Functions; Composite Functions
      • 1.9 Inverse Functions
      • Key Ideas At a Glance
      • Review Exercises
      • Practice Test
      2. Polynomial and Rational Functions
      • 2.1 Quadratic Functions
      • 2.2 Polynomial Functions
      • 2.3 Dividing Polynomials and the Rational Zeros Test
      • 2.4 Rational Functions
      • 2.5 Polynomial and Rational Inequalities
      • 2.6 Zeros of a Polynomial Function
      • 2.7 Variation
      • Key Ideas At a Glance
      • Review Exercises
      • Practice Test
      • Cumulative Review Exercises Chapters 1-2
      3. Exponential and Logarithmic Functions
      • 3.1 Exponential Functions
      • 3.2 Logarithmic Functions
      • 3.3 Rules of Logarithms
      • 3.4 Exponential and Logarithmic Equations and Inequalities
      • 3.5 Logarithmic Scales; Modeling
      • Key Ideas At a Glance
      • Review Exercises
      • Practice Test
      • Cumulative Review Exercises Chapters 1-3
      4. Trigonometric Functions
      • 4.1 Angles and Their Measure
      • 4.2 The Unit Circle; Trigonometric Functions of Real Numbers
      • 4.3 Trigonometric Functions of Angles
      • 4.4 Graphs of the Sine and Cosine Functions
      • 4.5 Graphs of the Other Trigonometric Functions
      • 4.6 Inverse Trigonometric Functions
      • Key Ideas At a Glance
      • Review Exercises
      • Practice Test
      • Cumulative Review Exercises Chapters 1-4
      5. Analytic Trigonometry
      • 5.1 Trigonometric Identities
      • 5.2 Sum and Difference Formulas
      • 5.3 Double-Angle and Half-Angle Formulas
      • 5.4 Product-to-Sum and Sum-to-Product Formulas
      • 5.5 Trigonometric Equations I
      • 5.6 Trigonometric Equations II
      • Key Ideas At a Glance
      • Review Exercises
      • Practice Test
      • Cumulative Review Exercises Chapters 1-5
      6. Applications of Trigonometric Functions
      • 6.1 Right-Triangle Trigonometry
      • 6.2 The Law of Sines
      • 6.3 The Law of Cosines
      • 6.4 Vectors
      • 6.5 The Dot Product
      • 6.6 Polar Coordinates
      • 6.7 Polar Form of Complex Numbers; DeMoivre's Theorem
      • Key Ideas At a Glance
      • Review Exercises
      • Practice Test
      • Cumulative Review Exercises Chapters 1-6
      7. Systems of Equations and Inequalities
      • 7.1 Systems of Equations in Two Variables
      • 7.2 Systems of Linear Equations in Three Variables
      • 7.3 Systems of Inequalities
      • 7.4 Matrices and Systems of Equations
      • 7.5 Determinants and Cramer's Rule
      • 7.6 Partial-Fraction Decomposition
      • 7.7 Matrix Algebra
      • 7.8 The Matrix Inverse
      • Key Ideas At a Glance
      • Review Exercises
      • Practice Test
      • Cumulative Review Exercises Chapters 1-7
      8. Analytic Geometry
      • 8.1 Conic Sections: Overview
      • 8.2 The Parabola
      • 8.3 The Ellipse
      • 8.4 The Hyperbola
      • 8.5 Rotation of Axes
      • 8.6 Polar Equations of Conics
      • 8.7 Parametric Equations
      • Key Ideas At a Glance
      • Review Exercises
      • Practice Test
      • Cumulative Review Exercises Chapters 1-8
      9. Further Topics in Algebra
      • 9.1 Sequences and Series
      • 9.2 Arithmetic Sequences; Partial Sums
      • 9.3 Geometric Sequences and Series
      • 9.4 Mathematical Induction
      • 9.5 The Binomial Theorem
      • 9.6 Counting Principles
      • 9.7 Probability
      • Key Ideas At a Glance
      • Review Exercises
      • Practice Test
      • Cumulative Review Exercises Chapters 1-9
      10. An Introduction to Calculus
      • 10.1 Finding Limits Using Tables and Graphs
      • 10.2 Finding Limits Algebraically
      • 10.3 Infinite Limits and Limits at Infinity
      • 10.4 Introduction to Derivatives
      • 10.5 Area and the Integral
      • Key Ideas At a Glance
      • Review Exercises
      • Practice Test
      A. Review
      • A.1 The Real Numbers; Integer Exponents
      • A.2 Polynomials
      • A.3 Rational Expressions
      • A.4 Radicals and Rational Exponents
      • A.5 Topics in Geometry
      • A.6 Equations
      • A.7 Inequalities
      • A.8 Complex Numbers
      • Answers to Selected Exercises Credits Index

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