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, 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.
New to this Edition
950 new, updated, and improved exercises, including many new mid-level exercises, provide more ways for you to address your students' needs
New examples in many sections clarify or deepen the meaning of the topics covered and help students understand their mathematical applications and consequences to science and engineering.
New figures have been added, and many others have been revised to enhance conceptual understanding.
MyMathLab now has more than 7,900 assignable exercises, including 670 that address prerequisite skills, giving you the selection you need to create the right homework assignments and assessments.
Table of Contents
1. Functions
2. Limits and Continuity
3. Differentiation
4. Applications of Derivatives
5. Integration
6. Applications of Definite Integrals
7. 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