Calculus for Business, Economics, Life Sciences and Social Sciences, Global Edition

For 1-2 semester or 1-3 quarter courses covering calculus for students in business, economics, social sciences, or life sciences. Barnett/Ziegler/Byleen is designed to help students help themselves succeed in the course. This text offers more built-in guidance than any other on the market-with special emphasis on prerequisites skills-and a host of student-friendly features to help students catch up or learn on their own. This program provides a better teaching and learning experience. Here's how: *Personalized learning with MyMathLab(R): the accompanying MyMathLab course provides online homework and learning tools that help students help themselves succeed. *More than 4,400 exercises in the text help you craft the perfect assignments for your students, with plenty of support for prerequisite skills. *Built-in guidance helps students help themselves learn course content. *Flexible coverage allows instructors to use this text in a way that suits their syllabus and teaching style.Diagnostic Prerequisite Test 1. Functions and Graphs 1.1 Functions 1.2 Elementary Functions: Graphs and Transformations 1.3 Linear and Quadratic Functions 1.4 Polynomial and Rational Functions 1.5 Exponential Functions 1.6 Logarithmic Functions Chapter 1 Review Review Exercises 2. Limits and the Derivative 2.1 Introduction to Limits 2.2 Infinite Limits and Limits at Infinity 2.3 Continuity 2.4 The Derivative 2.5 Basic Differentiation Properties 2.6 Differentials 2.7 Marginal Analysis in Business and Economics Chapter 2 Review Review Exercises 3. Additional Derivative Topics 3.1 The Constant e and Continuous Compound Interest 3.2 Derivatives of Exponential and Logarithmic Functions 3.3 Derivatives of Products and Quotients 3.4 The Chain Rule 3.5 Implicit Differentiation 3.6 Related Rates 3.7 Elasticity of Demand Chapter 3 Review Review Exercises 4. Graphing and Optimization 4.1 First Derivative and Graphs 4.2 Second Derivative and Graphs 4.3 L'Hopital's Rule 4.4 Curve Sketching Techniques 4.5 Absolute Maxima and Minima 4.6 Optimization Chapter 4 Review Review Exercises 5. Integration 5.1 Antiderivatives and Indefinite Integrals 5.2 Integration by Substitution 5.3 Differential Equations; Growth and Decay 5.4 The Definite Integral 5.5 The Fundamental Theorem of Calculus Chapter 5 Review Review Exercises 6. Additional Integration Topics 6.1 Area Between Curves 6.2 Applications in Business and Economics 6.3 Integration by Parts 6.4 Other Integration Methods Chapter 6 Review Review Exercises 7. Multivariable Calculus 7.1 Functions of Several Variables 7.2 Partial Derivatives 7.3 Maxima and Minima 7.4 Maxima and Minima Using Lagrange Multipliers 7.5 Method of Least Squares 7.6 Double Integrals Over Rectangular Regions 7.7 Double Integrals Over More General Regions Chapter 7 Review Review Exercises 8. Trigonometric Functions 8.1 Trigonometric Functions Review 8.2 Derivatives of Trigonometric Functions 8.3 Integration of Trigonometric Functions Chapter 8 Review Review Exercises APPENDICES A. Basic Algebra Review A.1 Algebra and Real Numbers A.2 Operations on Polynomials A.3 Factoring Polynomials A.4 Operations on Rational Expressions A.5 Integer Exponents and Scientific Notation A.6 Rational Exponents and Radicals A.7 Quadratic Equations B. Special Topics B.1 Sequences, Series, and Summation Notation B.2 Arithmetic and Geometric Sequences B.3 Binomial Theorem C. Tables Table I. Basic Geometric Formulas Table II Integration Formulas Answers Index Applications Index