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Calculus Single and Multivariable 6th Edition by Deborah Hughes Hallett, Andrew M Gleason, William G McCallum ISBN 047088861X 9780470888612

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Calculus Single and Multivariable 6th Edition Deborah Hughes-Hallett Digital Instant Download

Author(s): Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum, Eric Connally, Daniel E. Flath, Selin Kalayci?glu, Brigitte Lahme, Patti Frazer Lock, David O. Lomen, David Lovelock, Guadalupe I. Lozano, Jerry Morris, David Mumford, Brad G. Osgood, Cody L.
ISBN(s): 9780470888612, 047088861X
Edition: 6
File Details: PDF, 30.98 MB
Year: 2012
Language: english
SKU: EB-4385828 Category: Tags: , , , , , , , , , , , , , ,

Calculus Single and Multivariable 6th Edition by Deborah Hughes Hallett, Andrew M Gleason, William G McCallum – Ebook PDF Instant Download/Delivery: 047088861X, 9780470888612
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Product details:

ISBN 10: 047088861X 
ISBN 13: 9780470888612
Author: Deborah Hughes Hallett, Andrew M Gleason, William G McCallum

Innovative and engaging problems. Under the approach called the Rule of Four, ideas are presented graphically, numerically, symbolically, and verbally, thereby encouraging students with a variety of learning styles to expand their knowledge. A Flexible Approach to Adaptable to courses having various levels of computer involvement, ranging from little or none to intensive. The book does not require any specific software or technology, though it has been used successfully with graphing calculators, graphing software, and computer algebra systems. Applied Problems for instructors wishing to emphasize the connection between calculus and other fields.

Calculus Single and Multivariable 6th Table of contents:

Part I: Single Variable Calculus

  • Chapter 1: Foundations for Calculus: Functions and Limits

    • This chapter covers the fundamental building blocks, including a library of functions and the concept of limits.

  • Chapter 2: Key Concept: The Derivative

    • This is the introduction to the core concept of the derivative, focusing on its definition and interpretation as a rate of change.

  • Chapter 3: Short-Cuts to Differentiation

    • This chapter provides the essential rules of differentiation, such as the product rule, quotient rule, and chain rule.

  • Chapter 4: Using the Derivative

    • This chapter applies the derivative to solve problems, including optimization, graphing, and related rates.

  • Chapter 5: Key Concept: The Definite Integral

    • Introduces the concept of the definite integral, its interpretation as an area, and the Fundamental Theorem of Calculus.

  • Chapter 6: Constructing Antiderivatives

    • Focuses on the techniques for finding antiderivatives and indefinite integrals.

  • Chapter 7: Integration

    • Covers various integration techniques, such as integration by parts and substitution.

  • Chapter 8: Using the Definite Integral

    • Applies the definite integral to a variety of applications, such as finding volumes, arc length, and work.

  • Chapter 9: Sequences and Series

    • Introduces the concepts of sequences, infinite series, and convergence.

  • Chapter 10: Approximating Functions Using Series

    • Covers Taylor series and power series for approximating functions.

  • Chapter 11: Differential Equations

    • Explores the basics of differential equations and their applications.

Part II: Multivariable Calculus

  • Chapter 12: Functions of Several Variables

    • Introduces the concepts of functions with multiple inputs, their graphs, and contour diagrams.

  • Chapter 13: A Fundamental Tool: Vectors

    • Covers vectors, vector operations, and their applications in geometry and physics.

  • Chapter 14: Differentiating Functions of Several Variables

    • Explores partial derivatives, the gradient, and the chain rule for multivariable functions.

  • Chapter 15: Optimization: Local and Global Extrema

    • Applies multivariable differentiation to find maxima and minima of functions of several variables.

  • Chapter 16: Integrating Functions of Several Variables

    • Covers double and triple integrals and their applications.

  • Chapter 17: Parameterization and Vector Fields

    • Introduces parameterization of curves and surfaces, and the concept of vector fields.

  • Chapter 18: Line Integrals

    • Covers line integrals and the Fundamental Theorem of Line Integrals.

  • Chapter 19: Flux Integrals and Divergence

    • Introduces flux integrals and the divergence theorem.

  • Chapter 20: The Curl and Stokes’ Theorem

    • Explores the curl of a vector field and Stokes’ Theorem.

  • Chapter 21: Parameters, Coordinates, and Integrals

    • Covers different coordinate systems (polar, cylindrical, spherical) and their use in integration.

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