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• Chapter A: Algebra Review
  • A.1: The Cartesian Coordinate Plane (52)
  • A.2: Linear and Quadratic Functions (38)
  • A.3: Polynomial Functions (31)
  • A.4: Rational Functions (46)
  • A.5: Further Topics in Functions (53)
  • A.6: Exponential and Logarithmic Functions (46)
  • A.7: Hooked on Conics (17)
  • A.8: Systems of Equations and Matrices (24)
  • A.9: Sequences and the Binomial Theorem (24)
  
  
• Chapter T: Trigonometry Review
  • T.1: Foundations of Trigonometry (95)
  • T.2: Applications of Trigonometry (5)
  
  
• Chapter 1: Functions
  • 1.1: Functions and Their Graphs (18)
  • 1.2: Combining Functions; Shifting and Scaling Graphs (25)
  • 1.3: Trigonometric Functions (3)
  • 1.4: Graphing with Calculators and Computers
  • 1.5: Exponential Functions (8)
  • 1.6: Inverse Functions and Logarithms (33)
  
  
• Chapter 2: Limits and Continuity
  • 2.1: Rates of change and Tangents to Curves (7)
  • 2.2: Limit of a Function and Limit Laws (15)
  • 2.3: The Precise Definition of a Limit (2)
  • 2.4: One-Sided Limits (6)
  • 2.5: Continuity (25)
  • 2.6: Limits Involving Infinity; Asymptotes of Graphs (34)
  
  
• Chapter 3: Differentiation
  • 3.1: Tangents and the Derivative at a Point (8)
  • 3.2: The Derivative as a Function (27)
  • 3.3: Differentiation Rules (34)
  • 3.4: The Derivative as a Rate of Change (10)
  • 3.5: Derivatives of Trigonometric Functions (20)
  • 3.6: The Chain Rule (21)
  • 3.7: Implicit Differentiation (11)
  • 3.8: Derivatives of Inverse Functions and Logarithms (27)
  • 3.9: Inverse Trigonometric Functions (5)
  • 3.10: Related Rates (20)
  • 3.11: Linearization and Differentials (12)
  
  
• Chapter 4: Applications of Derivatives
  • 4.1: Extreme Values of Functions (12)
  • 4.2: The Mean Value Theorem (20)
  • 4.3: Monotonic Functions and the First Derivative Test
  • 4.4: Concavity and Curve Sketching (31)
  • 4.5: Indeterminate Forms and L'Hopital's Rule (30)
  • 4.6: Applied Optimization (24)
  • 4.7: Newton's Method (14)
  • 4.8: Antiderivatives (26)
  
  
• Chapter 5: Integration
  • 5.1: Area and Estimating with Finite Sums (4)
  • 5.2: Sigma Notation and Limits of Finite Sums (14)
  • 5.3: The Definite Integral (27)
  • 5.4: The Fundamental Theorem of Calculus (51)
  • 5.5: Indefinite Integrals and the Substitution Method (21)
  • 5.6: Substitution and Area Between curves (43)
  
  
• Chapter 6: Applications of Definite Integrals
  • 6.1: Volumes Using Cross-Sections (18)
  • 6.2: Volumes Using Cylindrical Shells (20)
  • 6.3: Arc Length (11)
  • 6.4: Areas of Surfaces of Revolution (16)
  • 6.5: Work and Fluid Forces (17)
  • 6.6: Moments and Centers of Mass (18)
  
  
• Chapter 7: Integrals and Transcendental Functions
  • 7.1: The Logarithm Defined as an Integral
  • 7.2: Exponential Change and Separable Differential Equations (6)
  • 7.3: Hyperbolic Functions
  • 7.4: Relative Rates of Growth
  
  
• Chapter 8: Techniques of Integration
  • 8.1: Integration by Parts (24)
  • 8.2: Trigonometric Integrals (26)
  • 8.3: Trigonometric Substitutions (11)
  • 8.4: Integration of Rational Functions by Partial Fractions (26)
  • 8.5: Integral Tables and Computer Algebra Systems (16)
  • 8.6: Numerical Integration (10)
  • 8.7: Improper Integrals (16)
  
  
• Chapter 9: First-Order Differential Equations
  • 9.1: Solutions, Slope Fields, and Euler's Method (3)
  • 9.2: First-Order Linear Equations (1)
  • 9.3: Applications
  • 9.4: Graphical Solutions of Autonomous Equations (3)
  • 9.5: Systems of Equations and Phase Planes
  
  
• Chapter 10: Infinite Sequences and Series
  • 10.1: Sequences (30)
  • 10.2: Infinite Series (15)
  • 10.3: The Integral Test (16)
  • 10.4: Comparison Tests (25)
  • 10.5: The Ratio and Root Tests (16)
  • 10.6: Alternating Series, Absolute and Conditional Convergence (28)
  • 10.7: Power Series (36)
  • 10.8: Taylor and Maclaurin Series (19)
  • 10.9: Convergence of Taylor Series (3)
  • 10.10: The Binomial Series and Applications of Taylor Series (10)
  
  
• Chapter 11: Parametric Equations and Polar Coordinates
  • 11.1: Parametrizations of Plane Curves (14)
  • 11.2: Calculus with Parametric Curves (34)
  • 11.3: Polar Coordinates (16)
  • 11.4: Graphing in Polar Coordinates (10)
  • 11.5: Areas and Lengths in Polar Coordinates (18)
  • 11.6: Conic Sections (12)
  • 11.7: Conics in Polar Coordinates (11)