**New author, Colin Adams**

Colin Adams is an award-winning teacher, widely read author, and distinguished researcher. A user of Jon Rogawski’s textbook, he brings his own classroom experience to the project, as well as a well-regarded ability to make calculus more engaging and meaningful to students without sacrificing its precision and rigor.

Refined Exercises

The exercise sets were reviewed extensively by longtime users to ensure the utmost accuracy, clarity, and complete content coverage. Exercise sets were also modified to improve upon the grading by level of difficulty and to ensure even/odd pairing.

In addition, numerous new exercises have been added throughout the text, particularly where new applications are available or to enhance conceptual development.

New Examples, including

Example 7 in Section 4.3 where the local minimum occurs at critical point but derivative does not exist

Example 5 in Section 6.1 that computes the areas between two curves in two ways

Several new examples in Chapter 10 including Example 1 (Fibonacci sequence) and Example 4 (bounded sequence) in Section 10.1 and Example 5 (repeated decimal expansion) in Section 10.2

Several examples in Chapter 14 including Example 7 (a limit that does not exist because different paths product different limits) in Section 14.2, Example 9 (gradient vectors perpendicular to level curves) in Section 14.5 and Example 5 (Second Derivative Tests fails) in Section 14.7

New Content Based on User and Reviewer Feedback**Strategies of Integration** (new section in Ch. 7), incorporates many new examples to guide students on how to tackle integration problems

**Determining Which Convergence Test To Apply** (new in Ch. 10, sec. 5) reviews each test and provides strategies on when to apply them

Coverage of these concepts now focuses more on concepts and methods, rather than formulas and memorization:

Derivatives of inverse trigonometric functions (Ch. 3) Trigonometric integrals (Ch. 7)

Quadric surfaces (Ch. 12)

New Illustrations

This edition includes a number of new figures that help students visualize concepts, including illustrations that explain:What a limit means (Fig. 5 in Section 2.1, Fig. 3 in Section 2.2)

The Intermediate Value Theorem (Fig. 2 in Section 2.8)

Vertically and horizontally simple regions (Figs. 2 and 9 in Section 6.1)

**Standardized Notation**

Notational changes bring this edition in line with standard notation usage in mathematics and other fields that use mathematics, presenting a consistent message to students. Other notational changes make it easier for students to comprehend the concepts.

For example, in multivariable chapters, notation for vector-valued functions is now written r(t) = <x(t), y(t)> instead of c(t) = (x(t), y(t)) and the standard notation V is used for potential functions.

**LearningCurve**

In a game-like format, LearningCurve adaptive and formative quizzing provides an effective way to get students involved in the coursework. It offers:**A unique learning path for each student**, with quizzes shaped by each individual’s correct and incorrect answers.**A Personalized Study Plan,** to guide students’ preparation for class and for exams.**Feedback for each question** with live links to relevant e-book pages, guiding students to the reading they need to do to improve their areas of weakness.

ONLINE HOMEWORK OPTION

In addition to the robust online homework system in LaunchPad, instructors can take advantage of the following W. H. Freeman partnerships:**WeBWorK**

**webwork.maa.org**

W. H. Freeman offers approximately 2,500 algorithmically generated questions (with full solutions) through this free open source online homework system developed at the University of Rochester. Adopters also have access to a shared national library test bank with thousands of additional questions, including 1,500 problem sets correlated to the Third Edition.

**WebAssign Premium**

www.webassign.net/whfreeman

Premium for Calculus, Third Edition integrates the book’s exercises into the world’s most popular and trusted online homework system, making it easy to assign algorithmically generated homework and quizzes. WebAssign Premium also offers access to all of the book’s digital resources, with the option of including the complete e-Book.