Multivariable Calculus Stewart 7th Edition Test Bank

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Product details:

  • ISBN-10 ‏ : ‎ 0538497874
  • ISBN-13 ‏ : ‎ 978-0538497879
  • Author: James Stewart

Success in your calculus course starts here! James Stewart’s CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With MULTIVARIABLE CALCULUS, 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: Functions and Models

1.1: Four Ways to Represent a Function

1.2: Mathematical Models- A Catalog of Essential Functions

1.3: New Functions from Old Functions

1.4: Exponential Functions

1.5: Inverse Functions and Logarithms

2: Limits and Derivatives

2.1: The Tangent and Velocity Problems

2.2: The Limit of a Function

2.3: Calculating Limits Using the Limit Laws

2.4: The Precise Definition of a Limit

2.5: Continuity

2.6: Limits at Infinity; Horizontal Asymptotes

2.7: Derivatives and Rates of Change

2.8: The Derivative as a Function

3: Differentiation Rules

3.1: Derivatives of Polynomials and Exponential Functions

3.2: The Product and Quotient Rules

3.3: Derivatives of Trigonometric Functions

3.4: The Chain Rule

3.5: Implicit Differentiation

3.6: Derivatives of Logarithmic Functions

3.7: Rates of Change in the Natural and Social Sciences

3.8: Exponential Growth and Decay

3.9: Related Rates

3.10: Linear Approximations and Differentials

3.11: Hyperbolic Functions

4: Applications of Differentiation

4.1: Maximum and Minimum Values

4.2: The Mean Value Theorem

4.3: How Derivatives Affect the Shape of a Graph

4.4: Indeterminate Forms and l’Hospital’s Rule

4.5: Summary of Curve Sketching

4.6: Graphing with Calculus and Calculators

4.7: Optimization Problems

4.8: Newton’s Method

4.9: Antiderivatives

5: Integrals

5.1: Areas and Distances

5.2: The Definite Integral

5.3: The Fundamental Theorem of Calculus

5.4: Indefinite Integrals and the Net Change Theorem

5.5: The Substitution Rule

6: Applications of Integration

6.1: Areas Between Curves

6.2: Volumes

6.3: Volumes by Cylindrical Shells

6.4: Work

6.5: Average Value of a Function

7: Techniques of Integration

7.1: Integration by Parts

7.2: Trigonometric Integrals

7.3: Trigonometric Substitution

7.4: Integration of Rational Functions by Partial Fractions

7.5: Strategy for Integration

7.6: Integration Using Tables and Computer Algebra Systems

7.7: Approximate Integration

7.8: Improper Integrals

8: Further Applications of Integration

8.1: Arc Length

8.2: Area of a Surface of Revolution

8.3: Applications to Physics and Engineering

8.4: Applications to Economics and Biology

8.5: Probability

9: Differential Equations

9.1: Modeling with Differential Equations

9.2: Direction Fields and Euler’s Method

9.3: Separable Equations

9.4: Models for Population Growth

9.5: Linear Equations

9.6: Predator-Prey Systems

10: Parametric Equations And Polar Coordinates

10.1: Curves Defined by Parametric Equations

10.2: Calculus with Parametric Curves

10.3: Polar Coordinates

10.4: Areas and Lengths in Polar Coordinates

10.5: Conic Sections

10.6: Conic Sections in Polar Coordinates

Index

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