Calculus – Ron Larson – 11th Edition

Chapter 1: Limits and Their Properties
1.1: A Preview of Calculus (23)
1.2: Finding Limits Graphically and Numerically (74)
1.3: Evaluating Limits Analytically (71)
1.4: Continuity and One-Sided Limits (65)
1.5: Infinite Limits (60)
1: Review Exercises (50)
1: Problem Solving

Chapter 2: Differentiation
2.1: The Derivative and the Tangent Line Problem (67)
2.2: Basic Differentiation Rules and Rates of Change (76)
2.3: Product and Quotient Rules and Higher-Order Derivatives (78)
2.4: The Chain Rule (73)
2.5: Implicit Differentiation (58)
2.6: Related Rates (56)
2: Review Exercises (47)
2: Problem Solving

Chapter 3: Applications of Differentiation
3.1: Extrema on an Interval (57)
3.2: Rolle's Theorem and the Mean Value Theorem (67)
3.3: Increasing and Decreasing Functions and the First Derivative Test (64)
3.4: Concavity and the Second Derivative Test (64)
3.5: Limits at Infinity (71)
3.6: A Summary of Curve Sketching (64)
3.7: Optimization Problems (65)
3.8: Newton's Method (48)
3.9: Differentials (51)
3: Review Exercises (50)
3: Problem Solving

Chapter 4: Integration
4.1: Antiderivatives and Indefinite Integration (81)
4.2: Area (78)
4.3: Riemann Sums and Definite Integrals (64)
4.4: The Fundamental Theorem of Calculus (111)
4.5: Integration by Substitution (83)
4: Review Exercises (50)
4: Problem Solving

Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions
5.1: The Natural Logarithmic Function: Differentiation (70)
5.2: The Natural Logarithmic Function: Integration (85)
5.3: Inverse Functions (66)
5.4: Exponential Functions: Differentiation and Integration (85)
5.5: Bases Other than e and Applications (80)
5.6: Indeterminate Forms and L'Hôpital's Rule (77)
5.7: Inverse Trigonometric Functions: Differentiation (68)
5.8: Inverse Trigonometric Functions: Integration (86)
5.9: Hyperbolic Functions (90)
5: Review Exercises (68)
5: Problem Solving

Chapter 6: Differential Equations
6.1: Slope Fields and Euler's Method (70)
6.2: Growth and Decay (75)
6.3: Separation of Variables and the Logistic Equation (86)
6.4: First-Order Linear Differential Equations (70)
6: Review Exercises (47)
6: Problem Solving

Chapter 7: Applications of Integration
7.1: Area of a Region Between Two Curves (83)
7.2: Volume: The Disk Method (81)
7.3: Volume: The Shell Method (57)
7.4: Arc Length and Surfaces of Revolution (65)
7.5: Work (45)
7.6: Moments, Centers of Mass, and Centroids (59)
7.7: Fluid Pressure and Fluid Force (27)
7: Review Exercises (46)
7: Problem Solving

Chapter 8: Integration Techniques and Improper Integrals
8.1: Basic Integration Rules (71)
8.2: Integration by Parts (77)
8.3: Trigonometric Integrals (62)
8.4: Trigonometric Substitution (69)
8.5: Partial Fractions (55)
8.6: Numerical Integration (66)
8.7: Integration by Tables and Other Integration Techniques (65)
8.8: Improper Integrals (77)
8: Review Exercises (50)
8: Problem Solving

Chapter 9: Infinite Series
9.1: Sequences (51)
9.2: Series and Convergence (49)
9.3: The Integral Test and p-Series (41)
9.4: Comparisons of Series (36)
9.5: Alternating Series (55)
9.6: The Ratio and Root Tests (47)
9.7: Taylor Polynomials and Approximations (38)
9.8: Power Series (40)
9.9: Representation of Functions by Power Series (38)
9.10: Taylor and Maclaurin Series (44)
9: Review Exercises (64)
9: Problem Solving

Chapter 10: Conics, Parametric Equations, and Polar Coordinates
10.1: Conics and Calculus (63)
10.2: Plane Curves and Parametric Equations (44)
10.3: Parametric Equations and Calculus (57)
10.4: Polar Coordinates and Polar Graphs (60)
10.5: Area and Arc Length in Polar Coordinates (55)
10.6: Polar Equations of Conics and Kepler's Laws (42)
10: Review Exercises (50)
10: Problem Solving

Chapter 11: Vectors and the Geometry of Space
11.1: Vectors in the Plane (53)
11.2: Space Coordinates and Vectors in Space (66)
11.3: The Dot Product of Two Vectors (53)
11.4: The Cross Product of Two Vectors in Space (43)
11.5: Lines and Planes in Space (67)
11.6: Surfaces in Space (45)
11.7: Cylindrical and Spherical Coordinates (62)
11: Review Exercises (49)
11: Problem Solving

Chapter 12: Vector-Valued Functions
12.1: Vector-Valued Functions (50)
12.2: Differentiation and Integration of Vector-Valued Functions (52)
12.3: Velocity and Acceleration (49)
12.4: Tangent Vectors and Normal Vectors (60)
12.5: Arc Length and Curvature (55)
12: Review Exercises (49)
12: Problem Solving

Chapter 13: Functions of Several Variables
13.1: Introduction to Functions of Several Variables (47)
13.2: Limits and Continuity (47)
13.3: Partial Derivatives (60)
13.4: Differentials (44)
13.5: Chain Rules for Functions of Several Variables (42)
13.6: Directional Derivatives and Gradients (55)
13.7: Tangent Planes and Normal Lines (44)
13.8: Extrema of Functions of Two Variables (53)
13.9: Applications of Extrema (51)
13.10: Lagrange Multipliers (42)
13: Review Exercises (50)
13: Problem Solving

Chapter 14: Multiple Integration
14.1: Iterated Integrals and Area in the Plane (61)
14.2: Double Integrals and Volume (54)
14.3: Change of Variables: Polar Coordinates (47)
14.4: Center of Mass and Moments of Inertia (46)
14.5: Surface Area (40)
14.6: Triple Integrals and Applications (48)
14.7: Triple Integrals in Other Coordinates (43)
14.8: Change of Variables: Jacobians (42)
14: Review Exercises (50)
14: Problem Solving

Chapter 15: Vector Analysis
15.1: Vector Fields (49)
15.2: Line Integrals (50)
15.3: Conservative Vector Fields and Independence of Path (46)
15.4: Green's Theorem (45)
15.5: Parametric Surfaces (43)
15.6: Surface Integrals (43)
15.7: Divergence Theorem (34)
15.8: Stokes's Theorem (34)
15: Review Exercises (50)
15: Problem Solving

Chapter 16: Additional Topics in Differential Equations (Online)
16.1: Exact First-Order Equations (48)
16.2: Second-Order Homogeneous Linear Equations (48)
16.3: Second-Order Nonhomogeneous Linear Equations (45)
16.4: Series Solutions of Differential Equations (27)
16: Review Exercises (50)
16: Problem Solving

Appendices
Appendix A: Proofs of Selected Theorems
Appendix B: Integration Tables
Appendix C: Precalculus Review (Online)
Appendix D: Rotation and the General Second-Degree Equation (Online)
Appendix E: Complex Numbers (Online)
Appendix F: Business and Economic Applications (Online)
Appendix G: Fitting Models to Data (Online) (31)