商品簡介
Reflects how students use a textbook— they generally start with the exercises and flip back to the narrative for help if they need it.
Comprehensive exercise sets provide for a variety of student needs and are consistently structured and labeled to facilitate the creation of homework assignments.
Review Questions check that students have a general conceptual understanding of the essential ideas from the section.
Basic Skills exercises are linked to examples in the section so students get off to a good start with homework.
Further Explorations exercises extend students’ abilities beyond the basics.
Applications present practical and novel applications and models that use the ideas presented in the section.
Additional Exercises challenge students to stretch their understanding by working through abstract exercises and proofs.
NEW! 20% more exercises, including more mid-level exercises to enhance the pace of the book and give students more of a computational footing for the exercises that follow.
When students flip back to the narrative for help with exercises, they find:
Writing that reflects the voice of the instructor.
Plentiful examples, each stepped-out in detail. Within examples, the steps are annotated in blue type to help students understand what took place in each step.
Figures that are designed to teach rather than simply supplement the narrative. The figures are annotated to lead students through the key ideas, and rendered using the latest software for unmatched clarity and precision.
Quick Check exercises punctuate the narrative at key points to test understanding of basic ideas and encourage students to read with pencil in hand.
Organization and presentation facilitates learning of key concepts, skills, and applications.
Topics are introduced through concrete examples, geometric arguments, applications, and analogies rather than through abstract arguments. The authors appeal to students’ intuition and geometric instincts to make calculus natural and believable.
The 650 Interactive Figures in the eBook provide a resource for instructors to help students visualize concepts where chalk or a marker falls short. The exercises that accompany the figures provide an opportunity for students to manipulate them as part of homework.
Sequences and Series, the most challenging content in Calculus 2 for students, has been spread over two chapters to help clarify and pace it more effectively.
Chapter 9, Sequences and Infinite Series, begins by providing a big picture with concrete examples of the difference between a sequence and a series followed by studying the properties and limits of sequences in addition to studying special infinite series and convergence tests. This chapter lays the groundwork for analyzing the absolute convergence for power series.
Chapter 10, Power Series, begins with approximating with polynomials. Power series are introduced as a new way to define functions, building on one series by generating new series using composition, differentiation and integration. Taylor series are then covered and the motivation that precedes the section should make the topic more accessible.
The authors chart a clear and uncluttered path through multivariable calculus. They separate cleanly vector-valued functions, functions of several variables, and vector calculus by placing them in separate chapters. This separation avoids common student errors, such as confusing the equation of a line and the equation of a plane in R3.
The Instructor’s Resource Guide and Test Bank provides a wealth of instructional resources including Guided Projects, Lecture Support Notes with Key Concepts, Quick Quizzes for each section in the text, Chapter Reviews, Chapter Test Banks, Tips and Help for Interactive Figures, and Student Study Cards.
Guided Projects, available for each chapter, require students to carry out extended calculations (e.g., finding the arc length of an ellipse), derive physical models (e.g., Kepler’s Laws), or explore related topics (e.g., numerical integration). The “guided” nature of the projects provides scaffolding to help students tackle these more involved problems.
作者簡介
Williams Briggs - University of Colorado, Denver
Lyle Cochran - Whitworth University
Bernard Gillett - University of Colorado, Boulder
with the assistance of
Eric Schulz - Walla Walla Community College
目次
2.Limits
3.Derivatives
4.Applications of the Derivative
5.Integration
6.Applications of Integration
7.Logarithmic and Exponential Functions
8.Integration Techniques
9.Sequences and Infinite Series
10.Power Series
11.Parametric and Polar Curves
12.Vectors and Vector-Valued Functions
13.Functions of Several Variables
14.Multiple Integration
15.Vector Calculus
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