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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 (17)
  • 1.2: Combining Functions; Shifting and Scaling Graphs (21)
  • 1.3: Trigonometric Functions (3)
  • 1.4: Graphing with Calculators and Computers (1)
  • 1.5: Exponential Functions (10)
  • 1.6: Inverse Functions and Logarithms (30)
  
  
• Chapter 2: Limits and Continuity
  • 2.1: Rates of Change and Tangents to Curves (7)
  • 2.2: Limit of a Function and Limit Laws (16)
  • 2.3: The Precise Definition of a Limit (1)
  • 2.4: One-Sided Limits (9)
  • 2.5: Continuity (19)
  • 2.6: Limits Involving Infinity; Asymptotes of Graphs (27)
  
  
• Chapter 3: Differentiation
  • 3.1: Tangents and the Derivative at a Point (11)
  • 3.2: The Derivative as a Function (7)
  • 3.3: Differentiation Rules (44)
  • 3.4: The Derivative as a Rate of Change (11)
  • 3.5: Derivatives of Trigonometric Functions (19)
  • 3.6: The Chain Rule (20)
  • 3.7: Implicit Differentiation (11)
  • 3.8: Derivatives of Inverse Functions and Logarithms (26)
  • 3.9: Inverse Trigonometric Functions (4)
  • 3.10: Related Rates (19)
  • 3.11: Linearization and Differentials (17)
  
  
• Chapter 4: Applications of Derivatives
  • 4.1: Extreme Values of Functions (11)
  • 4.2: The Mean Value Theorem (21)
  • 4.3: Monotonic Functions and the First Derivative Test (9)
  • 4.4: Concavity and Curve Sketching (42)
  • 4.5: Indeterminate Forms and L'H™pital's Rule (51)
  • 4.6: Applied Optimization (2)
  • 4.7: Newton's Method (15)
  • 4.8: Antiderivatives (32)
  
  
• Chapter 5: Integration
  • 5.1: Area and Estimating with Finite Sums (13)
  • 5.2: Sigma Notation and Limits of Finite Sums (11)
  • 5.3: The Definite Integral (35)
  • 5.4: The Fundamental Theorem of Calculus (40)
  • 5.5: Indefinite Integrals and the Substitution Rule (12)
  • 5.6: Substitution and Area Between Curves (41)
  
  
• Chapter 6: Applications of Definite Integrals
  • 6.1: Volumes Using Cross-Sections (20)
  • 6.2: Volumes Using Cylindrical Shells (19)
  • 6.3: Arc Length (16)
  • 6.4: Areas of Surfaces of Revolution (15)
  • 6.5: Work (17)
  • 6.6: Moments and Centers of Mass (8)
  
  
• Chapter 7: Integrals and Transcendental Functions
  • 7.1: The Logarithm Defined as an Integral
  • 7.2: Exponential Change and Separable Differential Equations (5)
  • 7.3: Hyperbolic Functions (2)
  
  
• Chapter 8: Techniques of Integration
  • 8.1: Integration by Parts (26)
  • 8.2: Trigonometric Integrals (26)
  • 8.3: Trigonometric Substitutions (18)
  • 8.4: Integration of Rational Functions by Partial Fractions (29)
  • 8.5: Integral Tables and Computer Algebra Systems (17)
  • 8.6: Numerical Integration (12)
  • 8.7: Improper Integrals (12)
  
  
• Chapter 9: Infinite Sequences and Series
  • 9.1: Sequences (30)
  • 9.2: Infinite Series (11)
  • 9.3: The Integral Test (17)
  • 9.4: Comparison Tests (28)
  • 9.5: The Ratio and Root Tests (10)
  • 9.6: Alternating Series, Absolute and Conditional Convergence (31)
  • 9.7: Power Series (22)
  • 9.8: Taylor and Maclaurin Series (25)
  • 9.9: Convergence of Taylor Series (5)
  • 9.10: The Binomial Series and Applications of Taylor Series
  
  
• Chapter 10: Parametric Equations and Polar Coordinates
  • 10.1: Parametrizations of Plane Curves (14)
  • 10.2: Calculus with Parametric Curves (24)
  • 10.3: Polar Coordinates (19)
  • 10.4: Graphing in Polar Coordinates (4)
  • 10.5: Areas and Lengths in Polar Coordinates (13)
  • 10.6: Conics in Polar Coordinates (6)