Multivariable Calculus, Hybrid, 7th Edition
- includes Enhanced WebAssign 1-Semester Printed Access Card
- James Stewart McMaster University
- ISBN-10: 1133110835 | ISBN-13: 9781133110835
- 480 Pages
- Previous Editions: 2012
- © 2012 | Published
Reflecting Cengage Learning’s commitment to offering flexible teaching solutions and value for students and instructors, these new hybrid versions feature the instructional presentation found in the printed text while delivering end-of-section and/or end-of chapter exercises online in Enhanced WebAssign. The result—a briefer printed text that engages students online! James Stewart’s CALCULUS texts are widely renowned for their mathematical precision and accuracy, clarity of exposition, and outstanding examples and problem sets. Millions of students worldwide have explored calculus through Stewart’s trademark style, while instructors have turned to his approach time and time again. In the Seventh Edition of MULTIVARIABLE CALCULUS, Stewart continues to set the standard for the course while adding carefully revised content. The patient explanations, superb exercises, focus on problem solving, and carefully graded problem sets that have made Stewart’s texts best-sellers continue to provide a strong foundation for the Seventh Edition. From the most unprepared student to the most mathematically gifted, Stewart’s writing and presentation serve to enhance understanding and build confidence. CourseSmart goes beyond traditional expectations–providing instant, online access to the textbooks and course materials you need and at a lower cost to your students. To request an electronic sample of this Cengage Learning title, go to: www.coursesmart.com/instructors.
10. PARAMETRIC EQUATIONS AND POLAR COORDINATES.
Curves Defined by Parametric Equations. Laboratory Project: Families of Hypocycloids. Calculus with Parametric Curves. Laboratory Project: Bézier Curves. Polar Coordinates. Laboratory Project: Families of Polar Curves. Areas and Lengths in Polar Coordinates. Conic Sections. Conic Sections in Polar Coordinates. Review.
11. INFINITE SEQUENCES AND SERIES.
Sequences. Laboratory Project: Logistic Sequences. Series. The Integral Test and Estimates of Sums. The Comparison Tests. Alternating Series. Absolute Convergence and the Ratio and Root Tests. Strategy for Testing Series. Power Series. Representations of Functions as Power Series. Taylor and Maclaurin Series . Laboratory Project: An Elusive Limit. Writing Project: How Newton Discovered the Binomial Series. Applications of Taylor Polynomials. Applied Project: Radiation from the Stars. Review.
12. 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. Cylinders and Quadric Surfaces. Review.
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.
14. PARTIAL DERIVATIVES.
Functions of Several Variables. Limits and Continuity. Partial Derivatives. Tangent Planes and Linear Approximation. 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.
15. MULTIPLE INTEGRALS.
Double Integrals over Rectangles. Iterated Integrals. Double Integrals over General Regions. Double Integrals in Polar Coordinates. Applications of Double Integrals. 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.
16. ECTOR 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. Writing Project: Three Men and Two Theorems. The Divergence Theorem. Summary. Review.
17. SECOND-ORDER DIFFERENTIAL EQUATIONS.
Second-Order Linear Equations. Nonhomogeneous Linear Equations. Applications of Second-Order Differential Equations. Series Solutions. Review.
F. Proofs of Theorems.
G. Graphing Calculators and Computers .
H. Complex Numbers.
I. Answers to Odd-Numbered Exercises.
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Cengage Learning’s Enhanced WebAssign allows you to create online homework assignments that draw from thousands of end of chapter questions that match your adopted textbook. Problems are enhanced with rich tutorial content like Watch It Videos and Animations, Practice It and Master it Tutorials and access to the relevant textbook sections. Flexible assignment options allow you to choose how feedback and tutorial content is released to students as well as the ability to conditionally release assignments based on your student’s prerequisite assignment scores. This access card also provides students access to an interactive Premium eBook, which offers search, highlighting, and note-taking functionality, as well as links to multimedia resources. Increase student engagement, improve course outcomes and experience the superior service offered through CourseCare. Visit us at http://webassign.net/cengage to learn more.
Enrich the way you teach the course with the Instructor’s Guide for Stewart’s Calculus, 7E. Each section of the main text is discussed from several viewpoints and contains suggested time to allot, points to stress, text discussion topics, core materials for lecture, workshop/discussion suggestions, group work exercises in a form suitable for handout, and suggested homework problems. The guide includes single variable and multivariable content. An electronic version is available on PowerLecture.
Equip yourself with the dynamic teaching tools available with PowerLecture CD-ROM. Create, deliver, and customize tests (both print and online) in minutes with ExamView® Computerized Testing Featuring Algorithmic Equations. Easily build solution sets for homework or exams using Solution Builder’s online solutions manual. Enhance your lectures with Microsoft® PowerPoint® lecture slides and figures from the book.
Includes multiple-choice and short-answer test items that key directly to the text. (Includes single variable and multivariable content).
This manual includes worked-out solutions to every exercise in Single Variable Calculus, 7e (Chapters 1-11 of Calculus, 7e).
Includes worked-out solutions to all exercises in the multivariable text (Chapters 10-17 of the complete text).
For each section of Stewart’s Multivariable text, the Study Guide provides students with a brief introduction, a short list of concepts to master, as well as summary and focus questions with explained answers. The study guide also contains "Technology Plus" questions, and multiple-choice "On Your Own" exam-style questions.
Interested in a simple way to complement your text and course content with study and practice materials? Stewart’s Calculus CourseMate from Cengage Learning brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Watch student comprehension soar as your class works with the printed textbook and the textbook-specific website. Stewart’s Calculus CourseMate goes beyond the book to deliver what you need! Key features include interactive eBook, quizzes, flashcards, videos, Tools for Enriching Calculus, and Engagement tracker.
Available on the PowerLecture™ CD and featuring automatic grading, ExamView® testing software allows instructors to quickly create, deliver, and customize tests for class in print and online formats. The program includes a test bank with hundreds of questions customized directly to the text, with all questions also provided in PDF and Microsoft® Word formats for instructors who opt not to use the software component.
James Stewart’s CALCULUS texts are widely renowned for their mathematical precision and accuracy, clarity of exposition, and outstanding examples and problem sets. Millions of students worldwide have explored calculus through Stewart’s trademark style, while instructors have turned to his approach time and time again. In the Seventh Edition of MULTIVARIABLE CALCULUS, Stewart continues to set the standard for the course while adding carefully revised content. The patient explanations, superb exercises, focus on problem solving, and carefully graded problem sets that have made Stewart’s texts best-sellers continue to provide a strong foundation for the Seventh Edition. From the most unprepared student to the most mathematically gifted, Stewart’s writing and presentation serve to enhance understanding and build confidence.
Exclusively from Cengage Learning, Enhanced WebAssign helps students develop a deeper conceptual understanding of their subject matter and complete required online homework assignments. With Enhanced WebAssign, students receive access to a Premium eBook along with immediate feedback and tutorial content, which may include Watch It Videos, Animations, Practice It Questions, Master It Tutorials, Read It Text passages, Chat About It Tutor services, and a Personal Study Plan to aid in the mastery of their course materials. The printed access card features single semester access to an Enhanced WebAssign course with an interactive eBook and is suitable for a one term course in the Calculus, Physics, Chemistry course sequence.
Study smarter with the Study Guide for Stewart’s Multivariable Calculus, 7E. For each section of the text, the Study Guide provides a brief introduction, a short list of concepts to master, and summary and focus questions with explained answers. "Technology Plus" questions and multiple-choice "On Your Own" exam-style questions help you prepare for exams.
The more you study, the better the results. Make the most of your study time by accessing everything you need to succeed in one place. Stewart’s Calculus CourseMate includes an interactive eBook with highlighting, note-taking, and glossary, quizzes, flashcards, videos, Tools for Enriching Calculus, and more!
Success in your calculus course starts here! James Stewart’s CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With MULTIVARIABLE CALCULUS, Seventh Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course.