Precalculus Textbook Seventh Edition Pdf

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1. Review of Functions

Precalculus Textbook Pdf.pdf - Free download Ebook, Handbook, Textbook, User Guide PDF files on the internet quickly and easily. Precalculus: Mathematics for Calculus, 6th Edition - PDF Free Download - Fox eBook From www.foxebook.net - April 29, 2014 1:53 PM Precalculus: Mathematics for Calculus, 6th Edition PDF Free Download, Reviews, Read Online, ISBN:, By James Stewart, Lothar Redlin, Saleem Watson.

1.1Functions and Their Graphs1.2Trigonometric Functions1.3Other Special Functions1.4Inverse Functions

2. Limits

2.1Rates of Change and Tangent Lines2.2The Definition of a Limit2.3Computing Limits with the Limits Laws2.4Continuity2.5One-Sided Limits2.6Limits Involving Infinity

3. Differentiation

3.1The Derivative as Rate of Change3.2The Derivative at a Point3.3The Derivative as a Function3.4The Basic Rules of Differentiation3.5The Product and Quotient Rules3.6The Chain Rule3.7Derivatives of the Trigonometric Functions3.8Implicit Differentiation3.9Derivatives of Exponential and Logarithmic Functions3.10Derivatives of the Inverse Trigonometric Functions

4. Applications of the Derivative

4.1Extrema for a Function4.2The Mean Value Theorem4.3First Derivatives and Increasing/Decreasing Functions4.4Second Derivatives and Concavity4.5Optimization Problems4.6Linear Approximation and Differentials4.7Newton's Method4.8Related Rates4.9L'Hopital's Rule4.10Antiderivatives

5. Integration

5.1Estimating the Area under a Curve5.2The Definite Integral5.3The Indefinite Integral5.4The Fundamental Theorem of Calculus

6. Integration Techniques

6.1The Basic Rules of Integration6.2Integration by Substitution6.3Integration by Parts6.4Integration of Trigonometric Functions6.5Integration by Trigonometric Substitution6.6Partial Fraction Decomposition6.7Integration Tables and Other Strategies6.8Numerical Integration and CAS Systems6.9Improper Integrals

7. Applications of the Integral

7.1The Area Between Two Curves7.2Volumes: The Disk Method7.3Volumes: The Shell Method7.4Arc Length7.5Surface Area and Areas of Revolution7.6Net Change7.7Average Value7.8Applications in Science7.9Introduction to Probability

8. Ordinary Differential Equations

8.1Introduction to Differential Equations: Slope Fields and Euler's Method8.2Exponential Growth and Decay8.3Separable Differential Equations8.4The Logistic Equation8.5First Order Linear Differential Equations

9. Sequences and Series

9.1Sequences9.2Infinite Series and the nth Term Test9.3The Integral and p-Series Tests9.4The Comparison Tests9.5The Root and Ratio Tests9.6Alternating Series and Absolute Convergence9.7Polynomial Approximations of Functions9.8Power Series9.9Taylor Series9.10Convergence of Taylor Series

10. Parametrized Functions and Polar Coordinates

10.1Parametric Equations of Plane Curves10.2Tangents, Arc Length, and Surface Area of Parametrized Regions10.3The Polar Coordinate System10.4Arc Length and Area in Polar Coordinates10.5Conic Sections

11. Vectors and the Geometry of Space

11.1Vectors in the Plane11.2Vectors in 3 Dimensional Space11.3Spherical and Cylindrical Coordinates in 3D11.4The Dot Product11.5The Cross Product11.6Lines, Curves, and Planes11.7Surfaces

12. Vector Functions

12.1Vector Functions12.2Differentiation and Integration of Vector Functions12.3Particle Motion in Space12.4Arc Length12.5Curvature

13. Differentiation of Functions of Several Variables

13.1Functions of Several Variables13.2Limits and Continuity in Higher Dimensions13.3Partial Derivatives13.4Differentials and the Tangent Plane13.5The Chain Rule for Functions of Several Variables13.6Directional Derivatives and the Gradient13.7Extrema on a Surface13.8Lagrange Multipliers

14. Multiple Integration

14.1Double Integrals over Rectangular Regions14.2Double Integrals over Arbitrary Regions14.3Double Integrals in Polar Coordinates14.4Surface Area14.5Triple Integrals14.6Triple Integrals in Spherical and Cylindrical Coordinates14.7

Precalculus Textbook Seventh Edition Pdf Book

Centroids and Moments of Inertia14.8Change of Variables in Multiple Integrals

15. Vector Analysis

15.1Vector Fields

Precalculus Textbook Seventh Edition Pdf Download

15.2Line Integrals15.3Conservative Vector Fields and the Fundamental Theorem for Line Integrals15.4Green's Theorem15.5Parametrized Surfaces15.6Surface Integrals15.7Divergence and Curl15.8Stokes' Theorem15.9The Divergence Theorem

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Book Preface

What do students really need to know to be prepared for calculus? What tools do instructors really need to assist their students in preparing for calculus? These two questions have motivated the writing of this book.

To be prepared for calculus a student needs not only technical skill but also a clear understanding of concepts. Indeed, conceptual understanding and technical skill go hand in hand, each reinforcing the other. A student also needs to gain an appreciation for the power and utility of mathematics in modeling the real world. Every feature of this textbook is devoted to fostering these goals.

In this Seventh Edition our objective is to further enhance the effectiveness of the book as an instructional tool for teachers and as a learning tool for students. Many of the changes in this edition are a result of suggestions we received from instructors and students who are using the current edition; others are a result of insights we have gained from our own teaching. Some chapters have been reorganized and rewritten, new sections have been added (as described below), the review material at the end of each chapter has been substantially expanded, and exercise sets have been enhanced to further focus on the main concepts of precalculus. In all these changes and numerous others (small and large) we have retained the main features that have contributed to the success of this book.

New to the Seventh Edition

■ 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.
■ 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 1.6, “Complex Numbers” (formerly in Chapter 3), has been moved here. Section 1.12, “Modeling Variation,” is now also in this chapter.
■ CHAPTER 2 Functions This chapter now includes the new Section 2.5, “Linear Functions and Models.” This section 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, “Polynomial and Rational Inequalities.” 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 4.6, “Modeling with Exponential Functions,” focuses on modeling growth and decay, Newton’s Law of Cooling, and other such applications. Section 4.7, “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.
■ 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.

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