Precalculus – Raymond Barnett, Michael Ziegler, Karl Byleen, Dave Sobecki – 7ª Edición

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Mathematical reform is the driving force behind the organization and development of this new text. The use of technology,primarily graphing utilities, is assumed throughout the text. The development of each topic proceeds from the concrete to the abstract and takes full advantage of technology,wherever appropriate. The first major objective of this book is to encourage to investigate mathematical ideas and graphically and numerically,as well as algebraically.

The Barnett, Ziegler, Byleen, and Sobecki series is designed to be user friendly and to maximize comprehension by emphasizing computational skills, ideas, and as opposed to mathematical theory. Suitable for either one or two semester with trigonometry or courses, Precalculus introduces a unit circle approach to trigonometry and includes a chapter on limits to provide with a solid foundation for concepts.

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  • CHAPTER R: BASIC ALGEBRAIC OPERATIONS
    R-1 Algebra and Real Numbers
    R-2 Exponents and Radicals
    R-3 Polynomials: Basic Operations and Factoring
    R-4 Rational Expressions: Basic Operations
    Chapter R Review

    CHAPTER 1: EQUATIONS AND INEQUALITIES
    1-1 Linear Equations and Applications
    1-2 Linear Inequalities
    1-3 Absolute Value
    1-4 Complex Numbers
    1-5 Quadratic Equations and Applications
    1-6 Equations Involving Radicals
    Chapter 1 Group Activity: Solving a Cubic Equation
    Chapter 1 Review

    CHAPTER 2: GRAPHS
    2-1 Rectangular Coordinates
    2-2 Distance in the Plane
    2-3 Equations of a Line
    2-4 Linear Equations and Models
    Chapter 2 Group Activity: Rates of Average Speed
    Chapter 2 Review

    CHAPTER 3: FUNCTIONS
    3-1 Functions
    3-2 Graphing Functions
    3-3 Transformations of Functions
    3-4 Quadratic Functions
    3-5 Combining Functions; Composition
    3-6 Inverse Functions
    Chapter 3 Group Activity: Mathematical Modeling - Choosing a Cell Phone Plan
    Chapter 3 Review
    1, 2, & 3 Cumulative Review Exercises

    CHAPTER 4: POLYNOMIAL AND RATIONAL FUNCTIONS
    4-1 Polynomial Functions, Division, And Models
    4-2 Real Zeros and Polynomial Inequalities
    4-3 Complex Zeros and Rational Zeros of Polynomials
    4-4 Rational Functions and Inequalities
    4-5 Variation and Modeling
    Chapter 4 Group Activity: Interpolating Polynomials
    Chapter 4 Review

    CHAPTER 5: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
    5-1 Exponential Functions
    5-2 Exponential Models
    5-3 Logarithmic Functions
    5-4 Logarithmic Models
    5-5 Exponential and Logarithmic Equations
    Chapter 5 Group Activity: Growth of Increasing Functions
    Chapter 5 Review
    4 & 5 Cumulative Review Exercises

    CHAPTER 6: TRIGONOMETRIC FUNCTIONS
    6-1 Angles and Their Measure
    6-2 Trigonometric Functions: A Unit Circle Approach
    6-3 Solving Right Triangles
    6-4 Trigonometric Functions: Properties and Graphs
    6-5 More General Trigonometric Functions
    6-6 Inverse Trigonometric Functions
    Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer
    Chapter 6 Review

    CHAPTER 7: TRIGONOMETRIC IDENTITIES AND CONDITIONAL EQUATIONS
    7-1 Basic Identities and Their Use
    7-2 Sum, Difference, and Cofunction Identities
    7-3 Double-Angle and Half-Angle Identities
    7-4 Product-Sum and Sum-Product Identities
    7-5 Trigonometric Equations
    Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C) - A Harmonic Analysis Tool
    Chapter 7 Review

    CHAPTER 8: ADDITIONAL TOPICS IN TRIGONOMETRY
    8-1 Law of Sines
    8-2 Law of Cosines
    8-3 Vectors in the Plane
    8-4 Polar Coordinates and Graphs
    8-5 Complex Numbers and De Moivre's Theorem
    Chapter 8 Group Activity: Conic Sections and Planetary Orbits
    Chapter 8 Review
    6, 7, & 8 Cumulative Review Exercises

    CHAPTER 9: ADDITIONAL TOPICS IN ANALYTIC GEOMETRY
    9-1 Conic Sections; Parabola
    9-2 Ellipse
    9-3 Hyperbola
    9-4 Rotation of Axes
    Chapter 9 Group Activity: Focal Chords
    Chapter 9 Review

    CHAPTER 10: SYSTEMS OF EQUATIONS AND INEQUALITIES; MATRICES
    10-1 Systems of Linear Equations
    10-2 Solving Systems of Linear Equations Using Gauss-Jordan Elimination
    10-3 Matrix Operations
    10-4 Solving Systems of Linear Equations Using Matrix Inverse Methods
    10-5 Determinants and Cramer's Rule
    Chapter 10 Group Activity: Modeling with Systems of Linear Equations
    10-6 Systems of Nonlinear Equations
    10-7 Systems of Linear Inequalities
    10-8 Linear Programming
    Chapter 10 Review

    CHAPTER 11: SEQUENCES AND SERIES
    11-1 Sequences and Series
    11-2 Mathematical Induction
    11-3 Arithmetic and Geometric Sequences
    11-4 Counting Techniques: Multiplication Principle, Permutations, and Combinations
    11-5 Sample Spaces and Probability
    11-6 Binomial Formula
    Chapter 11 Group Activity: Sequences Specified by Recursion Formulas
    Chapter 11 Review
    9. 10, & 11 Cumulative Review Exercises

    CHAPTER 12: LIMITS: AN INTRODUCTION TO CALCULUS
    12-1 Introduction to Limits
    12-2 Computing Limits Algebraically
    12-3 Limits at Infinity
    12-4 The Derivative
    12-5 Area and Calculus
    Chapter 12 Group Activity: Derivatives of Exponential and Log Functions
    Chapter 12 Review
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