- Multivariable Calculus
- ISBN-10: 0321664159 • ISBN-13: 9780321664150
- ©2011 • Pearson • Paper, 656 pp
Published 01/05/2010 • Instock
This book is designed for a one-semester or two-quarter calculus course covering multivariable calculus for mathematics, engineering, and science majors.
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 students to deeper levels of understanding. The authors appeal to students’ 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.
To further support student learning, the ebook for the text features Interactive Figures that can be manipulated to shed light on difficult-to-convey concepts. In addition, the Instructor’s Resource Guide and Test Bank features quizzes, test items, lecture support, guided projects, and more.
Briggs & Cochran
ISBN-10: 0321336119 • ISBN-13: 9780321336118
©2011 • Cloth, 1264 pp
Chapter 8: Sequences and Infinite Series
8.1 An Overview
8.3 Infinite Series
8.4 The Divergence and Integral Tests
8.5 The Ratio and Comparison Tests
8.6 Alternating Series
Chapter 9: Power Series
9.1 Approximating Functions with Polynomials
9.2 Power Series
9.3 Taylor Series
9.4 Working with Taylor Series
Chapter 10: Parametric and Polar Curves
10.1 Parametric Equations
10.2 Polar Coordinates
10.3 Calculus in Polar Coordinates
10.4 Conic Sections
Chapter 11: Vectors and Vector-Valued Functions
11.1 Vectors in the Plane
11.2 Vectors in Three Dimensions
11.3 Dot Products
11.4 Cross Products
11.5 Lines and Curves in Space
11.6 Calculus of Vector-Valued Functions
11.7 Motion in Space
11.8 Length of Curves
11.9 Curvature and Normal Vectors
Chapter 12: Functions of Several Variables
12.1 Planes and Surfaces
12.2 Graphs and Level Curves
12.3 Limits and Continuity
12.4 Partial Derivatives
12.5 The Chain Rule
12.6 Directional Derivatives and the Gradient
12.7 Tangent Planes and Linear Approximation
12.8 Maximum/Minimum Problems
12.9 Lagrange Multipliers
Chapter 13: Multiple Integration
13.1 Double Integrals over Rectangular Regions
13.2 Double Integrals over General Regions
13.3 Double Integrals in Polar Coordinates
13.4 Triple Integrals
13.5 Triple Integrals in Cylindrical and Spherical Coordinates
13.6 Integrals for Mass Calculations
13.7 Change of Variables in Multiple Integrals
Chapter 14: Vector Calculus
14.1 Vector Fields
14.2 Line Integrals
14.3 Conservative Vector Fields
14.4 Green’s Theorem
14.5 Divergence and Curl
14.6 Surface Integrals
14.7 Stokes’ Theorem
14.8 Divergence Theorem
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