Precalculus: A Right Triangle Approach, 4th edition

Published by Pearson (August 19, 2020) © 2019

  • J S Ratti University of South Florida
  • Marcus S. McWaters University of South Florida
  • Leslaw Skrzypek University Of South Florida
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Precalculus: A Right Triangle Approach, 4th Edition draws from the authors' extensive classroom experience to connect conceptual understanding while maintaining course rigor. Just-in-time review throughout ensures that everyone is working at the same level before being introduced to new concepts. Numerous applications motivate you to apply the concepts and skills you learn in college algebra and trigonometry to other courses (including the physical and biological sciences, engineering and economics) and to on-the-job or everyday problem solving.

Ample opportunities are provided to think about important mathematical ideas and to practice and apply algebraic skills. Because mathematical concepts are developed thoroughly and with clearly defined terminology, you'll see the “why” behind those concepts, paving the way for a deeper understanding, better retention, less reliance on rote memorization and ultimately more success.

P. 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

1. 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

2. 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

3. 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

4. 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

5. 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

6. 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

7. 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

8. 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

9. 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

10. 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

11. 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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