Calculus: Multivariable, 6th Edition
October 2012, ©2013
This Sixth Edition of Calculus continues the effort to promote courses in which understanding and computation reinforce each other. Calculus: 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.
Chapter 12: Functions of Several Variables
Chapter 13: A Fundamental Tool: Vectors
Chapter 14: Differentiating Functions of Several Variables
Chapter 15: Optimization: Local and Global Extrema
Chapter 16: Integrating Functions of Several Variables
Chapter 17: Parameterization and Vector Fields
Chapter 18: Line Integrals
Chapter 19: Flux Integrals and Divergence
Chapter 20: The Curl and Stokes’ Theorem
Chapter 21: Parameters, Coordinates, and Integrals
- 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.
- 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.