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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