[eBook] [PDF] Calculus of a Single Variable, 10th Edition By Ron Larson, Bruce Edwards

Contents Preface Additional Resources Acknowledgements Your Course. Your Way. Ch P: Preparation for Calculus P.1 Graphs and Models P.2 Linear Models and Rates of Change P.3 Functions and Their Graphs P.4 Fitting ...

Contents Preface Additional Resources Acknowledgements Your Course. Your Way. Ch P: Preparation for Calculus P.1 Graphs and Models P.2 Linear Models and Rates of Change P.3 Functions and Their Graphs P.4 Fitting Models to Data Review Exercises P.S. Problem Solving Ch 1: Limits and Their Properties 1.1 A Preview of Calculus 1.2 Finding Limits Graphically and Numerically 1.3 Evaluating Limits Analytically 1.4 Continuity and One-Sided Limits 1.5 Infinite Limits Review Exercises P.S. Problem Solving Ch 2: Differentiation 2.1 The Derivative and the Tangent Line Problem 2.2 Basic Differentiation Rules and Rates of Change 2.3 Product and Quotient Rules and Higher-Order Derivatives 2.4 The Chain Rule 2.5 Implicit Differentiation 2.6 Related Rates Review Exercises P.S. Problem Solving Ch 3: Applications of Differentiation 3.1 Extrema on an Interval 3.2 Rolle's Theorem and the Mean Value Theorem 3.3 Increasing and Decreasing Functions and the First Derivative Test 3.4 Concavity and the Second Derivative Test 3.5 Limits at Infinity 3.6 A Summary of Curve Sketching 3.7 Optimization Problems 3.8 Newton's Method 3.9 Differentials Review Exercises P.S. Problem Solving Ch 4: Integration 4.1 Antiderivatives and Indefinite Integration 4.2 Area 4.3 Riemann Sums and Definite Integrals 4.4 The Fundamental Theorem of Calculus 4.5 Integration by Substitution 4.6 Numerical Integration Review Exercises P.S. Problem Solving Ch 5: Logarithmic, Exponential, and Other Transcendental Functions 5.1 The Natural Logarithmic Function: Differentiation 5.2 The Natural Logarithmic Function: Integration 5.3 Inverse Functions 5.4 Exponential Functions: Differentiation and Integration 5.5 Bases Other Than e and Applications 5.6 Inverse Trigonometric Functions: Differentiation 5.7 Inverse Trigonometric Functions: Integration 5.8 Hyperbolic Functions Review Exercises P.S. Problem Solving Ch 6: Differential Equations 6.1 Slope Fields and Euler's Method 6.2 Differential Equations: Growth and Decay 6.3 Separation of Variables and the Logistic Equation 6.4 First-Order Linear Differential Equations Review Exercises P.S. Problem Solving Ch 7: Applications of Integration 7.1 Area of a Region between Two Curves 7.2 Volume: The Disk Method 7.3 Volume: The Shell Method 7.4 Arc Length and Surfaces of Revolution 7.5 Work 7.6 Moments, Centers of Mass, and Centroids 7.7 Fluid Pressure and Fluid Force Review Exercises P.S. Problem Solving Ch 8: Integration Techniques, L'Hopital's Rule, and Improper Integrals 8.1 Basic Integration Rules 8.2 Integration by Parts 8.3 Trigonometric Integrals 8.4 Trigonometric Substitution 8.5 Partial Fractions 8.6 Integration by Tables and Other Integration Techniques 8.7 Indeterminate Forms and L'Hopital's Rule 8.8 Improper Integrals Review Exercises P.S. Problem Solving Ch 9: Infinite Series 9.1 Sequences 9.2 Series and Convergence 9.3 The Integral Test and p-Series 9.4 Comparisons of Series 9.5 Alternating Series 9.6 The Ratio and Root Tests 9.7 Taylor Polynomials and Approximations 9.8 Power Series 9.9 Representation of Functions by Power Series 9.10 Taylor and Maclaurin Series Review Exercises P.S. Problem Solving Ch 10: Conics, Parametric Equations, and Polar Coordinates 10.1 Conics and Calculus 10.2 Plane Curves and Parametric Equations 10.3 Parametric Equations and Calculus 10.4 Polar Coordinates and Polar Graphs 10.5 Area and Arc Length in Polar Coordinates 10.6 Polar Equations of Conics and Kepler's Laws Review Exercises P.S. Problem Solving Appendices Appendix A: Proofs of Selected Theorems Appendix B: Integration Tables Answers to Odd-Numbered Exercises Index