Drawing on their decades of teaching experience, William Briggs and Lyle Cochran have created a calculus text that carries the teacher’s voice beyond the classroom. That voice—evident in the narrative, the figures, and the questions interspersed in the narrative—is a master teacher leading readers to deeper levels of understanding. The authors appeal to readers’ geometric intuition to introduce fundamental concepts and lay the foundation for the more rigorous development that follows. Comprehensive exercise sets have received praise for their creativity, quality, and scope. This book covers chapters multivariable topics (chapters 9—15) of Calculus for Scientists and Engineers: Early Transcendentals, which is an expanded version of Calculus: Early Transcendentals by the same authors.   0321844556 / 9780321844552 Calculus for Scientists and Engineers, Multivariable plus MyMathLab Student Access Kit Package consists of 0321431308 / 9780321431301 MyMathLab/MyStatLab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker 0321785517 / 9780321785510 Calculus for Scientists and Engineers, Multivariable  

Table of Contents:
9. Sequences and Infinite Series 9.1 An overview 9.2 Sequences 9.3 Infinite series 9.4 The Divergence and Integral Tests 9.5 The Ratio, Root, and Comparison Tests 9.6 Alternating series   10. Power Series 10.1 Approximating functions with polynomials 10.2 Properties of Power series 10.3 Taylor series 10.4 Working with Taylor series   11. Parametric and Polar Curves 11.1 Parametric equations 11.2 Polar coordinates 11.3 Calculus in polar coordinates 11.4 Conic sections   12. Vectors and Vector-Valued Functions 12.1 Vectors in the plane 12.2 Vectors in three dimensions 12.3 Dot products 12.4 Cross products 12.5 Lines and curves in space 12.6 Calculus of vector-valued functions 12.7 Motion in space 12.8 Length of curves 12.9 Curvature and normal vectors   13. Functions of Several Variables 13.1 Planes and surfaces 13.2 Graphs and level curves 13.3 Limits and continuity 13.4 Partial derivatives 13.5 The Chain Rule 13.6 Directional derivatives and the gradient 13.7 Tangent planes and linear approximation 13.8 Maximum/minimum problems 13.9 Lagrange multipliers   14. Multiple Integration 14.1 Double integrals over rectangular regions 14.2 Double integrals over general regions 14.3 Double integrals in polar coordinates 14.4 Triple integrals 14.5 Triple integrals in cylindrical and spherical coordinates 14.6 Integrals for mass calculations 14.7 Change of variables in multiple integrals   15. Vector Calculus 15.1 Vector fields 15.2 Line integrals 15.3 Conservative vector fields 15.4 Green’s theorem 15.5 Divergence and curl 15.6 Surface integrals 15.6 Stokes’ theorem 15.8 Divergence theorem