• Chapter 1: Functions
• Section 1.1: Review of Functions
• Section 1.2: Representing Functions
• Section 1.3: Inverse, Exponential, and Logarithmic Functions
• Section 1.4: Trigonometric Functions and Their Inverses

• Chapter 2: Limits
• Section 2.1: The Idea of Limits
• Section 2.2: Definitions of Limits
• Section 2.3: Techniques for Computing Limits
• Section 2.4: Infinite Limits
• Section 2.5: Limits at Infinity
• Section 2.6: Continuity
• Section 2.7: Precise Definitions of Limits

• Chapter 3: Derivatives
• Section 3.1: Introducing the Derivative
• Section 3.2: The Derivative as a Function
• Section 3.3: Rules of Differentiation
• Section 3.4: The Product and Quotient Rules
• Section 3.5: Derivatives of Trigonometric Functions
• Section 3.6: Derivatives as Rates of Change
• Section 3.7: The Chain Rule
• Section 3.8: Implicit Differentiation
• Section 3.9: Derivatives of Logarithmic and Exponential Functions
• Section 3.10: Derivatives of Inverse Trigonometric Functions
• Section 3.11: Related Rates

• Chapter 4: Applications of the Derivative
• Section 4.1: Maxima and Minima
• Section 4.2: Mean Value Theorem
• Section 4.3: What Derivatives Tell Us
• Section 4.4: Graphing Functions
• Section 4.5: Optimization Problems
• Section 4.6: Linear Approximation and Differentials
• Section 4.7: L'Hopital's Rule
• Section 4.8: Newton's Method
• Section 4.9: Antiderivatives

• Chapter 5: Integration
• Section 5.1: Approximating Areas under Curves
• Section 5.2: Definite Integrals
• Section 5.3: Fundamental Theorem of Calculus
• Section 5.4: Working with Integrals
• Section 5.5: Substitution Rule

• Chapter 6: Applications of Integration
• Section 6.1: Velocity and Net Change
• Section 6.2: Regions Between Curves
• Section 6.3: Volume by Slicing
• Section 6.4: Volume by Shells
• Section 6.5: Length of Curves
• Section 6.6: Surface Area
• Section 6.7: Physical Applications
• Chapter 7: Logarithmic, Exponential, and Hyperbolic Functions
• Section 7.1: Logarithmic and Exponential Functions Revisited
• Section 7.2: Exponential Models
• Section 7.3: Hyperbolic Functions

• Chapter 8: Integration Techniques
• Section 8.1: Basic Approaches
• Section 8.2: Integration by Parts
• Section 8.3: Trigonometric Integrals
• Section 8.4: Trigonometric Substitutions
• Section 8.5: Partial Fractions
• Section 8.6: Integration Strategies
• Section 8.7: Other Methods of Integration
• Section 8.8: Numerical Integration
• Section 8.9: Improper Integrals

• Chapter 9: Differential Equations
• Section 9.1: Basic Ideas
• Section 9.2: Direction Fields and Euler's Method
• Section 9.3: Separable Differential Equations
• Section 9.4: Special First-Order Linear Differential Equations
• Section 9.5: Modeling with Differential Equations

• Chapter 10: Sequences and Infinite Series
• Section 10.1: An Overview
• Section 10.2: Sequences
• Section 10.3: Infinite Series
• Section 10.4: The Divergence and Integral Tests
• Section 10.5: Comparison Tests
• Section 10.6: Alternating Series
• Section 10.7: The Ratio and Root Tests
• Section 10.8: Choosing a Convergence Test

• Chapter 11: Power Series
• Section 11.1: Approximating Functions with Polynomials
• Section 11.2: Properties of Power Series
• Section 11.3: Taylor Series
• Section 11.4: Working with Taylor Series

• Chapter 12: Parametric and Polar Curves
• Section 12.1: Parametric Equations
• Section 12.2: Polar Coordinates
• Section 12.3: Calculus in Polar Coordinates
• Section 12.4: Conic Sections
• Chapter 13: Vectors and the Geometry of Space
• Section 13.1: Vectors in the Plane
• Section 13.2: Vectors in Three Dimensions
• Section 13.3: Dot Products
• Section 13.4: Cross Products
• Section 13.5: Lines and Planes in Space
• Section 13.6: Cylinders and Quadric Surfaces

• Chapter 14: Vector-Valued Functions
• Section 14.1: Vector-Valued Functions
• Section 14.2: Calculus of Vector-Valued Functions
• Section 14.3: Motion in Space
• Section 14.4: Length of Curves
• Section 14.5: Curvature and Normal Vectors

• Chapter 15: Functions of Several Variables
• Section 15.1: Graphs and Level Curves
• Section 15.2: Limits and Continuity
• Section 15.3: Partial Derivatives
• Section 15.4: The Chain Rule
• Section 15.5: Directional Derivatives and the Gradient
• Section 15.6: Tangent Planes and Linear Approximation
• Section 15.7: Maximum/Minimum Problems
• Section 15.8: Lagrange Multipliers

• Chapter 16: Multiple Integration
• Section 16.1: Double Integrals over Rectangular Regions
• Section 16.2: Double Integrals over General Regions
• Section 16.3: Double Integrals in Polar Coordinates
• Section 16.4: Triple Integrals
• Section 16.5: Triple Integrals in Cylindrical and Spherical Coordinates
• Section 16.6: Integrals for Mass Calculations
• Section 16.7: Change of Variables in Multiple Integrals

• Chapter 17: Vector Calculus
• Section 17.1: Vector Fields
• Section 17.2: Line Integrals
• Section 17.3: Conservative Vector Fields
• Section 17.4: Green's Theorem
• Section 17.5: Divergence and Curl
• Section 17.6: Surface Integrals
• Section 17.7: Stokes' Theorem
• Section 17.8: Divergence Theorem

• Chapter D2: Second-Order Differential Equations
• Section D2.1: Basic Ideas
• Section D2.2: Linear Homogeneous Equations
• Section D2.3: Linear Nonhomogeneous Equations
• Section D2.4: Applications
• Section D2.5: Complex Forcing Functions

Exercises 1.1.1 -