MULTIVARIABLE CALCULUS provides you with the strongest foundation for a STEM future. James Stewart’s Calculus series is the topseller in the world because of its problemsolving focus, mathematical precision and accuracy, and outstanding examples and problem sets. Selected and mentored by Stewart, Daniel Clegg and Saleem Watson continue his legacy and their careful refinements retain Stewart’s clarity of exposition and make the 9th edition an even more usable learning tool. The accompanying WebAssign includes helpful learning support and new resources like Explore It interactive learning modules. Showing that Calculus is both practical and beautiful, the Stewart approach and WebAssign resources enhance understanding and build confidence for millions of students worldwide.
10. PARAMETRIC EQUATIONS AND POLAR COORDINATES.
Curves Defined by Parametric Equations. Discovery Project: Running Circles Around Circles. Calculus with Parametric Curves. Discovery Project: Bézier Curves. Polar Coordinates. Discovery Project: Families of Polar Curves. Calculus in Polar Coordinates. Conic Sections. Conic Sections in Polar Coordinates. Review. Problems Plus.
11. SEQUENCES, SERIES, AND POWER SERIES.
Sequences. Discovery Project: Logistic Sequences. Series. The Integral Test and Estimates of Sums. The Comparison Tests. Alternating Series and Absolute Convergence. The Ratio and Root Tests. Strategy for Testing Series. Power Series. Representations of Functions as Power Series. Taylor and Maclaurin Series. Discovery Project: An Elusive Limit. Writing Project: How Newton Discovered the Binomial Series. Applications of Taylor Polynomials. Applied Project: Radiation from the Stars. Review. Problems Plus.
12. VECTORS AND THE GEOMETRY OF SPACE.
ThreeDimensional Coordinate Systems. Vectors. Discovery Project: The Shape of Hanging Chain. The Dot Product. The Cross Product. Discovery Project: The Geometry of a Tetrahedron. Equations of Lines and Planes. Discovery Project: Putting 3D in Perspective. Cylinders and Quadric Surfaces. Review. Problems Plus.
13. 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. Review. Problems Plus.
14. PARTIAL DERIVATIVES.
Functions of Several Variables. Limits and Continuity. Partial Derivatives. Discovery Project: Deriving the CobbDouglas Production Function. Tangent Planes and Linear Approximations. Applied Project: The Speedo LZR Racer. The Chain Rule. Directional Derivatives and the Gradient Vector. Maximum and Minimum Values. Discovery Project: Quadratic Approximations and Critical Points. Lagrange Multipliers. Applied Project: Rocket Science. Applied Project: HydroTurbine Optimization. Review. Problems Plus.
15. MULTIPLE INTEGRALS.
Double Integrals over Rectangles. 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 Coordinates. Discovery Project: The Intersection of Three Cylinders. Triple Integrals in Spherical Coordinates. Applied Project: Roller Derby. Change of Variables in Multiple Integrals. Review. Problems Plus.
16. VECTOR CALCULUS.
Vector Fields. Line Integrals. The Fundamental Theorem for Line Integrals. Green’s Theorem. Curl and Divergence. Parametric Surfaces and Their Areas. Surface Integrals. Stokes’ Theorem. The Divergence Theorem. Summary. Review. Problems Plus.
APPENDIXES.
A: Numbers, Inequalities, and Absolute Values. B: Coordinate Geometry and Lines. C: Graphs of SecondDegree Equations. D: Trigonometry. E: Sigma Notation. F: Proofs of Theorems. G: The Logarithm Defined as an Integral. H: Answers to OddNumbered Exercises.
INDEX.

James Stewart
The late James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He conducted research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Dr. Stewart most recently served as a professor of mathematics at McMaster University, and his research focused on harmonic analysis. Dr. Stewart authored a bestselling calculus textbook series, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS and CALCULUS: CONCEPTS AND CONTEXTS as well as a series of successful precalculus texts.

Daniel K. Clegg
Daniel Clegg received his B.A. in Mathematics from California State University, Fullerton and his M.A. in Mathematics from UCLA. He is currently a professor of mathematics at Palomar College near San Diego, California, where he has taught for more than 20 years. Clegg coauthored BRIEF APPLIED CALCULUS with James Stewart and also assisted Stewart with various aspects of his calculus texts and ancillaries for almost 20 years.

Saleem Watson
Saleem Watson received his Bachelor of Science degree from Andrews University in Michigan. He did graduate studies at Dalhousie University and McMaster University, where he received his Ph.D. in 1978. He subsequently did research at the Mathematics Institute of the University of Warsaw in Poland. He also taught at The Pennsylvania State University. He is currently Professor of Mathematics at California State University, Long Beach. His research field is functional analysis. Watson is a coauthor on Stewart's bestselling Calculus franchise.

NEW EXPLANATIONS AND EXAMPLES: Careful refinements throughout provide even greater clarity on key concepts such as computing volumes of revolution and setting up triple integrals.

NEW SCAFFOLDED EXERCISES: At the beginning of problem sets, new basic exercises reinforce key skills and build student confidence to prepare them for more rigorous exercises and conceptual understanding.

NEW SUBHEADINGS: Additional subsections within chapters help instructors and students find key content more easily to make the text an even more helpful teaching and learning tool.

NEW WEBASSIGN RESOURCES: New digital resources in WebAssign include Explore It interactive learning modules, the MindTap reader for interactive and mobile ebook access, enhanced remediation support, and improved problem types.

NEW EXPLANATIONS AND EXAMPLES: Careful refinements throughout provide even greater clarity on key concepts such as computing volumes of revolution and setting up triple integrals.

NEW SCAFFOLDED EXERCISES: At the beginning of problem sets, new basic exercises reinforce key skills and build student confidence to prepare them for more rigorous exercises and conceptual understanding.

NEW SUBHEADINGS: Additional subsections within chapters help instructors and students find key content more easily to make the text an even more helpful teaching and learning tool.

NEW WEBASSIGN RESOURCES: New digital resources in WebAssign include Explore It interactive learning modules, the MindTap reader for interactive and mobile ebook access, enhanced remediation support, and improved problem types.

PROBLEMSOLVING EMPHASIS: George Polya’s problemsolving methodology is introduced at the beginning and reinforced throughout. "Strategies" sections help students select what techniques they'll need to solve problems in situations where the choice is not obvious and help them develop true problemsolving skills and intuition.

CLEAR EXPOSITION: Dan Clegg and Saleem Watson have remained true to James Stewart's writing style speaking clearly and directly to students, guiding them through key ideas, theorems, and problemsolving steps, and encouraging them to think as they read and learn calculus.

STEM APPLICATIONS: Stewart/Clegg/Watson answers "When will I use this?" by showing how calculus is used as a problemsolving tool in fields such as physics, engineering, chemistry, biology, medicine, and the social sciences.

PREREQUISITE SUPPORT: Quick Prep and JustinTime exercises in WebAssign refresh and reinforce prerequisite knowledge.

HELPFUL EXAMPLES: Every concept is supported by thoughtfully worked examples that encourage students to develop an analytic view of the subject. To provide further insight into mathematical concepts, many detailed examples display solutions graphically, analytically, and/or numerically. Margin notes expand on and clarify the steps of the solution.

QUALITY EXERCISES: Each exercise set carefully progresses from skilldevelopment problems to more challenging problems involving applications and proofs. Conceptual exercises encourage the development of communication skills by explicitly requesting descriptions, conjectures, and explanations. More challenging “Problems Plus” exercises reinforce concepts by requiring students to apply techniques from more than one chapter of the text, and by patiently showing them how to approach a challenging problem.

ENGAGING PROJECTS: A wealth of engaging projects reinforce concepts. "Writing Projects" ask students to compare presentday methods with those of the founders of calculus. "Discovery Projects" anticipate results to be discussed later. "Applied Projects" feature realworld use of mathematics. "Laboratory Projects" anticipate results to be discussed later or encourage discovery through pattern recognition.

Four carefully crafted diagnostic tests in algebra, analytic geometry, functions, and trigonometry appear at the beginning of the text. These provide students with a convenient way to test their preexisting knowledge and brush up on skill techniques they need to successfully begin the course. Answers are included, and students who need to improve will be referred to points in the text or on the book's website where they can seek help

Stewart's writing style speaks clearly and directly to students, guiding them through key ideas, theorems, and problemsolving steps, and encouraging them to think as they read and learn calculus.

Every concept is supported by thoughtfully worked examples—many with stepbystep explanations—and carefully chosen exercises. The quality of this pedagogical system is what sets Stewart's texts above others.

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Online Instructor's Guide for Stewart/Clegg/Watson's Calculus, 9th
9780357043110
Online Complete Solutions Manual, Chapters 1017 for Stewart/Clegg/Watson's Multivariable Calculus, 9th
9780357043073
Student NoteTaking Guide for Stewart/Clegg/Watson's Multivariable Calculus, 9th
9780357043172
Cengage eBook: Multivariable Calculus 12 Months
9788000029856