Table of Contents

      Chapter 1 Review                                                                                                                                 page 1

      Sections 2.1 and 2.2  Limits and Continuity                                                                                page 16

      Section 2.3  Average Rate of Change                                                                                           page 28

      Section 2.4  Differentiation Using Limits                                                                                      page 32

      Section 2.5  Techniques of Differentiation                                                                                  page 39

      Section 2.6  Instantaneous Rate of Change                                                                               page 44

      Section 2.7  The Product and Quotient Rules                                                                            page 49

      Section 2.8  The Chain Rule                                                                                                            page 55

      Section 2.9  Higher-Order Derivatives                                                                                          page 60

      Section 3.1  The First Derivative Test                                                                                           page 62

      Section 3.2  The Second Derivative Test and Concavity                                                        page 68

      Section 3.3  Limits Involving Infinity  Asymptotes                                                                    page 76

      Sections 3.4 and 3.5  Optimization Problems                                                                           page 103

      Section 3.6  Marginal Analysis                                                                                                     page 115

      Section 4.1  Exponential Functions                                                                                            page 121

      Section 4.2  Logarithmic Functions and Applications                                                          page 134

      Section 4.3 through 4.5  Additional Exponential Models                                                      page 150

      Section 4.6  Elasticity of Demand                                                                                               page 160

      Section 5.1  Integration                                                                                                                  page 163

      Section 5.2  Area and Definite Integrals                                                                                    page 172

      Section 5.3  Limits of Sums and Accumulations                                                                    page 178

      Section 5.4  Properties of Definite Integrals                                                                             page 185

      Section 5.5  Integration by Substitution                                                                                    page 190

      Section 5.6  Integration by Parts                                                                                                 page 198

      Section 5.7  Integration Using Tables                                                                                        page 207

      Section 6.1  Consumer's and Producer's Surplus                                                                 page 214

      Section 6.2  More Applications                                                                                                    page 220

      Section 6.3  Improper Integrals                                                                                                    page 228

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