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Test Bank for Calculus: Multivariable, 7th Edition by William G. McCallum

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  • ISBN-10:  1119343992 / ISBN-13:  9781119343998
  • Ebook Details

    • Format: Downloadable ZIP Fille
    • Resource Type : Testbank
    • Publication: 2012
    • Authors: Deborah Hughes-Hallett , Andrew M. Gleason , Patti Frazer Lock , Douglas Quinney , Karen R. Rhea , Brigitte Lahme , Guadalupe I. Lozano , Jerry Morris , Guadalupe I. Lonzano , David Mumford , Cody L. Patterson , Adam H. Spiegler , William G. Mc
    • Delivery: Instant Download

    $35.00 $30.00

    SKU: 3a721e692208 Categories: ,

    Table of contents:

    12. Functions of Several Variables 651
    12.1 Functions of Two Variables 652
    12.2 Graphs and Surfaces 660
    12.3 Contour Diagrams 668
    12.4 Linear Functions 682
    12.5 Functions of Three Variables 689
    12.6 Limits and Continuity 695
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    13. A Fundamental Tool: Vectors 701
    13.1 Displacement Vectors 702
    13.2 Vectors in General 710
    13.3 The Dot Product 718
    13.4 The Cross Product 728
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    14. Differentiating Functions of Several Variables 739
    14.1 The Partial Derivative 740
    14.2 Computing Partial Derivatives Algebraically 748
    14.3 Local Linearity and the Differential 753
    14.4 Gradients and Directional Derivatives in the Plane 762
    14.5 Gradients and Directional Derivatives in Space 772
    14.6 The Chain Rule 780
    14.7 Second-Order Partial Derivatives 790
    14.8 Differentiability 799
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    15. Optimization: Local and Global Extreme 805
    15.1 Critical Points: Local Extreme and Saddle Points 806
    15.2 Optimization 815
    15.3 Constrained Optimization: Lagrange Multipliers 825
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    16. Integrating Functions of Several Variables 839
    16.1 The Definite Integral of a Function of Two Variables 840
    16.2 Iterated Integrals 847
    16.3 Triple Integrals 857
    16.4 Double Integrals in Polar Coordinates 864
    16.5 Integrals in Cylindrical and Spherical Coordinates 869
    16.6 Applications of Integration to Probability 878
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    17. Parameterization and Vector Fields 885
    17.1 Parameterized Curves 886
    17.2 Motion, Velocity, and Acceleration 896
    17.3 Vector Fields 905
    17.4 The Flow of a Vector Field 913
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    18. Line Integrals 921
    18.1 The Idea of a Line Integral 922
    18.2 Computing Line Integrals Over Parameterized Curves 931
    18.3 Gradient Fields and Path-Independent Fields 939
    18.4 Path-Dependent Vector Fields and Green’s Theorem 949
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    19. Flux Integrals and Divergence 961
    19.1 The Idea of a Flux Integral 962
    19.2 Flux Integrals for Graphs, Cylinders, and Spheres 973
    19.3 The Divergence of a Vector Fields 982
    19.4 The Divergence Theorem 991
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    20. The Curl and Stokes’ Theorem 999
    20.1 The Curl of a Vector Fields 1000
    20.2 Stokes’ Theorem 1008
    20.3 The Three Fundamental Theorems 1015
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    21. Parameters, Coordinates, and Integrals 1021
    21.1 Coordinates and Parameterized Surfaces 1022
    21.2 Change of Corrdinates in a Multiple Integral 1033
    21.3 Flux Integrals Over Parameterized Surfaces 1038
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