Andrew M. Gleason

Interactive classrooms and well-crafted problems promote student learning. Since it's inception, the hallmark of Applied Calculus is its innovative and engaging problems. The Calculus Consortium pioneered and incorporates the approach called the "Rule of Four." The Rule of Four, presents ideas graphically, numerically, symbolically, and verbally, thereby encouraging students with a variety of learning styles to deepen their understanding as they work through a wide variety of problem types.

Calculus: Single and Multivariable, 7th Edition continues the effort to promote courses in which understanding and computation reinforce each other. The 7th 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. The program includes a variety of problems and examples from the physical, health, and biological sciences, engineering and economics; emphasizing the connection between calculus and other fields.

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.

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 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. Series Chapter 10. Approximating Functions Chapter 11. Differential Equations Appendices Calculus Easy Reference

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. Series Chapter 10. Approximating Functions Chapter 11. Differential Equations Chapter 12. Functions of Several Variables Chapter 13. A Fundamental Tool: Vectors Chapter 14. Differentiating Functions of Many Variables Chapter 15. Optimization: Local and Global Extrema Chapter 16. Integrating Functions of Many Variables Chapter 17. Parameterized Curves and Vector Fields Chapter 18. Line Integrals Chapter 19. Flux Integrals Chapter 20. Calculus of Vector Fields Appendices Calculus Easy Reference