PrefaceCHAPTER O PRELIMINARIES 0.1 The Real Numbers and the Cartesian Plane 0.2 Lines and Functions 0.3 Graphing Calculators and Computer Algebra Systems 0.4 Solving Equations 0.5 Trigonometric Functions 0.6 Exponential and Logarithmic Functions 0.7 Transformations of Functions 0.8 Preview of CalculusCHAPTER 1 LIMITS AND CONTINUITY 1.1 The Concept of Limit 1.2 Computation of Limits 1.3 Continuity and Its Consequences 1.4 Limits Involving Infinity 1.5 Formal Definition of the Limit 1.6 Limits and Loss-of-Significance ErrorsCHAPTER 2 DIFFERENTIATION: ALGEBRAIC, TRIGONOMETRIC, EXPONENTIAL AND LOGARITHMIC FUNCTIONS 2.1 Tangent Lines and Velocity 2.2 The Derivative 2.3 Computation of Derivatives: The Power Rule 2.4 The Product and Quotient Rules 2.5 Derivatives of Trigonometric Functions 2.6 Derivatives of Exponential and Logarithmic Functions 2.7 The Chain Rule 2.8 Implicit Differentiation and Related Rates 2.9 The Mean Value TheoremCHAPTER 3 APPLICATIONS OF DIFFERENTIATION 3.1 Linear Approximations and L'H pital's Rule 3.2 Newton's Method 3.3 Maximum and Minimum Values 3.4 Increasing and Decreasing Functions 3.5 Concavity 3.6 Overview of Curve Sketching 3.7 Optimization 3.8 Rates of Change in ApplicationsCHAPTER 4 INTEGRATION 4.1 Antiderivatives 4.2 Sums and Sigma Notation 4.3 Area 4.4 The Definite Integral 4.5 The Fundamental Theorem of Calculus 4.6 Integration by Substitution 4.7 Numerical IntegrationCHAPTER 5 APPLICATIONS OF THE DEFINITE INTEGRAL 5.1 Area between Curves 5.2 Volume 5.3 Volumes by Cylindrical Shells 5.4 Arc Length and Surface Area 5.5 Projectile Motion 5.6 Work,Moments and Hydrostatic Force 5.7 ProbabilityCHAPTER 6 EXPONENTIALS,LOGARITHMS AND OTHER TRANSCENDENTAL FUNCTIONSCHAPTER 7 INTEGRATION TECHNIQUES