CTE Precalculus: Mathematics for Calculus with CB VitalSource eBook 7th Edition
STEWART/REDLIN/WATSON
ISBN-13: 9789814687300 | ISBN-10: 9814687308
© 2016 | Published |  0  Pages

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Paperback/Softcover Book/Jrnal
Cengage Technology Edition combines a full ebook or digital solutions package with each print edition. Use this new hybrid edition for maximum flexibility and benefits.
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CB VitalSource eBook – The ultimate eBook experience has arrived! Easily access our eBooks with features that will improve your reading experience, and tools to help you take notes and organize your studies.

This bestselling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking. Comprehensive and evenly paced, the book provides complete coverage of the function concept, and integrates a significant amount of graphing calculator material to help students develop insight into mathematical ideas. The authors’ attention to detail and clarity—the same as found in James Stewart’s market-leading Calculus text—is what makes this text the proven market leader.



  • Preface.
    To the Student.
    Prologue: Principles of Problem Solving.
    1. FUNDAMENTALS.
    Chapter Overview.
    1.1 Real Numbers. 1.2 Exponents and Radicals. 1.3 Algebraic Expressions. 1.4 Rational Expressions. 1.5 Equations. 1.6 Complex Numbers. 1.7 Modeling with Equations. 1.8 Inequalities. 1.9 The Coordinate Plane; Graphs of Equations; Circles. 1.10 Lines. 1.11 Solving Equations and Inequalities Graphically. 1.12 Modeling Variation. Chapter 1 Review. Chapter 1 Test.
    FOCUS ON MODELING: FITTING LINES TO DATA.
    2. FUNCTIONS.
    Chapter Overview.
    2.1 Functions. 2.2 Graphs of Functions. 2.3 Getting Information from the Graph of a Function. 2.4 Average Rate of Change of a Function. 2.5 Linear Functions and Models. 2.6 Transformations of Functions. 2.7 Combining Functions. 2.8 One-to-One Functions and Their Inverses. Chapter 2 Review. Chapter 2 Test.
    FOCUS ON MODELING: MODELING WITH FUNCTIONS.
    3. POLYNOMIAL AND RATIONAL FUNCTIONS.
    3.1 Chapter Overview. 3.2 Quadratic Functions and Models. 3.3 Polynomial Functions and Their Graphs. 3.4 Dividing Polynomials. 3.5 Real Zeros of Polynomials. 3.6 Complex Zeros and the Fundamental Theorem of Algebra. 3.7 Rational Functions. 3.8 Polynomial and Rational Inequalities. Chapter 3 Review. Chapter 3 Test.
    FOCUS ON MODELING: FITTING POLYNOMIAL CURVES TO DATA.
    4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
    Chapter Overview.
    4.1 Exponential Functions. 4.2 The Natural Exponential Function. 4.3 Logarithmic Functions. 4.4 Laws of Logarithms. 4.5 Exponential and Logarithmic Equations. 4.6 Modeling with Exponential Functions. 4.7 Logarithmic Scales. Chapter 4 Review. Chapter 4 Test.
    FOCUS ON MODELING: FITTING EXPONENTIAL AND POWER CURVES TO DATA.
    5. TRIGONOMETRIC FUNCTIONS: UNIT CIRCLE APPROACH.
    Chapter Overview.
    5.1 The Unit Circle. 5.2 Trigonometric Functions of Real Numbers. 5.3 Trigonometric Graphs. 5.4 More Trigonometric Graphs. 5.5 Inverse Trigonometric Functions and Their Graphs. 5.6 Modeling Harmonic Motion. Chapter 5 Review. Chapter 5 Test.
    FOCUS ON MODELING: FITTING SINUSOIDAL CURVES TO DATA.
    6. TRIGONOMETRIC FUNCTIONS: RIGHT TRIANGLE APPROACH.
    Chapter Overview.
    6.1 Angle Measure. 6.2 Trigonometry of Right Triangles. 6.3 Trigonometric Functions of Angles. 6.4 Inverse Trigonometric Functions and Triangles. 6.5 The Law of Sines. 6.6 The Law of Cosines. Chapter 6 Review. Chapter 6 Test.
    FOCUS ON MODELING: SURVEYING.
    7. ANALYTIC TRIGONOMETRY.
    Chapter Overview.
    7.1 Trigonometric Identities. 7.2 Addition and Subtraction Formulas. 7.3 Double-Angle, Half-Angle, and Sum-Product Formulas. 7.4 Basic Trigonometric Equations. 7.5 More Trigonometric Equations. Chapter 7 Review. Chapter 7 Test.
    FOCUS ON MODELING: TRAVELING AND STANDING WAVES.
    8. POLAR COORDINATES AND PARAMETRIC EQUATIONS.
    Chapter Overview.
    8.1 Polar Coordinates. 8.2 Graphs of Polar Equations. 8.3 Polar Form of Complex Numbers; DeMoivre’s Theorem. 8.4 Plane Curves and Parametric Equations. Chapter 8 Review. Chapter 8 Test.
    FOCUS ON MODELING: The Path of a Projectile.
    9. VECTORS IN TWO AND THREE DIMENSIONS .
    Chapter Overview.
    9.1 Vectors in Two Dimensions. 9.2 The Dot Product. 9.3 Three –Dimensional Coordinate Geometry. 9.4 Vectors in Three Dimensions. 9.5 The Cross Product. 9.6 Equations of Lines and Planes. Chapter 9 Review. Chapter 9 Test.
    FOCUS ON MODELING: VECTOR FIELDS.
    10. SYSTEMS OF EQUATIONS AND INEQUALITIES.
    Chapter Overview.
    10.1 Systems of Linear Equations in Two Variables. 10.2 Systems of Linear Equations in Several Variables. 10.3 Matrices and Systems of Linear Equations. 10.4 The Algebra of Matrices. 10.5 Inverses of Matrices and Matrix Equations. 10.6 Determinants and Cramer’s Rule. 10.7 Partial Fractions. 10.8 Systems of Non-Linear Equations. 10.9 Systems of Inequalities. Chapter 10 Review. Chapter 10 Test.
    FOCUS ON MODELING: LINEAR PROGRAMMING.
    11. CONIC SECTIONS.
    Chapter Overview. 11.1 Parabolas. 11.2 Ellipses. 11.3 Hyperbolas. 11.4 Shifted Conics. 11.5 Rotation of Axes. 11.6 Polar Equations of Conics. Chapter 11 Review. Chapter 11 Test.
    FOCUS ON MODELING: CONICS IN ARCHITECTURE.
    12. SEQUENCES AND SERIES.
    Chapter Overview. 12.1 Sequences and Summation Notation. 12.2 Arithmetic Sequences. 12.3 Geometric Sequences. 12.4 Mathematics of Finance. 12.5 Mathematical Induction. 12.6 The Binomial Theorem. Chapter 12 Review. Chapter 12 Test.
    FOCUS ON MODELING: MODELING WITH RECURSIVE SEQUENCES.
    13. LIMITS: A PREVIEW OF CALCULUS.
    Chapter Overview. 13.1 Finding Limits Numerically and Graphically. 13.2 Finding Limits Algebraically. 13.3 Tangent Lines and Derivatives. 13.4 Limits at Infinity: Limits of Sequences. Areas. Chapter 13 Review. Chapter 13 Test.
    FOCUS ON MODELING: INTERPRETATIONS OF AREA.
    APPENDIX A: Geometry Review.
    APPENDIX B: Calculations and Significant Figures (available on website).
    APPENDIX C: Graphing with a Graphing Calculator (available on website).
    APPENDIX D: Using the TI-83/84 Graphing Calculator (available on website).

      • New Exercises: More than 20% of the exercises are new, and groups of exercises now have headings that identify the type of exercise. New Skills Plus exercises in most sections contain more challenging exercises that require students to extend and synthesize concepts.
      • Chapter 10 Systems of Equations and Inequalities: The material on systems of inequalities has been rewritten to emphasize the steps used in graphing the solution of a system of inequalities.
      • Review Material: The review material at the end of each chapter now includes a summary of properties and formulas and a new Concept Check. Each Concept Check provides a step-by-step review of all the main concepts and applications of the chapter. Answers to the Concept Check questions are on tear-out sheets at the back of the book.
      • Discovery Projects: References to Discovery Projects, including brief descriptions of the content of each project, are located in boxes where appropriate in each chapter. These boxes highlight the applications of precalculus in many different real-world contexts. (The projects are located at the book companion website www.stewartmath.com).
      • Geometry Review: A new Appendix A contains a review of the main concepts of geometry used in this book, including similarity and the Pythagorean Theorem.
      • Chapter 1 Fundamentals: This chapter now contains two new sections: Section 1.5, "Complex Numbers" (formerly in Chapter 3), and Section 1.12, "Modeling with Variation."
      • Chapter 2 Functions: This chapter now includes the new Section 2.5, "Linear Functions and Models," which highlights the connection between the slope of a line and the rate of change of a linear function. These two interpretations of slope help prepare students for the concept of the derivative in calculus.
      • Chapter 3 Polynomial and Rational Functions: This chapter now includes the new Section 3.7, "Solving Polynomial and Rational Inequalities Graphically." Section 3.6, "Rational Functions," has a new subsection on rational functions with "holes." The sections on complex numbers and on variation have been moved to Chapter 1.
      • Chapter 4 Exponential and Logarithmic Functions: The chapter now includes two sections on the applications of these functions. Section 4.7, "Modeling with Exponential Functions," focuses on modeling growth and decay, Newton's Law of Cooling, and other such applications. Section 4.8, "Logarithmic Scales," covers the concept of a logarithmic scale with applications involving the pH, Richter, and decibel scales.
      • Chapter 5 Trigonometric Functions: Unit Circle Approach: This chapter includes a new subsection on the concept of phase shift as used in modeling harmonic motion.
    For more information about these supplements, or to obtain them, contact your Learning Consultant