Description

Book Synopsis

J.S. Ratti has been teaching mathematics at all levels for over 35 years. He is currently a full professor and past chair of mathematics at the University of South Florida. Professor Ratti is the author of numerous research papers in analysis, graph theory, and probability. He has received several awardsincluding a USF Research Council Grant, USF Teaching Incentive Program (TIP) Award, USF Outstanding Undergraduate Teaching Award, and Academy of Applied Sciences grantsand is the coauthor of a successful finite mathematics textbook. He enjoys both college and professional football as well as traveling.

Marcus McWaters is currently an Associate Professor at the University of South Florida (USF). He is a former Chair of the Department of Mathematics and Statistics at USF. Since receiving his PhD in mathematics from the University of Florida, he has taught all levels of undergraduate and graduate courses, with class sizes ranging from 3 to 250. A

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

Student Solutions Manual for College Algebra and

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

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      Publisher: Pearson Education
      Publication Date: Publication Date: 10/9/2018 12:00:00 AM
      ISBN13: 9780134699073, 978-0134699073
      ISBN10: 0134699076

      Description

      Book Synopsis

      J.S. Ratti has been teaching mathematics at all levels for over 35 years. He is currently a full professor and past chair of mathematics at the University of South Florida. Professor Ratti is the author of numerous research papers in analysis, graph theory, and probability. He has received several awardsincluding a USF Research Council Grant, USF Teaching Incentive Program (TIP) Award, USF Outstanding Undergraduate Teaching Award, and Academy of Applied Sciences grantsand is the coauthor of a successful finite mathematics textbook. He enjoys both college and professional football as well as traveling.

      Marcus McWaters is currently an Associate Professor at the University of South Florida (USF). He is a former Chair of the Department of Mathematics and Statistics at USF. Since receiving his PhD in mathematics from the University of Florida, he has taught all levels of undergraduate and graduate courses, with class sizes ranging from 3 to 250. A

      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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