Thomas' Calculus:Global Edition /MATLAB & Simulink Student Version 2012a

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

15.1 Double and Iterated Integrals over Rectangles

16. Integration in Vector Fields

17. Second-Order Differential Equations (online)

Appendices

• 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.

Joel Hass received his PhD from the University of California—Berkeley. He is currently a professor of mathematics at the University of California—Davis. He has coauthored six widely used calculus texts as well as two calculus study guides. He is currently on the editorial board of Geometriae Dedicata and Media-Enhanced Mathematics. He has been a member of the Institute for Advanced Study at Princeton University and of the Mathematical Sciences Research Institute, and he was a Sloan Research Fellow. Hass’s current areas of research include the geometry of proteins, three dimensional manifolds, applied math, and computational complexity. In his free time, Hass enjoys kayaking.

Maurice D. Weir holds a DA and MS from Carnegie-Mellon University and received his BS at Whitman College. He is a Professor Emeritus of the Department of Applied Mathematics at the Naval Postgraduate School in Monterey, California. Weir enjoys teaching Mathematical Modeling and Differential Equations. His current areas of research include modeling and simulation as well as mathematics education. Weir has been awarded the Outstanding Civilian Service Medal, the Superior Civilian Service Award, and the Schieffelin Award for Excellence in Teaching. He has coauthored eight books, including the University Calculus series and the twelfth edition of Thomas’ Calculus.

George B. Thomas, Jr. (late) of the Massachusetts Institute of Technology, was a professor of mathematics for thirty-eight years; he served as the executive officer of the department for ten years and as graduate registration officer for five years. Thomas held a spot on the board of governors of the Mathematical Association of America and on the executive committee of the mathematics division of the American Society for Engineering Education. His book, Calculus and Analytic Geometry, was first published in 1951 and has since gone through multiple revisions. The text is now in its twelfth edition and continues to guide students through their calculus courses. He also co-authored monographs on mathematics, including the text Probability and Statistics.

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