Tabla de contenidos provista por Syndetics

• Note: Chapters 1–10 conclude with an Algebra Review, a Chapter Summary and Study Strategies, Review Exercises, and Sample Post-Graduation Exam Questions. A Word from the Authors (Preface) Features A Plan for You as a Student (Study Strategies)
• 0 A Precalculus Review
• 0.1 The Real Line and Order
• 0.2 Absolute Value and Distance on the Real Line
• 0.3 Exponents and Radicals
• 0.4 Factoring Polynomials
• 0.5 Fractions and Rationalization
• 1 Functions, Graphs, and Limits
• 1.1 The Cartesian Plane and the Distance Formula
• 1.2 Graphs of Equations
• 1.3 Lines in the Plane and Slope
• 1.4 Functions
• 1.5 Limits
• 1.6 Continuity
• 2 Differentiation
• 2.1 The Derivative and the Slope of a Graph
• 2.2 Some Rules for Differentiation
• 2.3 Rates of Change: Velocity and Marginals
• 2.4 The Product and Quotient Rules
• 2.5 The Chain Rule
• 2.6 Higher-Order Derivatives
• 2.7 Implicit Differentiation
• 2.8 Related Rates
• 3 Applications of the Derivative
• 3.1 Increasing and Decreasing Functions
• 3.2 Extrema and the First-Derivative Test
• 3.3 Concavity and the Second-Derivative Test
• 3.4 Optimization Problems
• 3.5 Business and Economics Applications
• 3.6 Asymptotes
• 3.7 Curve Sketching: A Summary
• 3.8 Differentials and Marginal Analysis
• 4 Exponential and Logarithmic Functions
• 4.1 Exponential Functions
• 4.2 Natural Exponential Functions
• 4.3 Derivatives of Exponential Functions
• 4.4 Logarithmic Functions
• 4.5 Derivatives of Logarithmic Functions
• 4.6 Exponential Growth and Decay
• 5 Integration and Its Applications
• 5.1 Antiderivatives and Indefinite Integrals
• 5.2 The General Power Rule
• 5.3 Exponential and Logarithmic Integrals
• 5.4 Area and the Fundamental Theorem of Calculus
• 5.5 The Area of a Region Bounded by Two Graphs
• 5.6 The Definite Integral as the Limit of a Sum
• 5.7 Volumes of Solids of Revolution
• 6 Techniques of Integration
• 6.1 Integration by Substitution
• 6.2 Integration by Parts and Present Value
• 6.3 Partial Fractions and Logistic Growth
• 6.4 Integration Tables and Completing the Square
• 6.5 Numerical Integration
• 6.6 Improper Integrals
• 7 Functions of Several Variables
• 7.1 The Three-Dimensional Coordinate System
• 7.2 Surfaces in Space
• 7.3 Functions of Several Variables
• 7.4 Partial Derivatives
• 7.5 Extrema of Functions of Two Variables
• 7.6 Lagrange Multipliers
• 7.7 Least Squares Regression Analysis
• 7.8 Double Integrals and Area in the Plane
• 7.9 Applications of Double Integrals
• 8 Trigonometric Functions
• 8.1 Radian Measure of Angles
• 8.2 The Trigonometric Functions
• 8.3 Graphs of Trigonometric Functions
• 8.4 Derivatives of Trigonometric Functions
• 8.5 Integrals of Trigonometric Functions
• 8.6 L'Hocirc;pital's Rule
• 9 Probability and Calculus
• 9.1 Discrete Probability
• 9.2 Continuous Random Variables
• 9.3 Expected Value and Variance
• 10 Series and Taylor Polynomials
• 10.1 Sequences
• 10.2 Series and Convergence
• 10.3 p-Series and the Ratio Test
• 10.4 Power Series and Taylor's Theorem
• 10.5 Taylor Polynomials
• 10.6 Newton's Method
• Appendices
• A Alternate Introduction to the Fundamental Theorem of Calculus
• B Formulas
• C Differential Equations
• C.1 Solutions of Differential Equations
• C.2 Separation of Variables
• C.3 First-Order Linear Differential Equations
• C.4 Applications of Differential Equations
• D Properties and Measurement
• E Graphing Utility Programs