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Precalculus Seventh Edition by Ron Larson and Robert Hostetler



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Precalculus Seventh Edition written by Ron Larson, The Pennsylvania State University, The Behrend College Robert Hostetler, The Pennsylvania State University, The Behrend College. With the assistance of David C. Falvo, The Pennsylvania State University, The Behrend College . This book cover the following topics.

  • 1. Functions and Their Graphs
    1.1 Rectangular Coordinates
    1.2 Graphs of Equations
    1.3 Linear Equations in Two Variables
    1.4 Functions
    1.5 Analyzing Graphs of Functions
    1.6 A Library of Parent Functions
    1.7 Transformations of Functions
    1.8 Combinations of Functions: Composite Functions
    1.9 Inverse Functions
    1.10 Mathematical Modeling and Variation
    Chapter Summary Review Exercises
    Chapter Test Proofs in Mathematics
    P.S. Problem Solving

  • 2. Polynomial and Rational Functions
    2.1 Quadratic Functions and Models
    2.2 Polynomial Functions of Higher Degree
    2.3 Polynomial and Synthetic Division
    2.4 Complex Numbers
    2.5 Zeros of Polynomial Functions
    2.6 Rational Functions
    2.7 Nonlinear Inequalities
    Chapter Summary Review Exercises
    Chapter Test Proofs in Mathematics
    P.S. Problem Solving

  • 3. Exponential and Logarithmic Functions
    3.1 Exponential Functions and Their Graphs
    3.2 Logarithmic Functions and Their Graphs
    3.3 Properties of Logarithms
    3.4 Exponential and Logarithmic Equations
    3.5 Exponential and Logarithmic Models
    Chapter Summary Review Exercises
    Chapter Test Cumulative Test: Chapters 1–3
    Proofs in Mathematics P.S. Problem Solving

  • 4. Trigonometry
    4.1 Radian and Degree Measure
    4.2 Trigonometric Functions: The Unit Circle
    4.3 Right Triangle Trigonometry
    4.4 Trigonometric Functions of Any Angle
    4.5 Graphs of Sine and Cosine Functions
    4.6 Graphs of Other Trigonometric Functions
    4.7 Inverse Trigonometric Functions
    4.8 Applications and Models
    Chapter Summary Review Exercises
    Chapter Test Proofs in Mathematics
    P.S. Problem Solving

  • 5. Analytic Trigonometry
    5.1 Using Fundamental Identities
    5.2 Verifying Trigonometric Identities
    5.3 Solving Trigonometric Equations
    5.4 Sum and Difference Formulas
    5.5 Multiple-Angle and Product-to-Sum Formulas
    Chapter Summary Review Exercises
    Chapter Test Proofs in Mathematics
    P.S. Problem Solving

  • 6. Additional Topics in Trigonometry
    6.1 Law of Sines
    6.2 Law of Cosines
    6.3 Vectors in the Plane
    6.4 Vectors and Dot Products
    6.5 Trigonometric Form of a Complex Number
    Chapter Summary Review Exercises
    Chapter Test Cumulative Test: Chapters 4–6
    Proofs in Mathematics P.S. Problem Solving

  • 7. Systems of Equations and Inequalities
    7.1 Linear and Nonlinear Systems of Equations
    7.2 Two-Variable Linear Systems
    7.3 Multivariable Linear Systems
    7.4 Partial Fractions
    7.5 Systems of Inequalities
    7.6 Linear Programming
    Chapter Summary 562 Review Exercises
    Chapter Test 567 Proofs in Mathematics
    P.S. Problem Solving

  • 8. Matrices and Determinants
    8.1 Matrices and Systems of Equations
    8.2 Operations with Matrices
    8.3 The Inverse of a Square Matrix
    8.4 The Determinant of a Square Matrix
    8.5 Applications of Matrices and Determinants
    Chapter Summary 631 Review Exercises
    Chapter Test 637 Proofs in Mathematics
    P.S. Problem Solving

  • 9. Sequences, Series, and Probability
    9.1 Sequences and Series
    9.2 Arithmetic Sequences and Partial Sums
    9.3 Geometric Sequences and Series
    9.4 Mathematical Induction
    9.5 The Binomial Theorem
    9.6 Counting Principles
    9.7 Probability
    Chapter Summary Review Exercises
    Chapter Test Cumulative Test: Chapters 7–9
    Proofs in Mathematics P.S. Problem Solving

  • 10. Topics in Analytic Geometry
    10.1 Lines
    10.2 Introduction to Conics: Parabolas
    10.3 Ellipses
    10.4 Hyperbolas
    10.5 Rotation of Conics
    10.6 Parametric Equations
    10.7 Polar Coordinates
    10.8 Graphs of Polar Equations
    10.9 Polar Equations of Conics
    Chapter Summary 800 Review Exercises
    Chapter Test 805 Proofs in Mathematics
    P.S. Problem Solving

  • Appendix A Review of Fundamental Concepts of Algebra
    A.1 Real Numbers and Their Properties
    A.2 Exponents and Radicals
    A.3 Polynomials and Factoring
    A.4 Rational Expressions
    A.5 Solving Equations
    A.6 Linear Inequalities in One Variable
    A.7 Errors and the Algebra of Calculus

  • Appendix B Concepts in Statistics (Web: college.hmco.com)
    B.1 Representing Data
    B.2 Measures of Central Tendency and Dispersion
    B.3 Least Squares Regression

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