Multivariable Calculus With Infotrac Concepts and Contexts With Make the Grade

8. INFINITE SEQUENCES AND SERIES Sequences / Series / The Integral and Comparison Tests; Estimating Sums / Other Convergence Tests / Power Series / Representation of Functions as Power Series / Taylor and Maclaurin Series / The Binomial Series / Applications of Taylor Polynomials / Using Series to Solve Differential Equations / Review / Focus on Problem Solving 9. VECTORS AND THE GEOMETRY OF SPACE Three Dimensional Coordinate Systems / Vectors. The Dot Product / The Cross Product / Equations of Lines and Planes / Functions and Surfaces / Cylindrical and Spherical Coordinates / Review / Focus on Problem Solving 10. VECTOR FUNCTIONS Vector Functions and Space Curves / Derivatives and Integrals of Vector Functions / Arc Length and Curvature / Motion in Space / Parametric Surfaces / Review / Focus on Problem Solving 11. PARTIAL DERIVATIVES Functions of Several Variables / Limits and Continuity / Partial Derivatives / Tangent Planes and Linear Approximations / The Chain Rule / Directional Derivatives and the Gradient Vector / Maximum and Minimum Values / Lagrange Multipliers / Review / Focus on Problem Solving 12. MULTIPLE INTEGRALS Double Integrals over Rectangles / Integrated Integrals / Double Integrals over General Regions / Double Integrals in Polar Coordinates / Applications of Double Integrals / Surface Area / Triple Integrals / Triple Integrals in Cylindrical and Spherical Coordinates / Change of Variables in Multiple Integrals / Review / Focus on Problem Solving 13. VECTOR CALCULUS Vector Fields / Line Integrals / The Fundamental Theorem for Line Integrals / Green's Theorem / Curl and Divergence / Surface Integrals / Stokes' Theorem / The Divergence Theorem / Summary / Review / Focus on Problem Solving / APPENDICES / A: INTERVALS, INEQUALITIES, AND ABSOLUTE VALUES / B: COORDINATE GEOMETRY / C: TRIGONOMETRY / D: PRECISE DEFINITIONS OF LIMITS / E: A FEW PROOFS / F: SIGMA NOTATION / G: INTEGRATION OF RATIONAL FUNCTIONS BY PARTIAL FRACTIONS / H: POLAR COORDINATES / I: COMPLEX NUMBERS / J: ANSWERS TO ODD-NUMBERED EXERCISES / INDEXStewart, James is the author of 'Multivariable Calculus With Infotrac Concepts and Contexts With Make the Grade', published 2000 under ISBN 9780534434571 and ISBN 0534434576.