This is completed downloadable of Multivariable Calculus 7th Edition Stewart Solutions Manual
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 Content:
-
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-
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