2011 Single Variable Calculus: Early Transcendentals, 7th Edition Test Bank

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Product details:

• ISBN-10 ‏ : ‎ 0538498676
• ISBN-13 ‏ : ‎ 978-0538498678
• Author: James Stewart (Author)

Success in your calculus course starts here! James Stewart’s CALCULUS: EARLY TRANSCENDENTALS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With SINGLE VARIABLE CALCULUS: EARLY TRANSCENDENTALS, Seventh Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course!

Table of contents:

• 1: Limits

  • 1.1: An Introduction to Limits
  • 1.2: Epsilon-Delta Definition of a 
    Limit
  • 1.3: Finding Limits Analytically
  • 1.4: One Sided Limits
  • 1.5: Continuity
  • 1.6: Limits Involving Infinity
  • 1.E: Applications of Limits (Exercises)

• 2: Derivatives

  • 2.1: Instantaneous Rates of Change- The 
    Derivative
  • 2.2: Interpretations of the 
    Derivative
  • 2.3: Basic 
    Differentiation

     Rules

  • 2.4: The Product and Quotient Rules
  • 2.5: The 
    Chain Rule
  • 2.6: 
    Implicit Differentiation
  • 2.7: Derivatives of Inverse Functions
  • 2.E: Applications of Derivatives(Exercises)

• 3: The Graphical Behavior of Functions

  • 3.1: Extreme Values
  • 3.2: The 
    Mean Value Theorem
  • 3.3: Increasing and Decreasing Functions
  • 3.4: 
    Concavity

     and the Second 

    Derivative
  • 3.5: Curve Sketching
  • 3.E: Applications of the Graphical Behavior of Functions(Exercises)

• 4: Applications of the

  Derivative
  • 4.1: Newton’s Method
  • 4.2: 
    Related Rates
  • 4.3: Optimization
  • 4.4: Differentials
  • 4.E: Applications of Derivatives (Exercises)

• 5: Integration

  • 5.1: Antiderivatives and Indefinite Integration
  • 5.2: The 
    Definite Integral
  • 5.3: Riemann Sums
  • 5.4: The 
    Fundamental Theorem of Calculus
  • 5.5: 
    Numerical Integration
  • 5.E: Applications of Integration (Exercises)

• 6: Techniques of Integration

  • 6.1: Substitution
  • 6.2: 
    Integration by Parts
  • 6.3: Trigonometric Integrals
  • 6.4: 
    Trigonometric Substitution
  • 6.5: 
    Partial Fraction Decomposition
  • 6.6: 
    Hyperbolic Functions
  • 6.7: L’Hopital’s Rule
  • 6.8: Improper Integration
  • 6.E: Applications of Antidifferentiation (Exercises)
  • Index

• 7: Applications of Integration

  • 7.1: Area Between Curves
  • 7.2: Volume by Cross-Sectional Area- Disk and Washer Methods
  • 7.3: The Shell Method
  • 7.4: 
    Arc Length

     and 

    Surface Area
  • 7.5: 
    Work
  • 7.6: Fluid Forces
  • 7.E: Applications of Integration (Exercises)

• 8: Sequences and Series

  • 8.1: Sequences
  • 8.2: 
    Infinite Series
  • 8.3: Integral and Comparison Tests
  • 8.4: Ratio and Root Tests
  • 8.5: 
    Alternating Series

     and 

    Absolute Convergence
  • 8.6: 
    Power Series
  • 8.7: 
    Taylor Polynomials
  • 8.8: 
    Taylor Series
  • 8.E: Applications of Sequences and Series (Exercises)

• 9: Curves in the Plane

  • 9.1: Conic Sections
  • 9.2: 
    Parametric Equations
  • 9.3: Calculus and 
    Parametric Equations
  • 9.4: Introduction to Polar Coordinates
  • 9.5: Calculus and Polar Functions
  • 9.E: Applications of Curves in a Plane (Exercises)

• 10: Vectors

  • 10.1: Introduction to Cartesian Coordinates in Space
  • 10.2: An Introduction to Vectors
  • 10.3: The Dot Product
  • 10.4: The 
    Cross Product
  • 10.5: Lines
  • 10.6: Planes
  • 10.E: Applications of Vectors (Exercises)

• 11:

  Vector

  -Valued Functions

  • 11.1: 
    Vector

    –Valued Functions

  • 11.2: Calculus and 
    Vector

    -Valued Functions

  • 11.3: The Calculus of Motion
  • 11.4: Unit 
    Tangent

     and Normal Vectors

  • 11.5: The 
    Arc Length

     

    Parameter

     and 

    Curvature
  • 11.E: Applications of 
    Vector

     Valued Functions (Exercises)

• 12: Functions of Several Variables

  • 12.1: Introduction to Multivariable Functions
  • 12.2: Limits and Continuity of Multivariable Functions
  • 12.3: Partial Derivatives
  • 12.4: Differentiability and the 
    Total Differential
  • 12.5: The Multivariable 
    Chain Rule
  • 12.6: Directional Derivatives
  • 12.7: 
    Tangent

     Lines, Normal Lines, and 

    Tangent

     Planes

  • 12.8: Extreme Values
  • 12.E: Applications of Functions of Several Variables (Exercises)

• 13: Multiple Integration

  • 13.1: Iterated Integrals and Area
  • 13.2: Double Integration and Volume
  • 13.3: Double Integration with Polar Coordinates
  • 13.4: 
    Center of Mass
  • 13.5: 
    Surface Area
  • 13.6: Volume Between Surfaces and Triple Integration
  • 13.E: Applications of Multiple Integration (Exercises)

• 14: Appendix

  • 14.1: Section 1-
  • 14.2: Section 2-
  • 14.3: Section 3-
  • 14.4: Section 4-
  • 14.5: Section 5-
  • 14.6: Section 6-

• Index

• Glossary

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