Thomas' Calculus, Media Upgrade, Part Two (Multivariable, Chap 11-16)

Calculus hasn’t changed, but your students have. Many of today’s students have seen calculus before at the high school level.  However, professors report nationwide that students come into their calculus courses with weak backgrounds in algebra and trigonometry, two areas of knowledge vital to the mastery of calculus. Thomas’ Calculus, Media Upgrade, Eleventh Edition, Part Two responds to the needs of today’s students by developing their conceptual understanding while maintaining a rigor appropriate to the calculus course.    Thomas’ Calculus, Media Upgrade, Eleventh Edition, Part Two is now available with an enhanced MyMathLab™ course—the ultimate homework, tutorial and study solution for today’s students.  The enhanced MyMathLab course includes a rich and flexible set of course materials and features innovative Java™ Applets, Group Projects, and new MathXL® exercises.  This text is also available with WebAssign® and WeBWorK®.

Table of Contents:
(Practice Exercises, Additional Exercises, and Questions to Guide Your Review appear at the end of each chapter.)   11. Infinite Sequences and Series Sequences Infinite Series The Integral Test Comparison Tests The Ratio and Root Tests Alternating Series, Absolute and Conditional Convergence Power Series Taylor and Maclaurin Series Convergence of Taylor Series; Error Estimates Applications of Power Series Fourier Series   12. Vectors and the Geometry of Space Three-Dimensional Coordinate Systems Vectors The Dot Product The Cross Product Lines and Planes in Space Cylinders and Quadric Surfaces   13. Vector-Valued Functions and Motion in Space Vector Functions Modeling Projectile Motion Arc Length and the Unit Tangent Vector T Curvature and the Unit Normal Vector N Torsion and the Unit Binormal Vector B Planetary Motion and Satellites   14. Partial Derivatives Functions of Several Variables Limits and Continuity in Higher Dimensions Partial Derivatives The Chain Rule Directional Derivatives and Gradient Vectors Tangent Planes and Differentials Extreme Values and Saddle Points Lagrange Multipliers *Partial Derivatives with Constrained Variables Taylor's Formula for Two Variables   15. Multiple Integrals Double Integrals Areas, Moments and Centers of Mass* Double Integrals in Polar Form Triple Integrals in Rectangular Coordinates Masses and Moments in Three Dimensions Triple Integrals in Cylindrical and Spherical Coordinates Substitutions in Multiple Integrals   16. Integration in Vector Fields Line Integrals Vector Fields, Work, Circulation, and Flux Path Independence, Potential Functions, and Conservative Fields Green's Theorem in the Plane Surface Area and Surface Integrals Parametrized Surfaces Stokes' Theorem The Divergence Theorem and a Unified Theory   Appendices Mathematical Induction Proofs of Limit Theorems Commonly Occurring Limits Theory of the Real Numbers Complex Numbers The Distributive Law for Vector Cross Products Determinants and Cramer's Rule The Mixed Derivative Theorem and the Increment Theorem The Area of a Parallelogram's Projection on a Plane