Multivariable Calculus Concepts and Contexts
by Stewart, JamesEdition: 4th
Format: Hardcover
Pub. Date: 2009-03-11
Publisher(s): Cengage Learning
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Summary
Stewart's CALCULUS: CONCEPTS AND CONTEXTS, FOURTH EDITION offers a streamlined approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. CALCULUS: CONCEPTS AND CONTEXTS is highly regarded because this text offers a balance of theory and conceptual work to satisfy more progressive programs as well as those who are more comfortable teaching in a more traditional fashion. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.
Table of Contents
| Vectors and the Geometry of Space | |
| Three-Dimensional Coordinate Systems | |
| Vectors | |
| The Dot Product | |
| The Cross Product | |
| Discovery Project: The Geometry of a Tetrahedron | |
| Equations of Lines and Planes | |
| Laboratory Project: Putting 3D in Perspective | |
| Functions and Surfaces | |
| Cylindrical and Spherical Coordinates | |
| Laboratory Project: Families of Surfaces | |
| Review | |
| Focus on Problem Solving | |
| Vector Functions | |
| Vector Functions and Space Curves | |
| Derivatives and Integrals of Vector Functions | |
| Arc Length and Curvature | |
| Motion in Space: Velocity and Acceleration | |
| Applied Project: Kepler's Laws | |
| Parametric Surfaces | |
| Review | |
| Focus on Problem Solving | |
| 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 | |
| Applied Project: Designing a Dumpster | |
| Discovery Project: Quadratic Approximations and Critical Points | |
| Lagrange Multipliers | |
| Applied Project: Rocket Science | |
| Applied Project: Hydro-Turbine Optimization | |
| Review | |
| Focus on Problem Solving | |
| Multiple Integrals | |
| Double Integrals over Rectangles | |
| Iterated Integrals | |
| Double Integrals over General Regions | |
| Double Integrals in Polar Coordinates | |
| Applications of Double Integrals | |
| Surface Area | |
| Triple Integrals | |
| Discovery Project: Volumes of Hyperspheres | |
| Triple Integrals in Cylindrical and Spherical Coordinates | |
| Applied Project: Roller Derby | |
| Discovery Project: The Intersection of Three Cylinders | |
| Change of Variables in Multiple Integrals | |
| Review | |
| Focus on Problem Solving | |
| Vector Calculus | |
| Vector Fields | |
| Line Integrals | |
| The Fundamental Theorem for Line Integrals | |
| Green's Theorem | |
| Curl and Divergence | |
| Surface Integrals | |
| Stokes' Theorem | |
| Writing Project: Three Men and Two Theorems | |
| The Divergence Theorem | |
| Summary | |
| Review | |
| Focus on Problem Solving | |
| Appendixes | |
| Intervals, Inequalities, and Absolute Values | |
| Coordinate Geometry | |
| Trigonometry | |
| Precise Definitions of Limits | |
| A Few Proofs | |
| Sigma Notation | |
| Integration of Rational Functions by Partial Fractions | |
| Polar Coordinates | |
| Complex Numbers | |
| Answers to Odd-Numbered Exercises | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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