Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition, Media Update

<h3>Chapter 1: Functions, Graphs, and Limits</h3><h4>1.1Functions</h4><h4>1.2The Graph of a Function</h4><h4>1.3Lines and Linear Functions</h4><h4>1.4Functional Models</h4><h4>1.5Limits</h4><h4>1.6One-Sided Limits and Continuity</h4><h3>Chapter 2: Differentiation: Basic Concepts</h3><h4>2.1The Derivative</h4><h4>2.2Techniques of Differentiation</h4><h4>2.3Product and Quotient Rules; Higher-Order Derivatives</h4><h4>2.4The Chain Rule</h4><h4>2.5Marginal Analysis and Approximations Using Increments</h4><h4>2.6Implicit Differentiation and Related Rates</h4><h3>Chapter 3: Additional Applications of the Derivative</h3><h4>3.1 Increasing and Decreasing Functions; Relative Extrema</h4><h4>3.2 Concavity and Points of Inflection</h4><h4>3.3 Curve Sketching</h4><h4>3.4 Optimization; Elasticity of Demand</h4><h4>3.5 Additional Applied Optimization</h4><h3>Chapter 4: Exponential and Logarithmic Functions</h3><h4>4.1 Exponential Functions; Continuous Compounding</h4><h4>4.2 Logarithmic Functions</h4><h4>4.3 Differentiation of Exponential and Logarithmic Functions</h4><h4>4.4 Additional Applications; Exponential Models</h4><h3>Chapter 5: Integration</h3><h4>5.1 Indefinite Integration and Differential Equations</h4><h4>5.2 Integration by Substitution</h4><h4>5.3 The Definite Integral and the Fundamental Theorem of Calculus</h4><h4>5.4 Applying Definite Integration: Distribution of Wealth and Average Value</h4><h4>5.5 Additional Applications to Business and Economics</h4><h4>5.6 Additional Applications to the Life and Social Sciences</h4><h3>Chapter 6: Additional Topics in Integration</h3><h4>6.1 Integration by Parts; Integral Tables</h4><h4>6.2 Numerical Integration</h4><h4>6.3 Improper Integrals</h4><h3>Chapter 7: Calculus of Several Variables</h3><h4>7.1 Functions of Several Variables</h4><h4>7.2 Partial Derivatives</h4><h4>7.3 Optimizing Functions of Two Variables</h4><h4>7.4 The Method of Least-Squares</h4><h4>7.5 Constrained Optimization: The Method of Lagrange Multipliers</h4><h4>7.6 Double Integrals</h4><h3>Chapter 8: Trigonometric Functions</h3><h4>8.1 Angle Measurement; Trigonometric Functions</h4><h4>8.2 Trigonometric Applications Involving Differentiation</h4><h4>8.3 Trigonometric Applications Involving Integration</h4><h3>Chapter 9: Differential Equations</h3><h4>9.1 Modeling with Differential Equations</h4><h4>9.2 First-Order Linear Differential Equations</h4><h4>9.3 Additional Applications of Differential Equations</h4><h4>9.4 Approximate Solutions of Differential Equations</h4><h4>9.5 Difference Equations; The Cobweb Model</h4><h3>Chapter 10: Infinite Series and Taylor Series Approximations</h3><h4>10.1 Infinite Series; Geometric Series</h4><h4>10.2 Tests for Convergence</h4><h4>10.3 Functions as Power Series; Taylor Series</h4><h3>Chapter 11: Probability and Calculus</h3><h4>11.1 Introduction to Probability; Discrete Random Variables</h4><h4>11.2 Continuous Probability Distributions</h4><h4>11.3 Expected Value and Variance of Continuous Random Variables</h4><h4>10.4 Normal and Poisson Probability Distributions</h4><h3>Appendix A: Algebra Review</h3><h4>A.1 A Brief Review of Algebra<h4>A.2 Factoring Polynomials and Solving Systems of Equations<h4>A.3 Evaluating Limits with L’Hopital’s Rule<h4>A.4 The Summation Notation