Description
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: Early Transcendentals, 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, improved conceptual flow, and the best in technology for learning and teaching.
Features
Strong exercise sets feature a great breadth of problems-progressing from skills problems to applied and theoretical problems-to encourage students to think about and practice the concepts until they achieve mastery.
Figures are conceived and rendered to provide insight for students and support conceptual reasoning.
The flexible table of contents divides complex topics into manageable sections, allowing instructors to tailor their course to meet the specific needs of their students. For example, the precise definition of the limit is contained in its own section and may be skipped.
Complete and precise multivariable coverage enhances the connections of multivariable ideas with their single-variable analogues studied earlier in the book.
A robust MyMathLab course contains 7,900 assignable exercises, a complete e-book, and built-in tutorials so students can get help whenever they need it.
A complete suite of instructor and student supplements saves class preparation time for instructors and improves students' learning.
Table of Contents
1. Functions
2. Limits and Derivatives
3. Differentiation
4. Applications of Derivatives
5. Integration
6. Applications of Definite Integrals
7. Integrals and Transcendental Functions
8. Techniques of Integration
9. First-Order Differential Equations
10. Infinite Sequences and Series
11. Parametric Equations and Polar Coordinates
12. Vectors and the Geometry of Space
13. Vector-Valued Functions and Motion in Space
14. Partial Derivatives
15. Multiple Integrals
16. Integration in Vector Fields
17. Second-Order Differential Equations (online)
Appendices