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• Chapter A: Algebra Review
  • A.1: The Cartesian Coordinate Plane (52)
  • A.2: Linear and Quadratic Functions (36)
  • 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 (25)
  • 1.2: Combining Functions; Shifting and Scaling Graphs (14)
  • 1.3: Trigonometric Functions
  • 1.4: Exponential Functions
  • 1.5: Inverse Functions and Logarithms (29)
  • 1.6: Graphing with Calculators and Computers
  
  
• Chapter 2: Limits and Continuity
  • 2.1: Rates of Change and Tangents to Curves (5)
  • 2.2: Limit of a Function and Limit Laws (14)
  • 2.3: The Precise Definition of a Limit (1)
  • 2.4: One-Sided Limits and Limits at Infinity (19)
  • 2.5: Infinite Limits and Vertical Asymptotes (21)
  • 2.6: Continuity (18)
  • 2.7: Tangents and Derivatives at a Point (8)
  • 2: Questions to Guide Your Review
  • 2: Practice Exercises
  • 2: Additional and Advanced Exercises
  
  
• Chapter 3: Differentiation
  • 3.1: The Derivative as a Function (14)
  • 3.2: Differentiation Rules for Polynomials, Exponentials, Products and Quotients (37)
  • 3.3: The Derivative as a Rate of Change (6)
  • 3.4: Derivatives of Trigonometric Functions (11)
  • 3.5: The Chain Rule and Parametric Equations (30)
  • 3.6: Implicit Differentiation (8)
  • 3.7: Derivatives of Inverse Functions and Logarithms (27)
  • 3.8: Inverse Trigonometric Functions (6)
  • 3.9: Related Rates (16)
  • 3.10: Linearization and Differentials (15)
  • 3.11: Hyperbolic Functions
  • 3: Questions to Guide Your Review
  • 3: Practice Exercises
  • 3: Additional and Advanced Exercises
  
  
• Chapter 4: Applications of Derivatives
  • 4.1: Extreme Values of Functions (3)
  • 4.2: The Mean Value Theorem (20)
  • 4.3: Monotonic Functions and the First Derivative Test (8)
  • 4.4: Concavity and Curve Sketching (22)
  • 4.5: Applied Optimization (23)
  • 4.6: Indeterminate Forms and L'Hopital's Rule (31)
  • 4.7: Newton's Method (14)
  • 4.8: Antiderivatives (24)
  • 4: Questions to Guide Your Review
  • 4: Practice Exercises
  • 4: Additional and Advanced Exercises
  
  
• Chapter 5: Integration
  • 5.1: Estimating with Finite Sums (10)
  • 5.2: Sigma Notation and Limits of Finite Sums (3)
  • 5.3: The Definite Integral (27)
  • 5.4: The Fundamental Theorem of Calculus (11)
  • 5.5: Indefinite Integrals and the Substitution Rule (9)
  • 5.6: Substitution and Area Between Curves (50)
  • 5.7: The Logarithm Defined as an Integral
  • 5: Questions to Guide Your Review
  • 5: Practice Exercises
  • 5: Additional and Advanced Exercises
  
  
• Chapter 6: Applications of Definite Integrals
  • 6.1: Volumes by Slicing and Rotation About an Axis (20)
  • 6.2: Volumes by Cylindrical Shells (20)
  • 6.3: Lengths of Plane Curves (21)
  • 6.4: Areas of Surfaces of Revolution (15)
  • 6.5: Exponential Change and Separable Differential Equations (5)
  • 6.6: Work (21)
  • 6.7: Moments and Centers of Mass (3)
  • 6: Questions to Guide Your Review
  • 6: Practice Exercises
  • 6: Additional and Advanced Exercises
  
  
• Chapter 7: Techniques of Integration
  • 7.1: Integration by Parts (23)
  • 7.2: Trigonometric Integrals (26)
  • 7.3: Trigonometric Substitutions (17)
  • 7.4: Integration of Rational Functions by Partial Fractions (26)
  • 7.5: Integral Tables and Computer Algebra Systems (15)
  • 7.6: Numerical Integration (9)
  • 7.7: Improper Integrals (13)
  • 7: Questions to Guide Your Review
  • 7: Practice Exercises
  • 7: Additional and Advanced Exercises
  
  
• Chapter 8: Infinite Sequences and Series
  • 8.1: Sequences (26)
  • 8.2: Infinite Series (14)
  • 8.3: The Integral Test (17)
  • 8.4: Comparison Tests (28)
  • 8.5: The Ration and Root Tests (12)
  • 8.6: Alternating Series, Absolute and Conditional Convergence (32)
  • 8.7: Power Series (22)
  • 8.8: Taylor Maclaurin Series (26)
  • 8.9: Convergence of Taylor Series (9)
  • 8.10: The Binomial Series
  • 8: Questions to Guide Your Review
  • 8: Practice Exercises
  • 8: Additional and Advanced Exercises
  
  
• Chapter 9: Polar Coordinates and Conics
  • 9.1: Polar Coordinates (19)
  • 9.2: Graphing in Polar Coordinates (5)
  • 9.3: Areas and Lengths in Polar Coordinates (13)
  • 9.4: Conic Sections (12)
  • 9.5: Conics in Polar Coordinates (6)
  • 9.6: Conics and Parametric Equations; The Cycloid (16)
  • 9: Questions to Guide Your Review
  • 9: Practice Exercises
  • 9: Additional and Advanced Exercises