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Solutions Manual for James Stewart's Multivariable Calculus (Fifth Edition) by Brooks Cole



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Solutions Manual for James Stewart's Multivariable Calculus (Fifth Edition) written by Brooks Cole cover the following topics.

  • 11. PARAMETRIC EQUATIONS AND POLAR COORDINATES
    11.1 Curves Defined by Parametric Equations, Running Circles Around Circles
    11.2 Calculus with Parametric Curves, Bézier Curves
    11.3 Polar Coordinates, Families of Polar Curves
    11.4 Areas and Lengths in Polar Coordinates
    11.5 Conic Sections
    11.6 Conic Sections in Polar Coordinates

  • 12. INFINITE SEQUENCES AND SERIES
    12.1 Sequences, Logistic Sequences
    12.2 Series
    12.3 The Integral Test and Estimates of Sums
    12.4 The Comparison Tests
    12.5 Alternating Series
    12.6 Absolute Convergence and the Ratio and Root Tests
    12.7 Strategy for Testing Series
    12.8 Power Series
    12.9 Representations of Functions as Power Series
    12.10 Taylor and Maclaurin , An Elusive Limit
    12.11 Applications of Taylor Polynomials, Radiation from the Stars

  • 13. VECTORS AND THE GEOMETRY OF SPACE
    13.1 Three-Dimensional Coordinate Systems
    13.2 Vectors
    13.3 The Dot Product
    13.4 The Cross Product, The Geometry of a Tetrahedron
    13.5 Equations of Lines and Planes, Putting 3D in Perspective
    13.6 Cylinders and Quadric Surfaces

  • 14. VECTOR FUNCTIONS
    14.1 Vector Functions and Space Curves
    14.2 Derivatives and Integrals of Vector Functions
    14.3 Arc Length and Curvature
    14.4 Motion in Space: Velocity and Acceleration, Kepler’s Laws

  • 15. PARTIAL DERIVATIVES
    15.1 Functions of Several Variables
    15.2 Limits and Continuity
    15.3 Partial Derivatives
    15.4 Tangent Planes and Linear Approximations
    15.5 The Chain Rule
    15.6 Directional Derivatives and the Gradient Vector
    15.7 Maximum and Minimum Values, Designing a Dumpster, Quadratic Approximations and Critical Points
    15.8 Lagrange Multipliers, Rocket Science, Hydro-Turbine Optimization 488

  • 16. MULTIPLE INTEGRALS
    16.1 Double Integrals over Rectangles
    16.2 Iterated Integrals
    16.3 Double Integrals over General Regions
    16.4 Double Integrals in Polar Coordinates
    16.5 Applications of Double Integrals
    16.6 Surface Area
    16.7 Triple Integrals, Volumes of Hyperspheres
    16.8 Triple Integrals in Cylindrical Coordinates, The Intersection of Three Cylinders
    16.9 Triple Integrals in Spherical Coordinates, Roller Derby
    16.10 Change of Variables in Multiple Integrals

  • 17. VECTOR CALCULUS
    17.1 Vector Fields
    17.2 Line Integrals
    17.3 The Fundamental Theorem for Line Integrals
    17.4 Green’s Theorem
    17.5 Curl and Divergence
    17.6 Parametric Surfaces and Their Areas
    17.7 Surface Integrals
    17.8 Stokes’ Theorem v16.9 The Divergence Theorem

  • 18. SECOND-ORDER DIFFERENTIAL EQUATIONS
    18.1 Second-Order Linear Equations
    18.2 Nonhomogeneous Linear Equations
    18.3 Applications of Second-Order Differential Equations
    18.4 Series Solutions

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