Includes a new introduction to multivariable calculus with three new sections integrated into the development of the corresponding single variable material.

Includes a new final chapter on differential equations.

An introductory note speaks to instructors who may not have time to cover all material in the text, and comments on the interrelationship between topics, and how to modify the presentation to fit course needs.

A wealth of exercises, varying in style and degree of difficulty, are found in each section and ask students to test their understanding of key material.  Hints are provided for the more difficult problems, and a number of problems are broken down into more manageable parts.