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Calculus: Single and Multivariable, 6th Edition

ISBN: 978-1-118-54785-4

October 2012

1248 pages

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Description
This Sixth Edition of Calculus continues the effort to promote courses in which understanding and computation reinforce each other. Calculus: Single and Multivariable 6th Edition reflects the many voices of users at research universities, four-year colleges, community colleges, and secondary schools. This new edition has been streamlined to create a flexible approach to both theory and modeling. For instructors wishing to emphasize the connection between calculus and other fields, the text includes a variety of problems and examples from the physical, health, and biological sciences, engineering and economics. In addition, new problems on the mathematics of sustainability and new case studies on calculus in medicine by David E. Sloane, MD have been added.
About the Author

Deborah J. Hughes Hallett is a mathematician who works as a professor of mathematics at the University of Arizona. Her expertise is in the undergraduate teaching of mathematics. She has also taught as Professor of the Practice in the Teaching of Mathematics at Harvard University, and continues to hold an affiliation with Harvard as Adjunct Professor of Public Policy in the John F. Kennedy School of Government.

Hughes Hallett earned a bachelor's degree in mathematics from the University of Cambridge in 1966, and a master's degree from Harvard in 1976. She worked as a preceptor and senior preceptor at Harvard from 1975 to 1991, as an instructor at the Middle East Technical University in Ankara, Turkey from 1981 to 1984, and as a faculty member at Harvard from 1986 to 1998. She served as Professor of the Practice in the Teaching of Mathematics at Harvard from 1991 to 1998. She moved to Arizona in 1998, and took on her adjunct position at the Kennedy School in 2001.

New to Edition
  • New Strengthen Your Understanding problems at the end of every section. These problems ask students to reflect on what they have learned by deciding “What is wrong?” with a statement and to “Give an example” of an idea.
  • Updated Data and Models: For example, Section 11.7 follows the current debate on Peak Oil Production, underscoring the importance of mathematics in understanding the world’s economic and social? problems.
  • Drill Exercises build student skill and confidence.
  • Online Problems available in WileyPLUS or WeBWorK, for example. Many problems are randomized,? providing students with expanded opportunities for practice with immediate feedback.
  • Projects at the end of each chapter provide opportunities for a sustained investigation, often using skills from different parts of the course.
  • ConcepTests promote active learning in the classroom. These can be used with or without clickers (personal response systems), and have been shown to dramatically improve student learning.
  • Class Worksheets allow instructors to engage students in individual or group class-work. Samples are available in the Instructor’s Manual, and all are on the web at www.wiley.com/college/hughes-hallett 

 

Features
  • Innovative and engaging problems. Under the approach called the “Rule of Four,” ideas are presented graphically, numerically, symbolically, and verbally, thereby encouraging students with a variety of learning styles to expand their knowledge.
  • A Flexible Approach to Technology: Adaptable to courses having various levels of computer involvement, ranging from little or none to intensive. The book does not require any specific software or technology, though it has been used successfully with graphing calculators, graphing software, and computer algebra systems.
  • Applied Problems for instructors wishing to emphasize the connection between calculus and other fields.