Single Variable Calculus Early Transcendentals 7th Edition Stewart Test Bank

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Product details:

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

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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