Sequences and Infinite Series. Pearson offers affordable and accessible purchase options to meet the needs of your students. Connect with us to learn more. William Briggs has been on the mathematics faculty at the University of Colorado at Denver for twenty-three years.
He teaches undergraduate and graduate courses throughout the mathematics curriculum with a special interest in mathematical modeling and differential equations as it applies to problems in the biosciences.
He has taught a wide variety of undergraduate mathematics courses at Washington State University, Fresno Pacific University, and, since , at Whitworth University. His expertise is in mathematical analysis, and he has a special interest in the integration of technology and mathematics education. We're sorry! We don't recognize your username or password. Please try again. The work is protected by local and international copyright laws and is provided solely for the use of instructors in teaching their courses and assessing student learning.
You have successfully signed out and will be required to sign back in should you need to download more resources. Out of print. Multivariable Calculus, 2nd Edition. William L. If You're an Educator Download instructor resources Additional order info. Description For a one-semester or two-quarter calculus course covering multivariable calculus for mathematics, engineering, and science majors.
This text offers a superior teaching and learning experience. Reflects how students use a textbook —they start with the exercises and flip back for help if they need it.
Organization and presentation of content facilitates learning of key concepts, skills, and applications. The MyMathLab course for the text features: More than 7, assignable exerc ises to provide you with the options you need to meet the needs of students.
Most exercises can be algorithmically regenerated for unlimited practice. Learning aids include guided exercises, additional examples, and tutorial videos. You control how much help your students can get and when. The figures are also ideal for in-class demonstrations. Interactive Figure Exercises provide a way for you to make the most of the Interactive Figures by including them in homework assignments. The addition of: Hundreds of new algorithmic exercises that correspond to those in the text.
To help determine which exercises to add, we analyzed data mined from students using the MyMathLab course from the first edition. These exercises provide support for students in their first attempts at new and important problems. More exercises that call for student manipulation and analysis of the Interactive Figures. Exercises that take advantage of the more sophisticated graphing functionality recently added to MyMathLab. A Conceptual Questions Library that augments the text exercises to focus on deeper, theoretical understanding of the key concepts in calculus.
Please try again. The work is protected by local and international copyright laws and is provided solely for the use of instructors in teaching their courses and assessing student learning.
You have successfully signed out and will be required to sign back in should you need to download more resources. Calculus, Multivariable, 3rd Edition. William L. If You're an Educator Request a copy Additional order info. Description For 3- to 4-semester courses covering single-variable and multivariable calculus, taken by students of mathematics, engineering, natural sciences, or economics.
This package includes MyLab Math. Reach every student by pairing this text with MyLab Math MyLab Math is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. Learn more about MyLab Math.
Series This product is part of the following series. The exercise sets are a major focus of the revision. In response to reviewer and instructor feedback, the authors implemented some significant changes to the exercise sets by rearranging and relabeling exercises, modifying some exercises, and adding many new ones. A simplified exercise set structure went from including five parts to three: Getting Started, Practice Exercises, Explorations and Challenges.
Figures — Based on their experiences with students who learn better once they are able to visualize concepts, the authors devoted considerable time and deliberation to the figures in this book.
Readers will quickly find that the figures facilitate learning in new ways. Annotated Examples — Worked-out examples feature annotations set in blue type to guide students through the process of a solution and to emphasize that each step in a mathematical argument is rigorously justified.
These annotations are designed to echo how instructors talk through examples in lecture. They also provide help for students who may struggle with the algebra and trigonometry steps within the solution process.
Quick Checks — The narrative is interspersed with Quick Check questions that encourage students to do the calculus as they are reading about it. These questions resemble the kinds of questions instructors pose in class. Reach every student with MyLab Deliver trusted content: You deserve teaching materials that meet your own high standards for your course. Additional Conceptual Questions focus on deeper, theoretical understanding of the key concepts in calculus.
Additional practice problems --beyond those in the textbook sections--have been added to selected sections within MyLab Math.
The authors have written Interactive Figure Exercises that can be assigned for homework so that students can engage with the figures outside of the classroom. Empower each learner: Each student learns at a different pace. Personalized learning pinpoints the precise areas where each student needs practice, giving all students the support they need—when and where they need it—to be successful.
Enhanced Sample Assignments — These section-level assignments include just-in-time prerequisite review, help keep skills fresh with spaced practice of key concepts, and provide opportunities to work exercises without learning aids so students check their understanding Teach your course your way: Your course is unique.
Guided Projects — MyLab Math contains 78 Guided Projects that allow students to work in a directed, step-by-step fashion, with various objectives: to carry out extended calculations, to derive physical models, to explore related theoretical topics, or to investigate new applications of calculus. The Guided Projects vividly demonstrate the breadth of calculus and provide a wealth of mathematical excursions that go beyond the typical classroom experience. Access pre-built exercises created specifically for calculus, including Additional Conceptual Questions.
Improve student results: When you teach with MyLab, student performance often improves. New to This Edition. New to the Book The exercise sets are a major focus of the revision. A s implified exercise set structure went from five parts to three: Getting Started, Practice Exercises, Explorations and Challenges. Content Change s Below are noteworthy changes from the previous edition of the text.
The 2e section that covered the Comparison, Ratio, and Root Tests was split to avoid overwhelming students with too many tests at one time. Section Alternating Series has been moved before the Ratio and Root Tests so that the latter tests may be stated in their more general form they now apply to any series rather than only series with positive terms.
The final section The terminology associated with sequences Theorem The number and variety of exercises where the student must determine the appropriate series test necessary to determine convergence of a given series has been increased.
Chapter Power Series Chapter 11 was revised to mesh with the changes made in Chapter Some easier intermediate-level exercises have been added to Exercises that take advantage of the more sophisticated graphing functionality recently added to MyMathLab. A Conceptual Questions Library augments the text exercises to focus on deeper, theoretical understanding of the key concepts in calculus.
Integrated Review MyLab Math courses provide a full suite of supporting resources for the main course content plus additional assignments and study aids for students who will benefit from remediation. Assignments for the Integrated Review content are preassigned in MyLab Math making it easier than ever to create your course. The requirement that students provide units for real-world exercises e.
Answer-checking algorithms have been re-checked and refined where necessary. To address the growing use of video by students and instructors, we have greatly increased the number of instructional videos. 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. 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. 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.
Topics are introduced through concrete examples, geometric arguments, applications, and analogies rather than through abstract arguments. The 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 has been spread over two chapters to help clarify and pace it more effectively. Chapter 8, 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 9, 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 R 3. Guided Projects, available for each chapter, require students to carry out extended calculations e. New to This Edition.
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