Calculus for the AP Course 2nd edition

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Michael Sullivan and Kathleen Miranda
Publisher: W. H. Freeman

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  • Chapter P: Preparing for Calculus
    • P.1: Functions and Their Graphs
    • P.2: Library of Functions; Mathematical Modeling
    • P.3: Operations on Functions; Graphing Techniques
    • P.4: Inverse Functions
    • P.5: Exponential and Logarithmic Functions
    • P.6: Trigonometric Functions
    • P.7: Inverse Trigonometric Functions
    • P.8: Sequences; Summation Notation; the Binomial Theorem

  • Chapter 1: Limits and Continuity
    • 1.1: Limits of Functions Using Numerical and Graphical Techniques
    • 1.2: Limits of Functions Using Properties of Limits
    • 1.3: Continuity
    • 1.4: Limits and Continuity of Trigonometric, Exponential, and Logarithmic Functions
    • 1.5: Infinite Limits; Limits at Infinity; Asymptotes
    • 1.6: The ε–δ Definition of a Limit
    • 1: Chapter Review
    • 1: Chapter Project: Pollution in Clear Lake

  • Chapter 2: The Derivative
    • 2.1: Rates of Change and the Derivative
    • 2.2: The Derivative as a Function
    • 2.3: The Derivative of a Polynomial Function; The Derivative of y = ex
    • 2.4: Differentiating the Product and the Quotient of Two Functions; Higher-Order Derivatives
    • 2.5: The Derivative of the Trigonometric Functions
    • 2: Chapter Review
    • 2: Chapter Project: The Lunar Module

  • Chapter 3: More About Derivatives
    • 3.1: The Chain Rule
    • 3.2: Implicit Differentiation
    • 3.3: Derivatives of the Inverse Trigonometric Functions
    • 3.4: Derivatives of Logarithmic Functions
    • 3.5: Differentials; Linear Approximations; Newton's Method
    • 3.6: Hyperbolic Functions
    • 3: Chapter Review
    • 3: Chapter Project: World Population

  • Chapter 4: Applications of the Derivative
    • 4.1: Related Rates
    • 4.2: Maximum and Minimum Values; Critical Numbers
    • 4.3: The Mean Value Theorem
    • 4.4: Local Extrema and Concavity
    • 4.5: Indeterminate Forms and L'Hôpital's Rule
    • 4.6: Using Calculus to Graph Functions
    • 4.7: Optimization
    • 4.8: Antiderivatives; Differential Equations
    • 4: Chapter Review
    • 4: Chapter Project: The U.S. Economy

  • Chapter 5: The Integral
    • 5.1: Area
    • 5.2: The Definite Integral
    • 5.3: The Fundamental Theorem of Calculus
    • 5.4: Properties of the Definite Integral
    • 5.5: The Indefinite Integral; Method of Substitution
    • 5.6: Uninhibited and Inhibited Growth and Decay Models
    • 5.7: Separable First-Order Differential Equations; Slope Fields; Euler's Method
    • 5: Chapter Review
    • 5: Chapter Project: Managing the Klamath River

  • Chapter 6: Applications of the Integral
    • 6.1: Area Between Graphs
    • 6.2: Volume of a Solid of Revolution: Disks and Washers
    • 6.3: Volume of a Solid of Revolution: Cylindrical Shells
    • 6.4: Volume of a Solid: Slicing
    • 6.5: Arc Length; Surface Area of a Solid of Revolution
    • 6.6: Work
    • 6.7: Hydrostatic Pressure and Force
    • 6.8: Center of Mass; Centroid; The Pappus Theorem
    • 6: Chapter Review
    • 6: Chapter Project: Determining the Amount of Concrete Needed for a Cooling Tower

  • Chapter 7: Techniques of Integration
    • 7.1: Integration by Parts
    • 7.2: Integrals Containing Trigonometric Functions
    • 7.3: Integration Using Trigonometric Substitution: Integrands Containing a2 - x2 , x2 + a2, or x2 - a2, a > 0
    • 7.4: Integrands Containing ax2 + bx + c
    • 7.5: Integration of Rational Functions Using Partial Fractions; the Logistic Model
    • 7.6: Approximating Integrals: The Trapezoidal Rule, Trapezoidal Sums, Simpson's Rule
    • 7.7: Improper Integrals
    • 7.8: Integration Using Tables and Computer Algebra Systems
    • 7: Chapter Review
    • 7: Chapter Project: The Birds of Rügen Island

  • Chapter 8: Infinite Series
    • 8.1: Sequences
    • 8.2: Infinite Series
    • 8.3: Properties of Series; Series with Positive Terms; the Integral Test
    • 8.4: Comparison Tests
    • 8.5: Alternating Series; Absolute Convergence
    • 8.6: Ratio Test; Root Test
    • 8.7: Summary of Tests
    • 8.8: Power Series
    • 8.9: Taylor Series; Maclaurin Series
    • 8.10: Approximations Using Taylor/Maclaurin Expansions
    • 8: Chapter Review
    • 8: Chapter Project: How Calculators Calculate

  • Chapter 9: Parametric Equations; Polar Equations
    • 9.1: Parametric Equations
    • 9.2: Tangent Lines
    • 9.3: Arc Length; Surface Area of a Solid of Revolution
    • 9.4: Polar Coordinates
    • 9.5: Polar Equations; Parametric Equations of Polar Equations; Arc Length of Polar Equations
    • 9.6: Area in Polar Coordinates
    • 9.7: The Polar Equation of a Conic
    • 9: Chapter Review
    • 9: Chapter Project: Polar Graphs and Microphones

  • Chapter 10: Vectors; Lines, Planes, and Quadric Surfaces in Space
    • 10.1: Rectangular Coordinates in Space
    • 10.2: Introduction to Vectors
    • 10.3: Vectors in the Plane and in Space
    • 10.4: The Dot Product
    • 10.5: The Cross Product
    • 10.6: Equations of Lines and Planes in Space
    • 10.7: Quadric Surfaces
    • 10: Chapter Review
    • 10: Chapter Project: The Hall Effect

  • Chapter 11: Vector Functions
    • 11.1: Vector Functions and Their Derivatives
    • 11.2: Unit Tangent and Principal Unit Normal Vectors; Arc Length
    • 11.3: Arc Length as Parameter; Curvature
    • 11.4: Motion Along a Curve
    • 11.5: Integrals of Vector Functions; Projectile Motion
    • 11.6: Application: Kepler's Laws of Planetary Motion
    • 11: Chapter Review
    • 11: Chapter Project: How to Design a Safe Road

  • Chapter A: Precalculus Used in Calculus
    • A.1: Algebra Used in Calculus
    • A.2: Geometry Used in Calculus
    • A.3: Analytic Geometry Used in Calculus
    • A.4: Trigonometry Used in Calculus

Questions Available within WebAssign

Most questions from this textbook are available in WebAssign. The online questions are identical to the textbook questions except for minor wording changes necessary for Web use. Whenever possible, variables, numbers, or words have been randomized so that each student receives a unique version of the question. This list is updated nightly.

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Group Quantity Questions
Chapter 1: Limits and Continuity
1 0  
Chapter 2: The Derivative
2 0  
Chapter 3: More About Derivatives
3 0  
Chapter 4: Applications of the Derivative
4 0  
Chapter 5: The Integral
5 0  
Chapter 6: Applications of the Integral
6 0  
Chapter 7: Techniques of Integration
7 0  
Chapter 8: Infinite Series
8 0  
Chapter 9: Parametric Equations; Polar Equations
9 0  
Chapter 10: Vectors; Lines, Planes, and Quadric Surfaces in Space
10 0  
Chapter 11: Vector Functions
11 0  
Total 0