Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version

<div class="c-section-headers-number-list_container"> <ul> <li>Preface</li> <li>Diagnostic Prerequisite Test</li> </ul> <h3>1. Functions and Graphs</h3> <ul> <li>1.1 Functions</li> <li>1.2 Elementary Functions: Graphs and Transformations</li> <li>1.3 Linear and Quadratic Functions</li> <li>1.4 Polynomial and Rational Functions</li> <li>1.5 Exponential Functions</li> <li>1.6 Logarithmic Functions</li> <li>Chapter 1 Summary and Review</li> <li>Review Exercises</li> </ul> <h3>2. Limits and the Derivative</h3> <ul> <li>2.1 Introduction to Limits</li> <li>2.2 Infinite Limits and Limits at Infinity</li> <li>2.3 Continuity</li> <li>2.4 The Derivative</li> <li>2.5 Basic Differentiation Properties</li> <li>2.6 Differentials</li> <li>2.7 Marginal Analysis in Business and Economics</li> <li>Chapter 2 Summary and Review</li> <li>Review Exercises</li> </ul> <h3>3. Additional Derivative Topics</h3> <ul> <li>3.1 The Constant e and Continuous Compound Interest</li> <li>3.2 Derivatives of Exponential and Logarithmic Functions</li> <li>3.3 Derivatives of Products and Quotients</li> <li>3.4 The Chain Rule</li> <li>3.5 Implicit Differentiation</li> <li>3.6 Related Rates</li> <li>3.7 Elasticity of Demand</li> <li>Chapter 3 Summary and Review</li> <li>Review Exercises</li> </ul> <h3>4. Graphing and Optimization</h3> <ul> <li>4.1 First Derivative and Graphs</li> <li>4.2 Second Derivative and Graphs</li> <li>4.3 L'Hôpital's Rule</li> <li>4.4 Curve-Sketching Techniques</li> <li>4.5 Absolute Maxima and Minima</li> <li>4.6 Optimization</li> <li>Chapter 4 Summary and Review</li> <li>Review Exercises</li> </ul> <h3>5. Integration</h3> <ul> <li>5.1 Antiderivatives and Indefinite Integrals</li> <li>5.2 Integration by Substitution</li> <li>5.3 Differential Equations; Growth and Decay</li> <li>5.4 The Definite Integral</li> <li>5.5 The Fundamental Theorem of Calculus</li> <li>Chapter 5 Summary and Review</li> <li>Review Exercises</li> </ul> <h3>6. Additional Integration Topics</h3> <ul> <li>6.1 Area Between Curves</li> <li>6.2 Applications in Business and Economics</li> <li>6.3 Integration by Parts</li> <li>6.4 Other Integration Methods</li> <li>Chapter 6 Summary and Review</li> <li>Review Exercises</li> </ul> <h3>7. Multivariable Calculus</h3> <ul> <li>7.1 Functions of Several Variables</li> <li>7.2 Partial Derivatives</li> <li>7.3 Maxima and Minima</li> <li>7.4 Maxima and Minima Using Lagrange Multipliers</li> <li>7.5 Method of Least Squares</li> <li>7.6 Double Integrals over Rectangular Regions</li> <li>7.7 Double Integrals over More General Regions</li> <li>Chapter 7 Summary and Review</li> <li>Review Exercises</li> </ul> <h3>Appendix A: Basic Algebra Review</h3> <ul> <li>A.1 Real Numbers</li> <li>A.2 Operations on Polynomials</li> <li>A.3 Factoring Polynomials</li> <li>A.4 Operations on Rational Expressions</li> <li>A.5 Integer Exponents and Scientific Notation</li> <li>A.6 Rational Exponents and Radicals</li> <li>A.7 Quadratic Equations</li> </ul> <h3>Appendix B: Special Topics (online at <a href="https://media.pearsoncmg.com/ph/esm/esm_barnett_bcb14e_19/launch/Barnett_14e_AppendixB.pdf">goo.gl/mjbXrG</a>)</h3> <ul> <li>B.1 Sequences, Series, and Summation Notation</li> <li>B.2 Arithmetic and Geometric Sequences</li> <li>B.3 Binomial Theorem</li> <li>B.4 Interpolating Polynomials and Divided Differences</li> </ul> <h3>Appendix C: Integration Using Tables</h3> <h4 class="h5">Answers</h4> <h4 class="h5">Index</h4> <h4 class="h5">Index of Applications</h4> </div>