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Calculus: Single Variable, 6th Edition


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Calculus: Single Variable, 6th Edition


Calculus: Single Variable, 6th Edition continues the effort to promote courses in which understanding and computation reinforce each other. The 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 1: A Library of Functions

Chapter 2: Key Concept: The Derivative

Chapter 3: Short-Cuts to Differentiation

Chapter 4: Using the Derivative

Chapter 5: Key Concept: The Definite Integral

Chapter 6: Constructing Antiderivatives

Chapter 7: Integration

Chapter 8: Using the Definite Integral

Chapter 9: Sequences and Series

Chapter 10: Approximating Functions Using Series

Chapter 11: Differential Equations

  • 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 


  • 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.