Calculus: Early Transcendentals
Second Edition   ©2012

Calculus: Early Transcendentals

Jon Rogawski (University of California, Los Angeles)

  • ISBN-10: 1-4292-0838-4; ISBN-13: 978-1-4292-0838-3; Format: Cloth Text, 1208 pages
Jon Rogawski’s new edition of Calculus builds on the strengths of the bestselling First Edition by incorporating his own classroom experience, as well as extensive feedback from many in the mathematics community, including adopters, nonusers, reviewers, and students.  Every section has been carefully revised in order to further polish a text that has been enthusiastically recognized for its meticulous pedagogy and its careful balance among the fundamental pillars of calculus instruction: conceptual understanding, skill development, problem solving, and innovative real world applications.
 
Enhanced Exercise Sets—with Approximately 25% New and Revised Problems 
The Second Edition features thousands of new and updated problems.  Exercise sets were meticulously reviewed by users and nonusers to assist the author as he revised this cornerstone feature of the text. Rogawski carefully evaluated and rewrote exercise sets as needed to further refine quality, pacing, coverage and quantity.
 
New and Larger Variety of Applications
To show students how calculus directly relates to the real world, the Second Edition features many fresh and creative examples and exercises centered on innovative, contemporary applications from engineering, the life sciences, physical sciences, business, economics, medicine, and the social sciences. 
 
Updated Art Program— with Approximately 15% New Figures
Throughout the Second Edition, there are numerous new and updated figures with refined labeling to increase student understanding.  The author takes special care to position the art with the related exposition and provide multiple figures rather than a single one for increased visual support of the concepts.
 
Key Content Changes
Rogawski’s Second Edition includes several content changes in response to feedback from users and reviewers. The key revisions include:
 
- The topic “Limits at Infinity” has been moved forward from Chapter 4 to Section 2.7 so all types of limits are introduced together (Chapter 2 Limits).
- Coverage of “Differentials” has been expanded in ET Section 4.1 and ET Section 14.4 for those who wish to emphasize differentials in their approach to Linear Approximation.
- “L'Hôpital’s Rule” has been moved up in the ET version so this topic can support the section on graph sketching (Chapter 4 Applications of the Derivative in ET).
- The section on “Numerical Integration” has been moved to the end of the chapter after the techniques of integration are presented (Techniques of Integration chapter).
- A section on “Probability and Integration” was added to allow students to explore new applications of integration important in the physical sciences, as well as in business and the social sciences (Techniques of Integration chapter).
- Multivariable Calculus: Recognized as especially strong in Rogawski’s Calculus, the multivariable chapters have been meticulously refined to enhance pedagogy and conceptual clarity. Exercise sets have been improved and rebalanced to fully support basic skill development, as well as conceptual and visual understanding.
- A new section “Applications of Multiple Integrals” has been added to ET Chapter 15 (LT Chapter 16) to unify the approach to applications of multiple integration and give students an even broader selection of applied problems from the physical and social sciences.