CHAPTER 0 Review of Algebra 0.1 Sets of Real Numbers 0.2 Some Properties of RealNumbers 0.3 Exponents and Radicals 0.4 Operations with AlgebraicExpressions 0.5 Factoring 0.6 Fractions 0.7 Equations, in ParticularLinear Equations 0.8 Quadratic Equations Chapter 0 Review   CHAPTER 1 Applications and MoreAlgebra 1.1 Applications of Equations 1.2 Linear Inequalities 1.3 Applications of Inequalities 1.4 Absolute Value 1.5 Summation Notation 1.6 Sequences Chapter 1 Review   CHAPTER 2 Functions and Graphs 2.1 Functions 2.2 Special Functions 2.3 Combinations of Functions 2.4 Inverse Functions 2.5 Graphs in RectangularCoordinates 2.6 Symmetry 2.7 Translations and Reflections 2.8 Functions of Several Variables Chapter 2 Review   CHAPTER 3 Lines, Parabolas, andSystems 3.1 Lines 3.2 Applications and LinearFunctions 3.3 Quadratic Functions 3.4 Systems of Linear Equations 3.5 Nonlinear Systems 3.6 Applications of Systems ofEquations Chapter 3 Review   CHAPTER 4 Exponential and LogarithmicFunctions 4.1 Exponential Functions 4.2 Logarithmic Functions 4.3 Properties of Logarithms 4.4 Logarithmic and ExponentialEquations Chapter 4 Review   PART II FINITE MATHEMATICS   CHAPTER 5 Mathematics of Finance 5.1 Compound Interest 5.2 Present Value 5.3 Interest CompoundedContinuously 5.4 Annuities 5.5 Amortization of Loans 5.6 Perpetuities Chapter 5 Review   CHAPTER 6 Matrix Algebra 6.1 Matrices 6.2 Matrix Addition and ScalarMultiplication 6.3 Matrix Multiplication 6.4 Solving Systems by ReducingMatrices 6.5 Solving Systems by ReducingMatrices (continued) 6.6 Inverses 6.7 Leontief's Input--OutputAnalysis Chapter 6 Review   CHAPTER 7 Linear Programming 7.1 Linear Inequalities in TwoVariables 7.2 Linear Programming 7.3 The Simplex Method 7.4 Artificial Variables 7.5 Minimization 7.6 The Dual Chapter 7 Review   CHAPTER 8 Introduction toProbability and Statistics 8.1 Basic Counting Principle andPermutations 8.2 Combinations and OtherCounting Principles 8.3 Sample Spaces and Events 8.4 Probability 8.5 Conditional Probability andStochastic Processes 8.6 Independent Events 8.7 Bayes' Formula Chapter 8 Review   CHAPTER 9 Additional Topics inProbability 9.1 Discrete Random Variables andExpected Value 9.2 The Binomial Distribution 9.3 Markov Chains Chapter 9 Review   PART III CALCULUS   CHAPTER 10 Limits and Continuity 10.1 Limits 10.2 Limits (Continued) 10.3 Continuity 10.4 Continuity Applied toInequalities Chapter 10 Review   CHAPTER 11 Differentiation 11.1 The Derivative 11.2 Rules for Differentiation 11.3 The Derivative as a Rate ofChange 11.4 The Product Rule and theQuotient Rule 11.5 The Chain Rule Chapter 11 Review   CHAPTER 12 AdditionalDifferentiation Topics 12.1 Derivatives of LogarithmicFunctions 12.2 Derivatives of ExponentialFunctions 12.3 Elasticity of Demand 12.4 Implicit Differentiation 12.5 Logarithmic Differentiation 12.6 Newton's Method 12.7 Higher-Order Derivatives Chapter 12 Review   CHAPTER 13 Curve Sketching 13.1 Relative Extrema 13.2 Absolute Extrema on a ClosedInterval 13.3 Concavity 13.4 The Second-Derivative Test 13.5 Asymptotes 13.6 Applied Maxima and Minima Chapter 13 Review   CHAPTER 14 Integration 14.1 Differentials 14.2 The Indefinite Integral 14.3 Integration with InitialConditions 14.4 More Integration Formulas 14.5 Techniques of Integration 14.6 The Definite Integral 14.7 The Fundamental Theorem ofCalculus Chapter 14 Review   CHAPTER 15 Applications ofIntegration 15.1 Integration by Tables 15.2 Approximate Integration 15.3 Area Between Curves 15.4 Consumers' and Producers'Surplus 15.5 Average Value of a Function 15.6 Differential Equations 15.7 More Applications ofDifferential Equations 15.8 Improper Integrals Chapter 15 Review   CHAPTER 16 Continuous RandomVariables 16.1 Continuous Random Variables 16.2 The Normal Distribution 16.3 The Normal Approximation tothe Binomial Distribution Chapter 16 Review   CHAPTER 17 Multivariable Calculus 17.1 Partial Derivatives 17.2 Applications of PartialDerivatives 17.3 Higher-Order Partial Derivatives 17.4 Maxima and Minima forFunctions of Two Variables 17.5 Lagrange Multipliers 17.6 Multiple Integrals Chapter 17 Review   APPENDIX A Compound InterestTables APPENDIX B Table of SelectedIntegrals APPENDIX C Areas Under theStandard Normal Curve

· Applications An abundanceand variety of real-world applications appear throughout the book so thatstudents see how mathematics is applied to everyday and work-relatedsituations. These applications cover such diverse areas as business, economics,biology, medicine, sociology, psychology, ecology, statistics, earth science,and archaeology. · Now Work Problem NAfter a worked example, students are directed to an end-of-section problem(labeled with a colored exercise number) that reinforces the ideas of theexample, giving students an opportunity to practice what they have justlearned. · Cautions Cautionarywarnings are presented in very much the same way an instructor would warnstudents of common errors. These warnings appear in the margin, along withother explanatory notes and emphases. · Examples andExercises More than 850 examples are workedout in detail, some including strategies that guide students through the stepsof solving instead of having them simply apply a memorized model or formula.There are over 500 diagrams that illustrate and clarify concepts and over 5,000exercises for students to practice and reinforce their understanding of theconcepts; more than 30% of these have been either updated or are completelynew. MyLab®Math is not included.Students, if MyLab Math is a recommended/mandatory component of the course,please ask your instructor for the correct ISBN. MyLab Math should only bepurchased when required by an instructor. Instructors, contact your Pearsonrepresentative for more information.