Calculus, 10th Edition By Ron Larson, Bruce Edwards [PDF] [eBook]

IFC1 IFC2 IFC3 Half Title Title Statement Copyright Contents Preface Additional Resources Acknowledgements Your Course.Your Way. P: Preparation for Calculus P.1 Graphs and Models P.1 Exercises P.2 Linear M ...

IFC1 IFC2 IFC3 Half Title Title Statement Copyright Contents Preface Additional Resources Acknowledgements Your Course.Your Way. P: Preparation for Calculus P.1 Graphs and Models P.1 Exercises P.2 Linear Models and Rates of Change P.2 Exercises P.3 Functions and Their Graphs P.3 Exercises P.4 Fitting Models to Data P.4 Exercises Review Exercises P.S. Problem Solving Ch 1: Limits and Their Properties 1.1 A Preview of Calculus 1.1 Exercises 1.2 Finding Limits Graphically and Numerically 1.2 Exercises 1.3 Evaluating Limits Analytically 1.3 Exercises 1.4 Continuity and One-Sided Limits 1.4 Exercises 1.5 Infinite Limits 1.5 Exercises Review Exercises P.S. Problem Solving Ch 2: Differentiation 2.1 The Derivative and the Tangent Line Problem 2.1 Exercises 2.2 Basic Differentiation Rules and Rates of Change 2.2 Exercises 2.3 Product and Quotient Rules and Higher-Order Derivatives 2.3 Exercises 2.4 The Chain Rule 2.4 Exercises 2.5 Implicit Differentiation 2.5 Exercises 2.6 Related Rates 2.6 Exercises Review Exercises P.S. Problem Solving Ch 3: Applications of Differentiation 3.1 Extrema on an Interval 3.1 Exercises 3.2 Rolle’s Theorem and the Mean Value Theorem 3.2 Exercises 3.3 Increasing and Decreasing Functions and the First Derivative Test 3.3 Exercises 3.4 Concavity and the Second Derivative Test 3.4 Exercises 3.5 Limits at Infinity 3.5 Exercises 3.6 A Summary of Curve Sketching 3.6 Exercises 3.7 Optimization Problems 3.7 Exercises 3.8 Newton’s Method 3.8 Exercises 3.9 Differentials 3.9 Exercises Review Exercises P.S. Problem Solving Ch 4: Integration 4.1 Antiderivatives and Indefinite Integration 4.1 Exercises 4.2 Area 4.2 Exercises 4.3 Riemann Sums and Definite Integrals 4.3 Exercises 4.4 The Fundamental Theorem of Calculus 4.4 Exercises 4.5 Integration by Substitution 4.5 Exercises 4.6 Numerical Integration 4.6 Exercises Review Exercises P.S. Problem Solving Ch 5: Logarithmic, Exponential, and Other Transcendental Functions 5.1 The Natural Logarithmic Function: Differentiation 5.1 Exercises 5.2 The Natural Logarithmic Function: Integration 5.2 Exercises 5.3 Inverse Functions 5.3 Exercises 5.4 Exponential Functions: Differentiation and Integration 5.4 Exercises 5.5 Bases Other than e and Applications 5.5 Exercises 5.6 Inverse Trigonometric Functions: Differentiation 5.6 Exercises 5.7 Inverse Trigonometric Functions: Integration 5.7 Exercises 5.8 Hyperbolic Functions 5.8 Exercises Review Exercises P.S. Problem Solving Ch 6: Differential Equations 6.1 Slope Fields and Euler’s Method 6.1 Exercises 6.2 Differential Equations: Growth and Decay 6.2 Exercises 6.3 Separation of Variables and the Logistic Equation 6.3 Exercises 6.4 First-Order Linear Differential Equations 6.4 Exercises Review Exercises P.S. Problem Solving Ch 7: Applications of Integration 7.1 Area of a Region Between Two Curves 7.1 Exercises 7.2 Volume:The Disk Method 7.2 Exercises 7.3 Volume: The Shell Method 7.3 Exercises 7.4 Arc Length and Surfaces of Revolution 7.4 Exercises 7.5 Work 7.5 Exercises 7.6 Moments, Centers of Mass, and Centroids 7.6 Exercises 7.7 Fluid Pressure and Fluid Force 7.7 Exercises Review Exercises P.S. Problem Solving Ch 8: Integration Techniques, L’Hôpital’s Rule, and Improper Integrals 8.1 Basic Integration Rules 8.1 Exercises 8.2 Integration by Parts 8.2 Exercises 8.3 Trigonometric Integrals 8.3 Exercises 8.4 Trigonometric Substitution 8.4 Exercises 8.5 Partial Fractions 8.5 Exercises 8.6 Integration by Tables and Other Integration Techniques 8.6 Exercises 8.7 Indeterminate Forms and L’Hôpital’s Rule 8.7 Exercises 8.8 Improper Integrals 8.8 Exercises Review Exercises P.S. Problem Solving Ch 9: Infinite Series 9.1 Sequences 9.1 Exercises 9.2 Series and Convergence 9.2 Exercises 9.3 The Integral Test and p-Series 9.3 Exercises 9.4 Comparisons of Series 9.4 Exercises 9.5 Alternating Series 9.5 Exercises 9.6 The Ratio and Root Tests 9.6 Exercises 9.7 Taylor Polynomials and Approximations 9.7 Exercises 9.8 Power Series 9.8 Exercises 9.9 Representation of Functions by Power Series 9.9 Exercises 9.10 Taylor and Maclaurin Series 9.10 Exercises Review Exercises P.S. Problem Solving Ch 10: Conics, Parametric Equations, and Polar Coordinates 10.1 Conics and Calculus 10.1 Exercises 10.2 Plane Curves and Parametric Equations 10.2 Exercises 10.3 Parametric Equations and Calculus 10.3 Exercises 10.4 Polar Coordinates and Polar Graphs 10.4 Exercises 10.5 Area and Arc Length in Polar Coordinates 10.5 Exercises 10.6 Polar Equations of Conics and Kepler’s Laws 10.6 Exercises Review Exercises P.S. Problem Solving Ch 11: Vectors and the Geometry of Space 11.1 Vectors in the Plane 11.1 Exercises 11.2 Space Coordinates and Vectors in Space 11.2 Exercises 11.3 The Dot Product of Two Vectors 11.3 Exercises 11.4 The Cross Product of Two Vectors in Space 11.4 Exercises 11.5 Lines and Planes in Space 11.5 Exercises 11.6 Surfaces in Space 11.6 Exercises 11.7 Cylindrical and Spherical Coordinates 11.7 Exercises Review Exercises P.S. Problem Solving Ch 12: Vector-Valued Functions 12.1 Vector-Valued Functions 12.1 Exercises 12.2 Differentiation and Integration of Vector-Valued Functions 12.2 Exercises 12.3 Velocity and Acceleration 12.3 Exercises 12.4 Tangent Vectors and Normal Vectors 12.4 Exercises 12.5 Arc Length and Curvature 12.5 Exercises Review Exercises P.S. Problem Solving Ch 13: Functions of Several Variables 13.1 Introduction to Functions of Several Variables 13.1 Exercises 13.2 Limits and Continuity 13.2 Exercises 13.3 Partial Derivatives 13.3 Exercises 13.4 Differentials 13.4 Exercises 13.5 Chain Rules for Functions of Several Variables 13.5 Exercises 13.6 Directional Derivatives and Gradients 13.6 Exercises 13.7 Tangent Planes and Normal Lines 13.7 Exercises 13.8 Extrema of Functions of Two Variables 13.8 Exercises 13.9 Applications of Extrema 13.9 Exercises 13.10 Lagrange Multipliers 13.10 Exercises Review Exercises P.S. Problem Solving Ch 14: Multiple Integration 14.1 Iterated Integrals and Area in the Plane 14.1 Exercises 14.2 Double Integrals and Volume 14.2 Exercises 14.3 Change of Variables: Polar Coordinates 14.3 Exercises 14.4 Center of Mass and Moments of Inertia 14.4 Exercises 14.5 Surface Area 14.5 Exercises 14.6 Triple Integrals and Applications 14.6 Exercises 14.7 Triple Integrals in Other Coordinates 14.7 Exercises 14.8 Change of Variables: Jacobians 14.8 Exercises Review Exercises P.S. Problem Solving Ch 15: Vector Analysis 15.1 Vector Fields 15.1 Exercises 15.2 Line Integrals 15.2 Exercises 15.3 Conservative Vector Fields and Independence of Path 15.3 Exercises 15.4 Green’s Theorem 15.4 Exercises 15.5 Parametric Surfaces 15.5 Exercises 15.6 Surface Integrals 15.6 Exercises 15.7 Divergence Theorem 15.7 Exercises 15.8 Stokes’s Theorem 15.8 Exercises Review Exercises P.S. Problem Solving Appendices A: Proofs of Selected Theorems B: Integration Tables Answers to Odd-Numbered Exercises Index IBC1 IBC2 IBC3 IBC4