This text is designed for a three-semester or four-quarter calculus course (math, engineering, and science majors).
Calculus hasn’t changed, but your students have. Today’s students have been raised on immediacy and the desire for relevance, and they come to calculus with varied mathematical backgrounds. Thomas’ Calculus, Twelfth Edition, helps your students successfully generalize and apply the key ideas of calculus through clear and precise explanations, clean design, thoughtfully chosen examples, and superior exercise sets. Thomas offers the right mix of basic, conceptual, and challenging exercises, along with meaningful applications. This significant revision features more examples, more mid-level exercises, more figures, and improved conceptual flow.
This is the complete text, which contains Chapters 1-16. Separate versions are available, covering just Single Variable topics (contains Chapters 1-11 and Multivariable topics (contains Chapters 11-16). MyMathLab access is not included with this ISBN.
Table of Contents
Chapter 1. Functions
Chapter 2. Limits and Continuity
Chapter 3. Differentiation
Chapter 4. Applications of Derivatives
Chapter 5. Integration
Chapter 6. Applications of Definite Integrals
Chapter 7. Transcendental Functions
Chapter 8. Techniques of Integration
Chapter 9. First-Order Differential Equations
Chapter 10. Infinite Sequences and Series
Chapter 11. Parametric Equations and Polar Coordinates
Chapter 12. Vectors and the Geometry of Space
Chapter 13. Vector-Valued Functions and Motion in Space
Chapter 14. Partial Derivatives
Chapter 15. Multiple Integrals
Chapter 16. Integration in Vector Fields
Chapter 17. Second-Order Differential Equations