This Sixth Edition of Calculus continues the effort to promote courses in which understanding and computation reinforce each other. Calculus: Single Variable 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 FunctionsChapter 2: Key Concept: The DerivativeChapter 3: Short-Cuts to DifferentiationChapter 4: Using the DerivativeChapter 5: Key Concept: The Definite IntegralChapter 6: Constructing AntiderivativesChapter 7: IntegrationChapter 8: Using the Definite IntegralChapter 9: Sequences and SeriesChapter 10: Approximating Functions Using SeriesChapter 11: Differential Equations